source: trunk/anuga_core/source/anuga_validation_tests/bibliography.bib @ 8894

Last change on this file since 8894 was 8894, checked in by mungkasi, 12 years ago

Adding an explanation and references for the Yeh-Petroff dam break.
File size: 52.7 KB
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1@ARTICLE{GD2004,
2 author    = {M. Gomez-Gesteira and R. A. Dalrymple},
3 title     = {Using a Three-Dimensional Smoothed Particle Hydrodynamics Method for Wave Impact on a Tall Structure},
4 journal   = {Journal of Waterway, Port, Coastal, and Ocean Engineering},
5 year      = {2004},
6 volume    = {130},
7 number    = {2},
8 pages     = {63--69},
9 note      = {\url{http://dx.doi.org/10.1061/(ASCE)0733-950X(2004)130:2(63)}}
10}
11
12@BOOK{SC2006,
13 author    = {T. B. Silvester and P. W. Cleary},
14 title     = {Wave-structure interaction using smoothed particle hydrodynamics},
15 publisher = {Fifth International Conference on CFD in the Process Industries, 13--15 December 2006},
16 address   = {CSIRO, Melbourne, Australia},
17 year      = {2006}, 
18 note      = {\url{www.cfd.com.au/cfd_conf06/PDFs/026Sil.pdf}}
19}
20
21@ARTICLE{APY2009,
22 author    = {H. Arnason and C. Petroff and H. Yeh},
23 title     = {Tsunami bore impingement onto a vertical column},
24 journal   = {Journal of Disaster Research},
25 year      = {2009},
26 volume    = {4},
27 number    = {6},
28 pages     = {391--403},
29 note      = {\url{www.fujipress.jp}}
30}
31
32@ARTICLE{ECG2005,
33 author    = {E. Erturk and T. C. Corke and C. Gokcol},
34 title     = {Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers},
35 journal   = {International Journal for Numerical Methods in Fluids},
36 year      = {2005},
37 volume    = {48},
38 number    = {7},
39 pages     = {747--774},
40 note      = {\url{http://dx.doi.org/10.1002/fld.953}}
41}
42@ARTICLE{CCFNC2006,
43 author    = {L. Cueto-Felgueroso and I. Colominas and J. Fe and F. Navarrina and M. Casteleiro},
44 title     = {High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics},
45 journal   = {International Journal for Numerical Methods in Engineering},
46 year      = {2006},
47 volume    = {65},
48 number    = {3},
49 pages     = {295--331},
50 note      = {\url{http://dx.doi.org/10.1002/nme.1442}}
51}
52
53
54
55
56
57
58@ARTICLE{MBNS1997,
59 author    = {I. MacDonald and M. J. Baines and N. K. Nichols and P. G. Samuels},
60 title     = {Analytic benchmark solutions for open-channel flows},
61 journal   = {Journal of Hydraulic Engineering},
62 year      = {1997},
63 volume    = {123},
64 number    = {11},
65 pages     = {1041--1045},
66 note      = {\url{http://dx.doi.org/10.1061/(ASCE)0733-9429(1997)123:11(1041)}}
67}
68
69@ARTICLE{MBNS1995,
70 author    = {I. MacDonald and M. J. Baines and N. K. Nichols and P. G. Samuels},
71 title     = {Steady open channel test problems with analytic solutions},
72 journal   = {Numerical Analysis Report 3/95, University of Reading},
73 year      = {1995},
74 note      = {\url{http://www.reading.ac.uk/web/FILES/maths/03-95.pdf}}
75}
76
77@ARTICLE{Delestre-etal2012,
78 author    = {O. Delestre and C. Lucas and P.-A. Ksinant and F. Darboux and
79              C. Laguerre and T.-N. -Tuoi Vo and F. James and S. Cordier},
80 title     = {SWASHES: a compilation of shallow water analytic solutions for hydraulic and environmental studies},
81 journal   = {International Journal for Numerical Methods in Fluids},
82 year      = {2012},
83 volume    = {Early View},
84 note      = {\url{http://dx.doi.org/10.1002/fld.3741}}
85}
86
87
88
89@ARTICLE{HK1968,
90 author    = {D. D. Houghton and A. Kasahara},
91 title     = {Nonlinear shallow fluid flow over an isolated ridge},
92 journal   = {Communications on Pure and Applied Mathematics},
93 year      = {1968},
94 volume    = {21},
95 number    = {1},
96 pages     = {1--23},
97 note      = {\url{http://dx.doi.org/10.1002/cpa.3160210103}}
98}
99
100@BOOK{GM1997,
101 author    = {N. Goutal and F. Maurel},
102 title     = {Technical Report HE-43/97/016/B: Proceedings of the 2nd Workshop on Dam-Break Wave Simulation},
103 publisher = {Direction des \'etudes et recherches, Electricit\'e de France},
104 address   = {Paris},
105 year      = {1997}
106}
107
108
109
110@BOOK{ZTN2005,
111 author    = {O. C. Zienkiewicz and R. L. Taylor and P. Nithiarasu},
112 title     = {The Finite Element Method for Fluid Dynamics},
113 publisher = {Elsevier Butterworth-Heinemann},
114 address   = {Burlington},
115 year      = {2005},
116 edition   = {6th},
117 note      = {\url{http://store.elsevier.com/The-Finite-Element-Method-for-Fluid-Dynamics/O_-C_-Zienkiewicz/isbn-9780750663229/}}
118}
119
120
121@BOOK{Strikwerda2004,
122 author    = {J. C. Strikwerda},
123 title     = {Finite Difference Schemes and Partial Differential Equations},
124 publisher = {SIAM},
125 address   = {Philadelphia},
126 year      = {2004},
127 edition   = {2nd},
128 note      = {\url{http://dx.doi.org/10.1137/1.9780898717938}}
129}
130
131
132
133@BOOK{MM2005,
134 author    = {K. W. Morton and D. F. Mayers},
135 title     = {Numerical Solution of Partial Differential Equations},
136 publisher = {Cambridge University Press},
137 address   = {Cambridge},
138 year      = {2005},
139 edition   = {2nd},
140 note      = {\url{http://www.cambridge.org/gb/knowledge/isbn/item1110027/?site_locale=en_GB}}
141}
142
143@BOOK{CF1948,
144 author    = {R. Courant and K. O. Friedrichs},
145 title     = {Supersonic Flow and Shock Waves},
146 publisher = {Interscience Publishers},
147 address   = {New York},
148 year      = {1948},
149 note      = {\url{http://www.springer.com/mathematics/analysis/book/978-0-387-90232-6}}
150}
151@BOOK{Knobel2000,
152 author    = {R. Knobel},
153 title     = {An Introduction to the Mathematical Theory of Waves},
154 publisher = {American Mathematical Society},
155 address   = {Providence},
156 year      = {2000},
157 note      = {\url{http://www.ams.org/bookpages/stml-3}}
158}
159@BOOK{Smoller1983,
160 author    = {J. Smoller},
161 title     = {Shock Waves and Reaction-Diffusion Equations},
162 publisher = {Springer-Verlag},
163 address   = {New York},
164 year      = {1983},
165 note      = {\url{http://www.springer.com/mathematics/analysis/book/978-0-387-94259-9}}
166}
167
168
169@BOOK{Jakeman2006,
170 author    = {J. Jakeman},
171 title     = {Honours thesis: On numerical solutions of the shallow water wave equations},
172 publisher = {The Australian National University},
173 address   = {Canberra},
174 year      = {2006}
175}
176
177@BOOK{George2006,
178 author    = {D. L. George},
179 title     = {Ph.D. dissertation: Finite volume methods and adaptive refinement for tsunami propagation and inundation},
180 publisher = {The University of Washington},
181 address   = {Seattle},
182 year      = {2006}
183}
184@BOOK{Mungkasi2008,
185 author    = {S. Mungkasi},
186 title     = {Masters thesis: Finite volume methods for the one-dimensional shallow water equations},
187 publisher = {The Australian National University},
188 address   = {Canberra},
189 year      = {2008}
190}
191@BOOK{Stals1995,
192 author    = {L. Stals},
193 title     = {Ph.D. thesis: Parallel multigrid on unstructured grids using adaptive finite element methods},
194 publisher = {The Australian National University},
195 address   = {Canberra},
196 year      = {1995}
197}
198@ARTICLE{PS2011CiCP,
199 author    = {G. Puppo and M. Semplice},
200 title     = {Numerical entropy and adaptivity for finite volume schemes},
