Changeset 4005
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 Nov 17, 2006, 4:30:18 PM (17 years ago)
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anuga_core/source/anuga/shallow_water/shallow_water_domain.py
r4004 r4005 1 1 """Finitevolume computations of the shallow water wave equation. 2 2 3 Title: ANGUA shallow_water_domain  2D triangular domains for finitevolume computations of4 the shallow water wave equation.3 Title: ANGUA shallow_water_domain  2D triangular domains for finitevolume 4 computations of the shallow water wave equation. 5 5 6 6 … … 9 9 Duncan Gray (Duncan.Gray@ga.gov.au), etc 10 10 11 12 11 CreationDate: 2004 13 12 14 13 Description: 15 16 This module contains a specialisation of class Domain from module domain.py 17 consisting of methods specific to the Shallow Water Wave Equation 18 19 20 U_t + E_x + G_y = S 21 22 where 23 24 U = [w, uh, vh] 25 E = [uh, u^2h + gh^2/2, uvh] 26 G = [vh, uvh, v^2h + gh^2/2] 27 S represents source terms forcing the system 28 (e.g. gravity, friction, wind stress, ...) 29 30 and _t, _x, _y denote the derivative with respect to t, x and y respectively. 31 32 The quantities are 33 34 symbol variable name explanation 35 x x horizontal distance from origin [m] 36 y y vertical distance from origin [m] 37 z elevation elevation of bed on which flow is modelled [m] 38 h height water height above z [m] 39 w stage absolute water level, w = z+h [m] 40 u speed in the x direction [m/s] 41 v speed in the y direction [m/s] 42 uh xmomentum momentum in the x direction [m^2/s] 43 vh ymomentum momentum in the y direction [m^2/s] 44 45 eta mannings friction coefficient [to appear] 46 nu wind stress coefficient [to appear] 47 48 The conserved quantities are w, uh, vh 14 This module contains a specialisation of class Domain from 15 module domain.py consisting of methods specific to the 16 Shallow Water Wave Equation 17 18 U_t + E_x + G_y = S 19 20 where 21 22 U = [w, uh, vh] 23 E = [uh, u^2h + gh^2/2, uvh] 24 G = [vh, uvh, v^2h + gh^2/2] 25 S represents source terms forcing the system 26 (e.g. gravity, friction, wind stress, ...) 27 28 and _t, _x, _y denote the derivative with respect to t, x and y 29 respectively. 30 31 32 The quantities are 33 34 symbol variable name explanation 35 x x horizontal distance from origin [m] 36 y y vertical distance from origin [m] 37 z elevation elevation of bed on which flow is modelled [m] 38 h height water height above z [m] 39 w stage absolute water level, w = z+h [m] 40 u speed in the x direction [m/s] 41 v speed in the y direction [m/s] 42 uh xmomentum momentum in the x direction [m^2/s] 43 vh ymomentum momentum in the y direction [m^2/s] 44 45 eta mannings friction coefficient [to appear] 46 nu wind stress coefficient [to appear] 47 48 The conserved quantities are w, uh, vh 49 49 50 50 Reference: 51 Catastrophic Collapse of Water Supply Reservoirs in Urban Areas, 52 Christopher Zoppou and Stephen Roberts, 53 Journal of Hydraulic Engineering, vol. 127, No. 7 July 1999 54 55 Hydrodynamic modelling of coastal inundation. 56 Nielsen, O., S. Roberts, D. Gray, A. McPherson and A. Hitchman 57 In Zerger, A. and Argent, R.M. (eds) MODSIM 2005 International Congress on 58 Modelling and Simulation. Modelling and Simulation Society of Australia and 59 New Zealand, December 2005, pp. 518523. ISBN: 0975840029. 60 http://www.mssanz.org.au/modsim05/papers/nielsen.pdf 61 62 63 SeeAlso: TRAC administration of ANUGA (User Manuals etc) at https://datamining.anu.edu.au/anuga and 64 Revision control 65 $HeadURL$ 51 Catastrophic Collapse of Water Supply Reservoirs in Urban Areas, 52 Christopher Zoppou and Stephen Roberts, 53 Journal of Hydraulic Engineering, vol. 127, No. 7 July 1999 54 55 Hydrodynamic modelling of coastal inundation. 56 Nielsen, O., S. Roberts, D. Gray, A. McPherson and A. Hitchman 57 In Zerger, A. and Argent, R.M. (eds) MODSIM 2005 International Congress on 58 Modelling and Simulation. Modelling and Simulation Society of Australia and 59 New Zealand, December 2005, pp. 518523. ISBN: 0975840029. 60 http://www.mssanz.org.au/modsim05/papers/nielsen.pdf 61 62 63 SeeAlso: 64 TRAC administration of ANUGA (User Manuals etc) at 65 https://datamining.anu.edu.au/anuga and Subversion repository at 66 $HeadURL$ 66 67 67 68 Constraints: See GPL license in the user guide 68 69 69 Version: 1.0 ($Revision$) 70 70 ModifiedBy: 71 $Author$ 72 $Date$ 73 74 $LastChangedBy$ 75 $LastChangedDate$ 76 $LastChangedRevision$ 77 71 $Author$ 72 $Date$ 78 73 79 74 """
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