International Journal for Multiscale Computational Engineering · 2018 · 21 citations · 0 references
ComputingComputational EngineeringComputational Fluid DynamicsFluid DynamicsHydrologic ModelingFinite Volume MethodsFlow ModelingNumerical ConvergenceComputational Fluid Dynamics For Shallow WaterConservative FormulationsShallow Water Equation ModelingShallow Water EquationsShallow-water HydrodynamicsStaggered Grid FormulationsStaggered Grids
We propose a staggered-grid finite volume method for solving the shallow water equations involving varying channel width and topography in one dimension. The method is an extension of an existing staggered conservative scheme for shallow water flows. One great advantage of the numerical method is that it does not need any Riemann solver in the flux calculation, so the numerical computation is cheap. We obtain that the method is able to solve a wide range of problems. The proposed method is well balanced and of the first order of accuracy.