201 journal   = {Communications in Computational Physics},
202 year      = {2011},
203 volume    = {10},
204 number    = {5},
205 pages     = {1132--1160},
206 note      = {\url{http://dx.doi.org/10.4208/cicp.250909.210111a}}
207}
208
209
210
211@ARTICLE{FK2011,
212 author    = {J. Felcman and L. Kadrnka},
213 title     = {Adaptive finite volume approximation of the shallow water equations},
214 journal   = {Applied Mathematics and Computation},
215 year      = {2012},
216 volume    = {219},
217 number    = {7}, 
218 pages     = {3354--3366},
219 note      = {\url{http://dx.doi.org/10.1016/j.amc.2011.04.042}}
220}
221
222
223@ARTICLE{PS2011PhysProc,
224 author    = {G. Puppo and M. Semplice},
225 title     = {Entropy and the numerical integration of conservation laws},
226 journal   = {\emph{submitted to} Physics Procedia, Proceedings of the 2nd annual meeting of the Lebanese Society for Mathematical Sciences 2011},
227 year      = {2011},
228 note      = {\url{http://calvino.polito.it/~puppo/papers/lebanon.pdf}}
229}
230
231@ARTICLE{MR2011DA,
232 author    = {S. Mungkasi and S. G. Roberts},
233 title     = {A new analytical solution for testing debris avalanche numerical models},
234 journal   = {ANZIAM Journal (E)},
235 year      = {2011},
236 volume    = {52},
237 pages     = {C349--C363},
238note     ={\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3785/1465}}
239}
240
241@ARTICLE{MR2011NEP,
242 author    = {S. Mungkasi and S. G. Roberts},
243 title     = {Numerical entropy production for shallow water flows},
244 journal   = {ANZIAM Journal (E)},
245 year      = {2011},
246 volume    = {52},
247 pages     = {C1--C17},
248note      ={\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3786/1410}} 
249}
250
251
252@ARTICLE{MR2013NEP,
253 author    = {S. Mungkasi and S. G. Roberts},
254 title     = {Behaviour of the numerical entropy production of the one-and-a-half-dimensional shallow water equations},
255 journal   = {ANZIAM Journal (E)},
256 year      = {2013},
257 pages     = {to appear},
258note      ={\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ}} 
259}
260
261
262
263
264
265@ARTICLE{Golay2009,
266author     = { F. Golay},
267 title     = { Numerical entropy production and error indicator for compressible flows},
268 journal   = {Comptes Rendus Mecanique}, 
269 volume    = {337},
270 number    = {4},
271 pages     = {233--237}, 
272 year      = {2009},
273 note      = {\url{http://dx.doi.org/10.1016/j.crme.2009.04.004}}
274 }
275
276@ARTICLE{EGY2012,
277author     = {M. Ersoy and F. Golay and L. Yushchenko},
278 title     = {Adaptive multi-scale scheme based on numerical entropy production for conservation laws},
279 journal   = {Central European Journal of Mathematics}, 
280 year      = {2013}, 
281 pages     = {to appear}, 
282 note      = {\url{http://imath.univ-tln.fr/fichier/preprints/imath_20120328120101_83.pdf}}
283 }
284
285
286@ARTICLE{Lar1991,
287author     = { B. Larrouturou},
288 title     = { How to preserve the mass fractions positivity when computing compressible multi-component flows},
289 journal   = {Journal of Computational Physics}, 
290 volume    = {95},
291 number    = {1},
292 pages     = {59--84}, 
293 year      = {1991},
294 note      = {\url{http://dx.doi.org/10.1016/0021-9991(91)90253-H}}
295 }
296
297
298@ARTICLE{BNL2011,
299author     = {A. Bollermann and S. Noelle and M. Lukacova-Medvidova},
300 title     = { Finite volume evolution {G}alerkin methods for the shallow water equations with dry beds},
301 journal   = {Communications in Computational Physics}, 
302 volume    = {10},
303 number    = {2},
304 pages     = {371--404}, 
305 year      = {2011},
306 note      = {\url{http://dx.doi.org/10.4208/cicp.220210.020710a}}
307 }
308
309
310@ARTICLE{Puppo2002,
311author     = { G. Puppo},
312 title     = { Numerical entropy production on shocks and smooth transitions},
313 journal   = {Journal of Scientific Computing}, 
314 volume    = {17},
315 number    = {1--4},
316 pages     = {263--271}, 
317 year      = {2002},
318 note      = {\url{http://dx.doi.org/10.1023/A:1015117118157}}
319 }
320
321
322
323@ARTICLE{BV1994,
324author     = { A. Bermudez and M. E. Vazquez},
325 title     = { Upwind methods for hyperbolic conservation laws with source terms},
326 journal   = { Computers \& Fluids}, 
327 volume    = {23},
328 number    = {8},
329 pages     = {1049--1071}, 
330 year      = {1994},
331 note      = {\url{http://dx.doi.org/10.1016/0045-7930(94)90004-3}}
332 }
333
334@ARTICLE{Har1977,
335author     = { A. Harten},
336 title     = { The artificial compression method for computation of shocks and contact discontinuities. {I}.: {S}ingle conservation laws},
337 journal   = {Communications on Pure and Applied Mathematics}, 
338 volume    = {30},
339 number    = {5},
340 pages     = {611--638}, 
341 year      = {1977},
342 note      = {\url{http://dx.doi.org/10.1002/cpa.3160300506}}
343 }
344
345
346@ARTICLE{KL2012,
347author     = { A. Kurganov and Y. Liu},
348 title     = { New Adaptive Artificial Viscosity Method for Hyperbolic Systems of Conservation Laws},
349 journal   = { Journal of Computational Physics}, 
350 year      = { 2012},
351 volume    = {231},
352 number    = {24},
353 pages     = {8114--8132}, 
354 note      = {\url{http://dx.doi.org/10.1016/j.jcp.2012.07.040}}
355 }
356
357
358@ARTICLE{CKLL2012,
359author     = { Y. Chen and A. Kurganov and M. Lei and Y. Liu},
360 title     = { An Adaptive Artificial Viscosity Method for the {S}aint-{V}enant System},
361 journal   = {Notes on Numerical Fluid Mechanics and Multidisciplinary Design}, 
362 volume    = {120},
363 year      = {2012},
364 pages     = {125--141},
365 note      = {\url{http://dx.doi.org/10.1007/978-3-642-33221-0_8}}
366 }
367
368
369@ARTICLE{CZ2010,
370author     = { L. Chen and C.-S. Zhang},
371 title     = { A coarsening algorithm on adaptive grids by newest vertex bisection and its applications},
372 journal   = {Journal of Computational Mathematics}, 
373 volume    = {28},
374 number    = {6},
375 pages     = {767--789}, 
376 year      = {2010},
377 note      = {\url{http://dx.doi.org/10.4208/jcm.1004-m3172}}
378 }
379
380
381
382
383@BOOK{Chen2008,
384 author    = {L. Chen},
385 title     = {$i${FEM}: An innovative finite element methods package in {MATLAB}},
386 publisher = {Technical report, University of California}, 
387 address   = {Irvine},
388 year      = {2008},
389 note      = {\url{http://math.uci.edu/~chenlong/Papers/iFEMpaper.pdf}}
390}
391
392@ARTICLE{Puppo2003,
393author     = { G. Puppo},
394 title     = { Numerical entropy production for central schemes},
395 journal   = {SIAM Journal on Scientific Computing}, 
396 volume    = {25},
397 number    = {4},
398 pages     = {1382--1415}, 
399 year      = {2003},
400 note      = {\url{http://dx.doi.org/10.1137/S1064827502386712}}
401 }
402
403@ARTICLE{Tadmor2003,
404author     = {E. Tadmor},
405 title     = {Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems},
406 journal   = {Acta Numerica}, 
407 volume    = {12},
408 pages     = {451--512}, 
409 year      = {2003},
410 note      = {\url{http://dx.doi.org/10.1017/S0962492902000156}}
411 }
412
413@ARTICLE{MR2012CG,
414 author    = {S. Mungkasi and S. G. Roberts},
415 title     = {Approximations of the {C}arrier--{G}reenspan periodic solution to the shallow water wave equations for flows on a sloping beach},
416 journal   = {International Journal for Numerical Methods in Fluids},
