Changeset 9371
- Timestamp:
- Nov 26, 2014, 10:05:47 AM (10 years ago)
- Location:
- trunk/anuga_core/validation_tests/analytical_exact/supercritical_over_bump
- Files:
-
- 2 edited
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trunk/anuga_core/validation_tests/analytical_exact/supercritical_over_bump/report.tex
r9228 r9371 16 16 %========================================= 17 17 18 \title{Automated Report on the Performance of \anuga{} on the Steady State of Moving Water with an Immersed Bump:\\Su bcritical Flow without a Shock}18 \title{Automated Report on the Performance of \anuga{} on the Steady State of Moving Water with an Immersed Bump:\\Supercritical Flow without a Shock} 19 19 \maketitle 20 20 %\tableofcontents -
trunk/anuga_core/validation_tests/analytical_exact/supercritical_over_bump/results.tex
r9228 r9371 1 1 2 \section{Su bcritical flow without a shock over a bump}2 \section{Supercritical flow without a shock over a bump} 3 3 4 This is a su bcritical flow over a bump. This test is adapted from Goutal and Maurel~\cite{GM1997}. No shock occurs in this scenario.4 This is a supercritical flow over a bump. This test is adapted from Goutal and Maurel~\cite{GM1997}. No shock occurs in this scenario. 5 5 6 6 Consider a one dimensional domain $[0,25]$ with topography … … 25 25 \begin{equation} 26 26 u(x,y,0)=v(x,y,0)=0\,, \quad 27 w(x,y,0)= 0.2\,,27 w(x,y,0)= 2\,, 28 28 \end{equation} 29 29 and the Dirichlet boundary conditions at $x=0^{-}$ and $25^{+}$ to be 30 30 \begin{equation} 31 [w,hu,hv]=[ 2, 4.42, 0]\,.31 [w,hu,hv]=[0.5, 10., 0]\,. 32 32 \end{equation} 33 33 Representatives of the simulation results are given in the following three figures. Even though we have small discrepancy in the numerical and analytical momenta, these numerical an analytical solutions should agree quite well.
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