Analytical and numerical solutions of the Local Inertial Equations
作者： Ricardo Martins , Jorge Leandro , Slobodan Djordjević
DOI: 10.1016/J.IJNONLINMEC.2016.01.015
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摘要: Abstract Neglecting the convective terms in Saint-Venant Equations (SVE) flood hydrodynamic modelling can be done without a loss accuracy of simulation results. In this case Local Inertial (LInE) are obtained. Herein we present two analytical solutions for Equations. The first is classical instantaneous Dam-Break Problem and second steady state solution over bump. These compared with numerical schemes, namely order Roe scheme MacCormack scheme. Comparison between results shows that schemes converge to unique solution. Furthermore, by neglecting original remain stable need adding entropy correction, artificial viscosity or special initial conditions, as full SVE.
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