417 year      = {2012},
418 volume    = {69},
419 number    = {4},
420pages      = {763--780},
421note       = {\url{http://dx.doi.org/10.1002/fld.2607}}
422}
423
424@ARTICLE{MR2012PAAG,
425 author    = {S. Mungkasi and S. G. Roberts},
426 title     = {Analytical solutions involving shock waves for testing debris avalanche numerical models},
427 journal   = {Pure and Applied Geophysics},
428 year      = {2012},
429  volume    = {169},
430 number    = {10},
431pages      = {1847--1858},
432note      = {\url{http://dx.doi.org/10.1007/s00024-011-0449-1}}
433}
434
435@ARTICLE{MR2011IEEE,
436 author    = {S. Mungkasi and S. G. Roberts},
437 title     = { A finite volume method for shallow water flows on triangular computational grids},
438 journal   = { Proceedings of IEEE International Conference on Advanced Computer Science and Information System (ICACSIS) 2011},
439 pages      = {79--84},
440 note     = {\url{http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=6140781}} 
441}
442
443@ARTICLE{MR2012JIKI,
444 author    = {S. Mungkasi and S. G. Roberts},
445 title     = {{ANUGA} software for numerical simulations of shallow water flows},
446 journal   = {Journal of Computer Science and Information},
447 year      = {2012},
448 volume    = {5},
449 number    = {1},
450 note      = {\url{http://jiki.cs.ui.ac.id/index.php/jiki/article/view/180/100}},
451 pages      = {1--8}
452}
453@ARTICLE{MR2010,
454 author    = {S. Mungkasi and S. G. Roberts},
455 title     = {On the best quantity reconstructions for a well balanced finite volume method used to solve the shallow water wave equations with a wet/dry interface},
456 journal   = {ANZIAM Journal (E)},
457 year      = {2010},
458 volume    = {51},
459 pages     = {C48--C65},
460 note     ={\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2576/1289}} 
461}
462
463@ARTICLE{RW2011,
464 author    = {S. G. Roberts and P. Wilson},
465 title     = {A well balanced scheme for the shallow water wave equations in open channels with (discontinuous) varying width and bed},
466 journal   = {ANZIAM Journal (E)},
467 year      = {2011},
468 volume    = {52},
469 pages     = {C967--C987},
470 note     ={\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3948/1542}} 
471}
472
473@BOOK{George2006,
474 author    = {D. L. George},
475 title     = {PhD dissertation: Finite volume methods and adaptive refinement for tsunami propagation and inundation},
476 publisher = {University of Washington},
477 address   = {Seattle},
478 year      = {2006}
479}
480@BOOK{Stoker1957,
481 author    = {J. J. Stoker},
482 title     = {Water Waves: The Mathematical Theory with Application},
483 publisher = {Interscience Publishers},
484 address   = {New York},
485 year      = {1957},
486 note      = {\url{http://onlinelibrary.wiley.com/book/10.1002/9781118033159}}
487}
488@BOOK{Hirsch1988v1,
489 author    = {C. Hirsch},
490 title     = {Numerical Computation of Internal and External Flows. Vol.~1: Fundamentals of Numerical Discretization},
491 publisher = {John Wiley \& Sons},
492 address   = {New York},
493 year      = {1988}
494}
495@BOOK{Hirsch1988v2,
496 author    = {C. Hirsch},
497 title     = {Numerical Computation of Internal and External Flows. Vol.~2: Computational Methods for Inviscid and Viscous Flows},
498 publisher = {John Wiley \& Sons},
499 address   = {New York},
500 year      = {1988}
501}
502@BOOK{LL1987,
503 author    = {L. D. Landau and E. M. Lifshitz},
504 title     = {Fluid Mechanics},
505 publisher = {Pergamon Press},
506 address   = {Oxford},
507 year      = {1987},
508 edition   = {2nd}
509}
510@BOOK{PW2002,
511 author    = {M. C. Potter and D. C. Wiggert},
512 title     = {Mechanics of Fluids},
513 publisher = {Brooks/Cole},
514 address   = {Pacific Grove},
515 year      = {2002},
516 edition         = {3rd}
517}
518@BOOK{Strauss1992,
519 author    = {W. A. Strauss},
520 title     = {Partial Differential Equations: An Introduction},
521 publisher = {John Wiley \& Sons},
522 address   = {New York},
523 year      = {1992}
524}
525@BOOK{LeVeque2002,
526 author    = {R. J. LeVeque},
527 title     = {Finite-Volume Methods for Hyperbolic Problems},
528 publisher = {Cambridge University Press},
529 address   = {Cambridge},
530 year      = {2002},
531 note      = {\url{http://dx.doi.org/10.1017/CBO9780511791253}}
532}
533@BOOK{Bouchut2004,
534 author    = {F. Bouchut},
535 title     = {Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws},
536 publisher = {Birkh\"auser Verlag},
537 address   = {Basel},
538 year      = {2004},
539 note      = {\url{http://www.springer.com/birkhauser/mathematics/book/978-3-7643-6665-0}}
540}
541@BOOK{Whitham1999,
542 author    = {G. B. Whitham},
543 title     = {Linear and Nonlinear Waves},
544 publisher = {John Wiley \& Sons},
545 address   = {New York},
546 year      = {1999}
547}
548@BOOK{GDN1998,
549 author    = {M. Griebel and T. Dornseifer and T. Neunhoeffer},
550 title     = {Numerical Simulation in Fluid Dynamics: A Practical Introduction},
551 publisher = {SIAM},
552 address   = {Philadelphia},
553 year      = {1998}
554}
555@BOOK{LPZ2001,
556 author    = {H. Lomax and T. H. Pulliam and D. W. Zingg},
557 title     = {Fundamentals of Computational Fluid Dynamics},
558 publisher = {Springer},
559 address   = {Berlin},
560 year      = {2001}
561}
562@BOOK{Twizell1984,
563 author    = {E. H. Twizell},
564 title     = {Computational Methods for Partial Differential Equations},
565 publisher = {Ellis Horwood},
566 address   = {Chichester},
567 year      = {1984}
568}
569@BOOK{Shen1993,
570 author    = {S. S. Shen},
571 title     = {A Course on Nonlinear Waves},
572 publisher = {Kluwer Academic Publishers},
573 address   = {Dordrecht},
574 year      = {1993}
575}
576@BOOK{Liggett1994,
577 author    = {J. A. Liggett},
578 title     = {Fluid Mechanics},
579 publisher = {McGraw Hill},
580 address   = {New York},
581 year      = {1994}
582}
583@BOOK{OO2004,
584 author    = {H. Ockendon and J. R. Ockendon},
585 title     = {Waves and Compressible Flow},
586 publisher = {Springer-Verlag},
587 address   = {New York},
588 year      = {2004}
589}
590@BOOK{OF2003,
591 author    = {S. Osher and R. Fedkiw},
592 title     = {Level Set Methods and Dynamic Implicit Surfaces},
593 publisher = {Springer-Verlag},
594 address   = {New York},
595 year      = {2003}
596}
597@BOOK{Kambe2004,
598 author    = {T. Kambe},
599 title     = {Geometrical Theory of Dynamical Systems and Fluid Flows},
600 publisher = {World Scientific Publishing},
601 address   = {Singapore},
602 year      = {2004}
603}
604@BOOK{Lions1996,
605 author    = {P. L. Lions},
606 title     = {Mathematical Topics in Fluid Mechanics},
607 publisher = {Oxford University Press},
608 address   = {New York},
609 year      = {1996}
610}
611@BOOK{Tan1992,
612 author    = {W. Tan},
613 title     = {Shallow Water Hydrodynamics: Mathematical Theory and Numerical Solution for a Two-Dimensional System of Shallow Water Equations},
614 publisher = {Elsevier Science Publishers},
615 address   = {Amsterdam},
616 year      = {1992},
617 note      = {\url{http://www.sciencedirect.com/science/bookseries/04229894/55}}
618}
619@BOOK{LeVeque1992,
620 author    = {R. J. LeVeque},
621 title     = {Numerical Methods for Conservation Laws},
622 publisher = {Birkh\"auser Verlag},
623 year      = {1992},
624 edition   = {2nd},
625 address   = {Basel},
626 note      = {\url{http://www.springer.com/birkhauser/mathematics/book/978-3-7643-2723-1}}
627}
628@BOOK{Emanuel2001,
