A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography

DOI10.1007/s10444-017-9521-4zbMath1465.35338OpenAlexW2589385918MaRDI QIDQ1683230

Dao Huy Cuong, Mai Duc Thanh

Publication date: 6 December 2017

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-017-9521-4

zbMATH Keywords

shallow water equationsaccuracyRiemann problemGodunov schemenonconservativeresonantvan Leer scheme

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (9)

The Riemann problem for the nonisentropic Baer-Nunziato model of two-phase flows ⋮ A well-balanced finite volume scheme based on planar Riemann solutions for 2D shallow water equations with bathymetry ⋮ A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes ⋮ The resonant cases and the Riemann problem for a model of two-phase flows ⋮ A well-balanced high-order scheme on van Leer-type for the shallow water equations with temperature gradient and variable bottom topography ⋮ The Riemann problem for the shallow water equations with horizontal temperature gradients ⋮ A van Leer-type numerical scheme for the model of a general fluid flow in a nozzle with variable cross section ⋮ A well-balanced numerical scheme for a model of two-phase flows with treatment of nonconservative terms ⋮ Dimensional splitting well-balanced schemes on Cartesian mesh for 2D shallow water equations with variable topography

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