629 author    = {G. Emanuel},
630 title     = {Analytical Fluid Dynamics},
631 publisher = {CRC Press LLC},
632 year      = {2001},
633 edition   = {2nd},
634 address   = {Boca Raton}
635}
636@BOOK{Blazek2001,
637 author    = {J. Blazek},
638 title     = {Computational Fluid Dynamics: Principles and Applications},
639 publisher = {Elsevier Science},
640 year      = {2001},
641 edition   = {1st},
642 address   = {Oxford}
643}
644@BOOK{Date2005,
645 author    = {A. W. Date},
646 title     = {Introduction to Computational Fluid Dynamics},
647 publisher = {Cambridge University Press},
648 year      = {2005},
649 edition   = {1st},
650 address   = {Cambridge}
651}
652@ARTICLE{BVG2002,
653 author    = {P. Brufau and M. E. V\'azquez-Cend\'on and P. Garc\'ia-Navarro},
654 title     = {A numerical model for the flooding and drying of irregular domains},
655 journal   = {International Journal for Numerical Methods in Fluids},
656 volume    = {39},
657 number    = {3},
658 year      = {2002},
659 pages     = {247--275},
660 note      = {\url{http://dx.doi.org/10.1002/fld.285}}
661}
662@ARTICLE{Dressler1958,
663 author    = {R. F. Dressler},
664 title     = {Unsteady non-linear waves in sloping channels},
665 journal   = {Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences},
666 volume    = {247},
667 number    = {1249},
668 year      = {1958},
669 pages     = {186--198},
670 note      = {\url{http://dx.doi.org/10.1098/rspa.1958.0177}}
671}
672@ARTICLE{FF2006,
673 author    = {R. Fernandez-Feria},
674 title     = {Dam-break flow for arbitrary slopes of the bottom},
675 journal   = {Journal of Engineering Mathematics},
676 volume    = {54},
677 number    = {4},
678 year      = {2006},
679 pages     = {319--331}
680}
681@ARTICLE{GPC2007,
682 author    = {J. M. Gallardo and C. Par\'es and M. Castro},
683 title     = {On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas},
684 journal   = {Journal of Computational Physics},
685 volume    = {227},
686 number    = {1},
687 year      = {2007},
688 pages     = {574--601},
689 note      = {\url{http://dx.doi.org/10.1016/j.jcp.2007.08.007}}
690}
691@ARTICLE{MHR2000,
692 author    = {A. Mangeney and P. Heinrich and R. Roche},
693 title     = {Analytical solution for testing debris avalanche numerical models},
694 journal   = {Pure and Applied Geophysics},
695 volume    = {157},
696 number    = {6--8},
697 year      = {2000},
698 pages     = {1081--1096},
699 note      = {\url{http://dx.doi.org/10.1007/s000240050018}}
700}
701
702
703@ARTICLE{NVC1997,
704 author    = {M. Naaim and S. Vial and R. Couture},
705 title     = {{S}aint {V}enant approach for rock avalanches modelling},
706 journal   = {Proceedings of the Saint Venant Symposium: Multiple scale analyses and coupled physical systems,
707              \emph{Presses de l'\'Ecole Nationale des Ponts et Chauss\'ees, Paris}}, 
708 year      = {1997},
709 pages     = {61--69}
710}
711@ARTICLE{DKL2004,
712 author    = {J. C. Dietrich and R. L. Kolar and R. A. Luettich},
713 title     = {Assessment of {ADCIRC}'s wetting and drying algorithm},
714 journal   = {In C.~T. Miller et al. (editors), Proceedings of the 15th International Conference on Computational Methods in Water Resources (CMWR XV) 13--17 June 2004},
715 volume    = {2},
716 address   = {Chapel Hill}, 
717 year      = {2004},
718 pages     = {1767--1778},
719 note      = {\url{http://www.caseydietrich.com/Publications/CMWR2004.pdf}}
720}
721@ARTICLE{SL1988,
722 author    = {G. L. D. Sid\'en and D. R. Lynch},
723 title     = {Wave equation hydrodynamics on deforming elements},
724 journal   = {International Journal for Numerical Methods in Fluids},
725 volume    = {8},
726 number    = {9},
727 year      = {1988},
728 pages     = {1071--1093},
729 note      = {\url{http://dx.doi.org/10.1002/fld.1650080908}}
730}
731@ARTICLE{Johns1982,
732 author    = {B. Johns},
733 title     = {Numerical integration of the shallow water equations over a sloping shelf},
734 journal   = {International Journal for Numerical Methods in Fluids},
735 volume    = {2},
736 number    = {3},
737 year      = {1982},
738 pages     = {253--261},
739 note      = {\url{http://dx.doi.org/10.1002/fld.1650020304}}
740}
741@ARTICLE{Harten1983,
742 author    = {A. Harten},
743 title     = {High resolution schemes for hyperbolic conservation laws},
744 journal   = {Journal of Computational Physics, \text{49(3):357--393, 1983,
745reprinted 135(2):260--278, 1997}.}
746}
747@ARTICLE{KKP2002,
748 author    = {S. Karni and A. Kurganov and G. Petrova},
749 title     = {A smoothness indicator for adaptive algorithms for hyperbolic systems},
750 journal   = {Journal of Computational Physics},
751 volume    = {178},
752 number    = {2},
753 year      = {2002},
754 pages     = {323--341},
755 note      = {\url{http://dx.doi.org/10.1006/jcph.2002.7024}}
756}
757@ARTICLE{KK2005,
758 author    = {S. Karni and A. Kurganov},
759 title     = {Local error analysis for approximate solutions of hyperbolic conservation laws},
760 journal   = {Advances in Computational Mathematics},
761 volume    = {22},
762 number    = {1},
763 year      = {2005},
764 pages     = {79--99},
765 note      = {\url{http://dx.doi.org/10.1007/s10444-005-7099-8}}
766}
767
768
769
770@ARTICLE{WPT1992,
771 author    = {G. Watson and D. H. Peregrine and E. F. Toro},
772 title     = {Numerical solution of the shallow-water equations on a beach using the weighted average flux method},
773 journal   = {Computational Fluid Dynamics~'92, Proceedings of the First European Computational Fluid Dynamics Conference, Brussels, 7--11 September 1992},
774 volume    = {1},
775 year      = {1992},
776 pages     = {495--502}
777}
778@ARTICLE{Chanson2006,
779 author    = {H. Chanson},
780 title     = {Analytical solutions of laminar and turbulent dam break wave},
781 journal   = {River Flow},
782 year      = {2006},
783 pages     = {465--474}
784}
785@ARTICLE{Chanson2005a,
786 author    = {H. Chanson},
787 title     = {Applications of the {S}aint-{V}enant Equations and Method of Characteristics to the Dam Break Wave Problem},
788 journal   = {Report No. CH55/05, Dept. of Civil Engineering, The University of Queensland, Brisbane, Australia},
789 year      = {2005}
790}
791@ARTICLE{CVS2004,
792 author    = {N. Crnjaric-Zic and S. Vukovic and L. Sopta},
793 title     = {Balanced finite volume {WENO} and central {WENO} schemes for the shallow water and the open-channel flow equations},
794 journal   = {Journal of Computational Physics},
795 year      = {2004},
796 volume    = {200},
797 pages     = {512--548}
798}
799@ARTICLE{WC2008,
800 author    = {Y. Wu and K. F. Cheung},
801 title     = {Explicit solution to the exact {R}iemann problem and application in nonlinear shallow-water equations},
802 journal   = {International Journal for Numerical Methods in Fluids},
803 year      = {2008},
804 volume    = {57},
805 pages     = {1649--1668}
806}
807@ARTICLE{ZR1999,
808 author    = {C. Zoppou and S. Roberts},
809 title     = {Catastrophic Collapse of Water Supply Reservoirs in Urban Areas},
810 journal   = {Journal of Hydraulic Engineering},
811 year      = {1999},
812 volume    = {125},
813 number    = {7},
814 pages     = {686--695}
815}
816@BOOK{ZR1998,
817 author    = {C. Zoppou and S. Roberts},
818 title     = {Research Report: Numerical Solution of the Two-Dimensional Unsteady Dam Break},
819 publisher = {The Australian National University},
820 address   = {Canberra},
821 year      = {1998}
822}
823@ARTICLE{RZ2000,
824 author    = {S. Roberts and C. Zoppou},
825 title     = {Robust and effcient solution of the 2{D} shallow water equation with domains containing dry beds},
826 journal   = {ANZIAM Journal (E)},
827 year      = {2000},
828 volume    = {42},
829 pages     = {C1260--C1282},
830 note      = {\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/645/513}}
831}
832@ARTICLE{ZR2003,
833 author    = {S. Geiger and S. Roberts and S. K. Matth\"ai and C. Zoppou},
834 title     = {Combining finite volume and finite element methods to simulate fluid flow in geologic media},
835 journal   = {ANZIAM Journal (E)},
836 year      = {2003},
837 volume    = {44},
838 pages     = {C180--C201},
839 note      = {\url{http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/678/557}}
840}
841@ARTICLE{ZR2007,
842 author    = {S. G. Roberts and L. Stals and O. M. Nielsen},
843 title     = {Parallelisation of a finite volume method for hydrodynamic inundation modelling},
844 journal   = {ANZIAM Journal (E)},
845 year      = {2007},
846 volume    = {48},
847 pages     = {C558--C572}
848}
849@ARTICLE{BD2009,
850 author    = {R. Briganti and N. Dodd},
851 title     = {Shoreline motion in nonlinear shallow water coastal models},
852 journal   = {Coastal Engineering},
853 year      = {2009},
854 volume    = {56},
855 number    = {5--6},
856 pages     = {495--505},
857 note      = {\url{http://dx.doi.org/10.1016/j.coastaleng.2008.10.008}}
858}
859@ARTICLE{CG1958,
860 author    = {G. F. Carrier and H. P. Greenspan },
861 title     = {Water waves of finite amplitude on a sloping beach},
862 journal   = {Journal of Fluid Mechanics},
863 year      = {1958},
864 volume    = {4},
865 number    = {1},
866 pages     = {97--109},
867 note      = {\url{http://dx.doi.org/10.1017/S0022112058000331}}
868}
869@ARTICLE{CGY2003,
870 author    = {G. F. Carrier and T. T. Wu and H. Yeh },
871 title     = {Tsunami run-up and draw-down on a plane beach},
872 journal   = {Journal of Fluid Mechanics},
873 year      = {2003},
874 volume    = {475},
875 pages     = {79--99},
876 note      = {\url{http://dx.doi.org/10.1017/S0022112002002653}} 
877}
878@ARTICLE{BB2001,
879 author    = {G. Bellotti and M. Brocchini},
880 title     = {On the shoreline boundary conditions for {B}oussinesq-type models},
881 journal   = {International Journal for Numerical Methods in Fluids},
882 year      = {2001},
883 volume    = {37},
884 number    = {4},
885 pages     = {479--500},
886 note      = {\url{http://dx.doi.org/10.1002/fld.194}}
887}
888@ARTICLE{BSPB2002,
889 author    = {M. Brocchini and I. A. Svendsen and R. S. Prasad and G. Bellotti},
890 title     = {A comparison of two different types of shoreline boundary conditions},
891 journal   = {Computer Methods in Applied Mechanics and Engineering},
892 year      = {2002},
893 volume    = {191},
894 number    = {39--40},
895 pages     = {4475--4496},
896 note      = {\url{http://dx.doi.org/10.1016/S0045-7825(02)00392-4}}
897}
898@ARTICLE{KR1999,
899 author    = {R. A. Klausen and N. H. Risebro},
900 title     = {Stability of Conservation Laws with Discontinuous Coefficients},
901 journal   = {Journal of Differential Equations},
902 year      = {1999},
903 volume    = {157},
904 pages     = {41--60}
905}
906@ARTICLE{VTT2006,
907 author    = {G. Vignoli and E.F. Toro and V. Titarev},
908 title     = {{ADER} Schemes for the Shallow Water Equations in Channel with Irregular Bottom Elevation},
909 journal   = {European Conference on Computational Fluid Dynamics},
910 year      = {2006},
911 volume    = {TU Delft, The Netherlands}
912}
913@ARTICLE{SHS2002,
914 author    = {J. Shi and C. Hu and C.-W. Shu},
915 title     = {A Technique of Treating Negative Weights in {WENO} Schemes},
916 journal   = {Journal of Computational Physics},
917 year      = {2002},
918 volume    = {175},
919 pages     = {108--127}
920}
921@ARTICLE{GPC2007,
922 author    = {J. M. Gallardo and C. Pares and M. Castro},
923 title     = {On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas},
924 journal   = {Journal of Computational Physics},
925 year      = {2007},
926 volume    = {227},
927 pages     = {574--601},
928 note      = {\url{http://dx.doi.org/10.1016/j.jcp.2007.08.007}}
929}
930@ARTICLE{LeVeque1998,
931 author    = {R. J. LeVeque},
932 title     = {Balancing Source Terms and Flux Gradients in High-Resolution {G}odunov Methods: The Quasi-Steady Wave-Propagation Algorithm},
933 journal   = {Journal of Computational Physics},
934 year      = {1998},
935 volume    = {146},
936 pages     = {346--365}
937}
938@ARTICLE{XS2006,
939 author    = {Y. Xing and C.-W. Shu},
940 title     = {High order well-balanced finite volume {WENO} schemes and discontinuous {G}alerkin methods for a class of hyperbolic systems with source terms},
941 journal   = {Journal of Computational Physics},
942 year      = {2006},
943 volume    = {214},
944 pages     = {567--598}
945}
946@ARTICLE{VS2002,
947 author    = {S. Vukovic and L. Sopta},
948 title     = {{ENO} and {WENO} Schemes with the Exact Conservation Property for One-Dimensional Shallow Water Equations},
949 journal   = {Journal of Computational Physics},
950 year      = {2002},
951 volume    = {179},
952 pages     = {593--621}
953}
954@ARTICLE{AIRD2008,
955 author    = {C. Ancey and R. M. Iverson and M. Rentschler and R. P. Denlinger},
956 title     = {An exact solution for ideal dam-break floods on steep slopes},
957 journal   = {Water Resources Research},
958 year      = {2008},
959 volume    = {44},
960 number    = {W01430},
961 pages     = {1--10},
962 note      = {\url{http://dx.doi.org/10.1029/2007WR006353}}
963}
964@ARTICLE{BKLL2004,
965 author    = {N. Botta and R. Klein and S. Langenberg and S. Lutzenkirchen},
966 title     = {Well balanced finite volume methods for nearly hydrostatic flows},
967 journal   = {Journal of Computational Physics},
968 year      = {2004},
969 volume    = {196},
970 pages     = {539--565}
971}
972@ARTICLE{CVB2006,
973 author    = {V. Caleffi and A. Valiani and A. Bernini},
974 title     = {Fourth-order balanced source term treatment in central {WENO} schemes for shallow water equations},
975 journal   = {Journal of Computational Physics},
976 year      = {2006},
977 volume    = {218},
978 pages     = {228--245}
979}
980@ARTICLE{CT2008,
981 author    = {C.E. Castro and E.F. Toro},
982 title     = {Solvers for the high-order {R}iemann problem for hyperbolic balance laws},
983 journal   = {Journal of Computational Physics},
984 year      = {2008},
985 volume    = {227},
986 pages     = {2481--2513}
987}
988@ARTICLE{George2008,
989 author    = {D. L. George},
990 title     = {Augmented {R}iemann solvers for the shallow water equations over variable topography with steady states and inundation},
991 journal   = {Journal of Computational Physics},
992 year      = {2008},
993 volume    = {227},
994 pages     = {3089--3113}
995}
996@ARTICLE{GL1996,
997 author    = {J. M. Greenberg and A. Y. Leroux},
998 title     = {A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations},
999 journal   = {SIAM Jounal on Numerical Analysis},
1000 year      = {1996},
1001 volume    = {33},
1002 number    = {1},
1003 pages     = {1--16}
1004}
1005@ARTICLE{Klingenberg2001,
1006 author    = {C. Klingenberg},
1007 title     = {Stability of a Resonant System of Conservation Laws Modeling Polymer Flow with Gravitation},
1008 journal   = {Journal of Differential Equations},
1009 year      = {2001},
1010 volume    = {170},
1011 pages     = {344--380}
1012}
1013@ARTICLE{LWL2007,
1014 author    = {C. B. Liao and M. S. Wu and S. J. Liang},
1015 title     = {Numerical simulation of a dam break for an actual river terrain environment},
1016 journal   = {Hydrological Process},
1017 year      = {2007},
1018 volume    = {21},
1019 pages     = {447--460}
1020}
1021@ARTICLE{PW2001,
1022 author    = {D. H. Peregrine and S. M. Williams},
1023 title     = {Swash overtopping a truncated plane beach},
1024 journal   = {Journal of Fluid Mechanics},
1025 year      = {2001},
1026 volume    = {440},
1027 pages     = {391--399}
1028}
1029@ARTICLE{Xu2002,
1030 author    = {K. Xu},
1031 title     = {A Well-Balanced Gas-Kinetic Scheme for the Shallow-Water Equations with Source Terms},
1032 journal   = {Journal of Computational Physics},
1033 year      = {2002},
1034 volume    = {178},
1035 pages     = {533--562}
1036}
1037@ARTICLE{SO1988,
1038 author    = {S.-W. Shu and S. Osher},
1039 title     = {Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes},
1040 journal   = {Journal of Computational Physics},
1041 year      = {1988},
1042 volume    = {77},
1043 pages     = {439--471}
1044}
1045@ARTICLE{SR2002,
1046 author    = {R. J. Spiteri and S. J. Ruuth},
1047 title     = {A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods},
1048 journal   = {SIAM Journal on Numerical Analysis},
1049 year      = {2002},
1050 volume    = {40},
1051 pages     = {469--491}
1052}
1053@ARTICLE{Bouchut2005,
1054 author    = {F. Bouchut},
1055 title     = {An Introduction to Finite Volume Methods for Hyperbolic Conservation Laws},
1056 journal   = {ESAIM: Proceedings},
1057 year      = {2005},
1058 volume    = {1},
1059 pages     = {1--17}
1060}
1061@ARTICLE{BW2004,
1062 author    = {F. Bouchut and M. Westdickenberg},
1063 title     = {Gravity Driven Shallow Water Models for Arbitrary Topography},
1064 journal   = {Communications in Mathematical Sciences},
1065 year      = {2004},
1066 volume    = {2},
1067 number    = {3},
1068 pages     = {359--389},
1069 note      = {\url{http://projecteuclid.org/euclid.cms/1109868726}}
1070}
1071@ARTICLE{Curro1989,
1072 author    = {C. Curro},
1073 title     = {Some New Exact Solutions to the Nonlinear Shallow-Water Wave Equations via Group Analysis},
1074 journal   = {Meccanica},
1075 year      = {1989},
1076 volume    = {24},
1077 pages     = {26--35}
1078}
1079@ARTICLE{DS2005,
1080 author    = {P. J. Dellar and R. Salmon},
1081 title     = {Shallow water equations with a complete {C}oriolis force and topography},
1082 journal   = {Physics of Fluids},
1083 year      = {2005},
1084 volume    = {17},
1085 number    = {10},
1086 pages     = {1--19}
1087}
1088@ARTICLE{Easwaran2004,
1089 author    = {C. V. Easwaran},
1090 title     = {Asymtotic Theory for Weakly Non-Linear Wave Equations in Semi-Infinite Domains},
1091 journal   = {Electronic Journal of Differential Equations},
1092 year      = {2004},
1093 volume    = {2004},
1094 number    = {7},
1095 pages     = {1--8}
1096}
1097@ARTICLE{GG2003,
1098 author    = {S. Gottlieb and L.-A. J. Gottlieb},
1099 title     = {Strong Stability Preserving Properties of {R}unge--{K}utta Time Discretization Methods for Linear Constant Coefficient Operators},
1100 journal   = {Journal of Scientific Computing},
1101 number    = {1},
1102 year      = {2003},
1103 volume    = {18},
1104 pages     = {83--109}
1105}
1106
1107@ARTICLE{LW1960,
1108 author    = {P. Lax and B. Wendroff},
1109 title     = {Systems of Conservation Laws},
1110 journal   = {Communications on Pure and Applied Mathematics},
1111 year      = {1960},
1112 volume    = {XIII},
1113 pages     = {217--237}
1114}
1115@ARTICLE{KA1998,
1116 author    = {E. V. Krishnan and M. Al-Lawatia},
1117 title     = {On Weakly Nonlinear Shallow Water Wave Equations},
1118 journal   = {Differential Equations and Control Processes, Electronic Journal},
1119 year      = {1998},
1120 number    = {3},
1121 pages     = {18--32}
1122}
1123@ARTICLE{KL2000,
1124 author    = {A. Kurganov and D. Levy},
1125 title     = {A Third-Order Semi-Discrete Central Scheme for Conservation Laws and Convection-Diffusion Equations},
1126 journal   = {SIAM Journal on Scientific Computing},
1127 year      = {2000},
1128 volume    = {22},
1129 pages     = {1461--1488}
1130}
1131@ARTICLE{Naidoo2007,
1132 author    = {R. Naidoo},
1133 title     = {Modelling Shocks and Solitons with a Modified Third Order High Resolution Semi-Discrete Scheme for Soliton and Shock Wave Simulations},
1134 journal   = {Applied Mathematical Sciences},
1135 year      = {2007},
1136 number    = {38},
1137 volume    = {1},
1138 pages     = {1891--1901}
1139}
1140@ARTICLE{VR1950,
1141 author    = {J. VonNeumann and R. D. Richtmyer},
1142 title     = {A Method for the Numerical Calculation of Hydrodynamic Shocks},
1143 journal   = {Journal of Applied Physics},
1144 year      = {1950},
1145 volume    = {21},
1146 pages     = {232--237}
1147}
1148@BOOK{OT2002,
1149 author    = {W. L. Oberkampf and T. G. Trucano},
1150 title     = {Verification and Validation in Computational Fluid Dynamics},
1151 publisher = {Sandia National Laboratories},
1152 year      = {2002},
1153 address   = {Albuquerque}
1154}
1155@ARTICLE{Shinbrot1970,
1156 author    = {M. Shinbrot},
1157 title     = {The Shallow Water Equations},
1158 journal   = {Journal of Engineering Mathematics},
1159 year      = {1970},
1160 volume    = {4},
1161 pages     = {293--304},
1162 number    = {4}
1163}
1164@ARTICLE{KNP2001,
1165 author    = {A. Kurganov and S. Noelle and G. Petrova},
1166 title     = {Semidiscrete central-upwind schemes for hyperbolic conservation laws and {H}amilton-{J}acobi equations},
1167 journal   = {SIAM Journal on Scientific Computing},
1168 year      = {2001},
1169 volume    = {23},
1170 number    = {3},
1171 pages     = {707--740},
1172 note      = {\url{http://dx.doi.org/10.1137/S1064827500373413}}
1173}
1174@ARTICLE{Shu2003,
1175 author    = {C. Shu},
1176 title     = {High-order finite difference and finite volume {WENO} schemes and discontinuous {G}alerkin methods for {CFD}},
1177 journal   = {International Journal of Computational Fluid Dynamics},
1178 year      = {2003},
1179 volume    = {17},
1180 number    = {2},
1181 pages     = {107--118}
1182}
1183@ARTICLE{KL2002,
1184 author    = {A. Kurganov and D. Levy},
1185 title     = {Central-upwind schemes for the {S}aint-{V}enant system},
1186 journal   = {ESAIM: M2AN},
1187 year      = {2002},
1188 volume    = {36},
1189 number    = {3},
1190 pages     = {397--425}
1191}
1192@ARTICLE{Strang1968,
1193 author    = {G. Strang},
1194 title     = {On the construction and comparison of difference schemes},
1195 journal   = {SIAM Journal on Numerical Analysis},
1196 year      = {1968},
1197 volume    = {5},
1198 pages     = {507--517}
1199}
1200@ARTICLE{NPPN2006,
1201 author    = {S. Noelle and N. Pankratz and G. Puppo and J. R. Natvig},
1202 title     = {Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows},
1203 journal   = {Journal of Computational Physics},
1204 year      = {2006},
1205 volume    = {213},
1206 number    = {2},
1207 pages     = {474--499},
1208 note      = {\url{http://dx.doi.org/10.1016/j.jcp.2005.08.019}}
1209}
1210@ARTICLE{Bouchut2007,
1211 author    = {F. Bouchut},
1212 title     = {Efficient numerical finite volume schemes for shallow water models},
1213 journal   = {In V. Zeitlin (editor), Nonlinear dynamics of rotating shallow water: methods and advances. 
1214 Edited series on advances in nonlinear science and complexity},
1215 year      = {2007},
1216 volume    = {2},
1217 pages     = {189--256},
1218 publisher = {Elsevier},
1219 note      = {\url{http://dx.doi.org/10.1016/S1574-6909(06)02004-1}}
1220}
1221@ARTICLE{CK2006,
1222 author    = {L. A. Constantin and A. Kurganov},
1223 title     = {Adaptive central-upwind schemes for hyperbolic systems of conservation laws},
1224 journal   = {In F. Asakura et al. (editors), Hyperbolic problems: Theory, numerics, and applications. 
1225 Proceedings of the 10th international conference, Osaka, Japan, 13--17 September 2004, Yokohama Publishers, Yokohama, 2006},
1226 volume    = {1},
1227 pages     = {95--103},
1228 note      = {\url{http://129.81.170.14/~kurganov/Constantin-Kurganov.pdf}}
1229}
1230@ARTICLE{NXS2007,
1231 author    = {S. Noelle and Y. Xing and C. W. Shu},
1232 title     = {High-order well-balanced finite volume {WENO} schemes for shallow water equation with moving water},
1233 journal   = {Journal of Computational Physics},
1234 year      = {2007},
1235 volume    = {226},
1236 pages     = {29--58}
1237}
1238@ARTICLE{BLMR2002,
1239 author    = {D. S. Bale and R. J. LeVeque and S. Mitran and J. A. Rossmanith},
1240 title     = {A wave propagation method for conservation laws and balance laws with spatially varying flux functions},
1241 journal   = {SIAM Journal on Scientific Computing},
1242 year      = {2002},
1243 volume    = {24},
1244 number    = {3},
1245 pages     = {955--978}
1246}
1247@ARTICLE{ABBKP2004,
1248 author    = {E. Audusse and F. Bouchut and M. O. Bristeau and R. Klein and B. Perthame},
1249 title     = {A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows},
1250 journal   = {SIAM Journal on Scientific Computing},
1251 year      = {2004},
1252 volume    = {25},
1253 number    = {6},
1254 pages     = {2050--2065},
1255 note      = {\url{http://dx.doi.org/10.1137/S1064827503431090}}
1256}
1257@ARTICLE{Liu1987,
1258 author    = {T. P. Liu},
1259 title     = {Nonlinear resonance for quasilinear hyperbolic equation},
1260 journal   = {J. Math. Phys},
1261 year      = {1987},
1262 volume    = {28},
1263 pages     = {2593--2602}
1264}
1265@ARTICLE{IT1995,
1266 author    = {E. Isaacson and B. Temple},
1267 title     = {Convergence of the 2x2 {G}odunov method for a general resonant nonlinear balance law},
1268 journal   = {SIAM Journal on Applied Mathematics},
1269 year      = {1995},
1270 volume    = {35},
1271 pages     = {631--645}
1272}
1273@ARTICLE{Ritter1892,
1274 author    = {A. Ritter},
1275 title     = {Die fortpflanzung der wasserwellen},
1276 journal   = {Zeitschrift des Vereines Deutscher Ingenieure},
1277 year      = {1892},
1278 volume    = {36},
1279 number    = {33},
1280 pages     = {947--954}
1281}
1282@BOOK{KR,
1283 author    = {B. W. Kernighan and D. M. Ritchie},
1284 title     = {The {C} Programming Language},
1285 publisher = {Prentice Hall},
1286 year      = {1988},
1287 edition   = {2nd},
1288 address   = {Englewood Cliffs}
1289}
1290@BOOK{HKH,
1291 author    = {J. R. Hanly and E. B. Koffman and J. C. Horvath},
1292 title     = {C: Program Design for Engineers},
1293 publisher = {Addison-Wesley},
1294 year      = {1995},
1295 address   = {Reading}
1296}
1297@BOOK{Pil,
1298 author    = {M. Pilgrim},
1299 title     = {Dive Into Python},
1300 publisher = {Free Software Foundation},
1301 year      = {2004},
1302 address   = {http://diveintopython.org/}
1303}
1304@BOOK{L,
1305 author    = {H. P. Langtangen},
1306 title     = {Python Scripting for Computational Science},
1307 publisher = {Springer},
1308 year      = {2006},
1309 edition   = {2nd},
1310 address   = {Berlin}
1311}
1312@BOOK{RD,
1313 author    = {G. van Rossum and F. L. Drake Jr},
1314 title     = {Python Tutorial: Release 2.5},
1315 publisher = {Python Software Foundation},
1316 year      = {2006},
1317 address   = {http://www.python.org/}
1318}
1319@BOOK{R,
1320 author    = {S. Roberts and O. Nielsen and D. Gray and J. Sexton and N. Bartzis},
1321 title     = {Anuga v1.0 User Manual: Release 1.0beta\_4818},
1322 publisher = {Geoscience Australia},
1323 year      = {2007},
1324 address   = {http://anuga.anu.edu.au}
1325}
1326@BOOK{King,
1327 author    = {K. N. King},
1328 title     = {C Programming: A Modern Approach},
1329 publisher = {W. W. Norton and Company},
1330 year      = {2008},
1331 edition   = {2nd},
1332 address   = {New York}
1333}
1334@ARTICLE{Thacker1981,
1335 author    = {W. C. Thacker},
1336 title     = {Some exact solutions to the nonlinear shallow water equations},
1337 journal   = {Journal of Fluid Mechanics},
1338 year      = {1981},
1339 volume    = {107},
1340 pages     = {499--508},
1341 note      ={\url{http://dx.doi.org/10.1017/S0022112081001882}}
1342}
1343
1344@ARTICLE{YC2001,
1345 author    = {S. B. Yoon and J. H. Cho},
1346 title     = {Numerical simulation of coastal inundation over discontinuous topography},
1347 journal   = {Water Engineering Research},
1348 year      = {2001},
1349 volume    = {2},
1350 number    = {2},
1351 pages     = {75--87}
1352}
1353
1354@ARTICLE{JBNR2007,
1355 author    = {J. D. Jakeman and N. Bartzis  and O. M. Nielsen and S. Roberts},
1356 title     = {Inundation modelling of the {D}ecember 2004 {I}ndian ocean tsunami},
1357 journal   = {Proceedings of MODSIM07},
1358 year      = {2007},
1359 pages     = {1667--1673},
1360 note      ={\url{http://www.mssanz.org.au/MODSIM07/papers/26_s32/Inundation_s32_Jakeman_.pdf}} 
1361}
1362
1363@ARTICLE{RMJ2008,
1364 author    = {S. G. Roberts and O. M. Nielsen and J. Jakeman},
1365 title     = {Simulation of tsunami and flash floods},
1366 journal   = {Modeling Simulation and Optimization of Complex Processes: Proceedings of the International Conference on High Performance Scientific Computing 6--10 March 2006, Hanoi, Vietnam},
1367 year      = {2008},
1368 pages     = {489--498},
1369 note      ={\url{http://dx.doi.org/10.1007/978-3-540-79409-7_35}}
1370}
1371
1372
1373@ARTICLE{JNPMBH2010,
1374 author    = {J. D. Jakeman and O. M. Nielsen and K. V. Putten and R. Mleczko and D. Burbidge and N. Horspool},
1375 title     = {Towards spatially distributed quantitative assessment of tsunami inundation models},
1376 journal   = {Ocean Dynamics},
1377 year      = {2010},
1378 volume    = {60},
1379 number    = {5},
1380 pages     = {1115--1138},
1381 note      ={\url{http://dx.doi.org/10.1007/s10236-010-0312-4 }} 
1382}
1383
1384@BOOK{Guinot2008,
1385 author    = {V. Guinot},
1386 title     = {Wave Propagation in Fluids: Models and Numerical Techniques},
1387 publisher = {{ISTE} (and John Wiley \& Sons)},
1388 address   = {London (and Hoboken)},
1389 year      = {2008},
1390 note      = {\url{http://www.iste.co.uk/index.php?f=a&ACTION=View&id=368}}
1391}
1392
1393
1394@BOOK{ZRbook,
1395 author    = {C. Zoppou and S. Roberts},
1396 title     = {Shallow water wave equations},
1397 publisher = {\emph{book in preparation}},
1398 address   = {Australian National University},
1399 year      = {}
1400}
1401@ARTICLE{ZR1999,
1402 author    = {C. Zoppou and S. Roberts},
1403 title     = {Catastrophic collapse of water supply reservoirs in urban areas},
1404 journal   = {Journal of Hydraulic Engineering, American Society of Civil Engineers},
1405 year      = {1999},
1406 volume    = {125},
1407 number    = {7},
1408 pages     = {686--695},
1409note      ={\url{http://dx.doi.org/10.1061/(ASCE)0733-9429(1999)125:7(686)}} 
1410}
1411
1412@ARTICLE{ZR2003,
1413 author    = {C. Zoppou and S. Roberts},
1414 title     = {Explicit schemes for dam-break simulations},
1415 journal   = {Journal of Hydraulic Engineering, American Society of Civil Engineers},
1416 year      = {2003},
1417 volume    = {129},
1418 number    = {1},
1419 pages     = {11--34},
1420note      ={\url{http://dx.doi.org/10.1061/(ASCE)0733-9429(2003)129:1(11)}} 
1421}
1422
1423@misc{RNGS2010,
1424 author       = {S. Roberts and O. Nielsen and D. Gray and J. Sexton},
1425 title        = {\textsl{ANUGA User Manual}},
1426 year         = {2010},
1427 howpublished = {Geoscience Australia},
1428 note             = {\url{http://anuga.anu.edu.au}}
1429}
1430@ARTICLE{Stoker1948,
1431 author      = {J. J. Stoker},
1432 title       = {The formation of breakers and bores},
1433 journal     = {Communications on Pure and Applied Mathematics},
1434 year        = {1948},
1435 volume          = {1},
1436 number          = {1},
1437 pages       = {1--87},
1438 note        = {\url{http://dx.doi.org/10.1002/cpa.3160010101}}
1439}
1440@ARTICLE{Dressler1949,
1441 author      = {R. F. Dressler},
1442 title       = {Mathematical solution of the problem of roll-waves in inclined open channels},
1443 journal     = {Communications on Pure and Applied Mathematics},
1444 year        = {1949},
1445 volume          = {2},
1446 number          = {2--3},
1447 pages       = {149--194},
1448 note        = {\url{http://dx.doi.org/10.1002/cpa.3160020203}}
1449}
1450@ARTICLE{dSV1871,
1451 author      = {A. J. C. B. de Saint-Venant},
1452 title       = {Theorie du mouvement non-permanent des eaux, avec application aux crues des rivieres et
1453 a l'introduction des marees dans leur lits},
1454 journal     = {Comptes Rendus de l'Academie des Sciences, Paris},
1455 year        = {1871},
1456 volume          = {73},
1457 pages       = {147--154;~237--240}
1458}
1459@ARTICLE{LGSG2007,
1460 author      = {A. S. Leon and M. S. Ghidaoui and A. R. Schmidt and M. H. Garcia},
1461 title       = {An efficient finite-volume scheme for modeling water hammer flows},
1462 journal     = {In W. James (editor), Contemporary modeling of urban water systems, Monograph 15.
1463Proceedings of stormwater and urban water systems modeling conference, Toronto, 2006},
1464 year        = {2007},
1465 pages       = {411--430},
1466 publisher   = {CHI, Guelph},
1467 note        = {\url{https://netfiles.uiuc.edu/asleon/www/web/Toronto.pdf}}
1468}
1469@ARTICLE{TNGH2002,
1470 author      = {Y. C. Tai and S. Noelle and J. M. N. T. Gray and K. Hutter},
1471 title       = {Shock-capturing and front-tracking methods for granular avalanches},
1472 journal     = {Journal of Computational Physics},
1473 year        = {2002},
1474 volume          = {175},
1475 number          = {1},
1476 pages       = {269--301},
1477 note        = {\url{http://dx.doi.org/10.1006/jcph.2001.6946}}
1478}
1479@ARTICLE{SH1989,
1480 author      = {S. B. Savage and K. Hutter},
1481 title       = {The motion of a finite mass of granular material down a rough incline},
1482 journal     = {Journal of Fluid Mechanics},
1483 year        = {1989},
1484 volume          = {199},
1485 pages       = {177--215},
1486 note        = {\url{http://dx.doi.org/10.1017/S0022112089000340}}
1487}
1488@ARTICLE{SH1991,
1489 author      = {S. B. Savage and K. Hutter},
1490 title       = {The dynamics of avalanches of granular materials from initiation to run-out. {P}art {I}: {A}nalysis},
1491 journal     = {Acta Mechanica},
1492 year        = {1991},
1493 volume          = {86},
1494 number      = {1--4},
1495 pages       = {201--223},
1496 note        = {\url{http://dx.doi.org/10.1007/BF01175958}}
1497}
1498@ARTICLE{BKN2010,
1499 author      = {A. Bollermann and A. Kurganov and S. Noelle},
1500 title       = {A well-balanced reconstruction for wetting/drying fronts},
1501 journal     = {IGPM Report},
1502 year        = {2010},
1503 volume      = {313},
1504 pages       = {1--18},
1505 note        = {\url{http://www.igpm.rwth-aachen.de/Download/reports/noelle/Bollermann-Kurganov-Noelle_IGPM_Report.pdf}}
1506}
1507@ARTICLE{CCM2013,
1508 author      = {P. Constabile and C. Constanzo and F. Macchione},
1509 title       = {A storm event watershed model for surface runoff based on 2D fully dynamic wave equations},
1510 journal     = {Hydrological Processes},
1511 year        = {2013},
1512 volume      = {27},
1513 number      = {4},
1514 pages       = {554--569},
1515 note        = {\url{http://dx.doi.org/10.1002/hyp.9237}} 
1516}
1517@ARTICLE{P2012,
1518 author      = {S. Popinet},
1519 title       = {Adaptive modelling of long-distance wave propagation and fine-scale flooding during the Tohoku tsunami},
1520 journal     = {Natural Hazards and Earth System Science},
1521 year        = {2012},
1522 volume      = {12},
1523 pages       = {1213--1227},
1524 note        = {\url{http://dx.doi.org/10.5194/nhess-12-1213-2012}} 
1525}
1526
1527
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