An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification
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Publication:1693452
DOI10.1016/j.jcp.2017.04.018zbMath1380.86004arXiv1607.00200OpenAlexW2474595664MaRDI QIDQ1693452
Arnaud Duran, Frédéric Couderc, Jean-Paul Vila
Publication date: 31 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00200
Hydrology, hydrography, oceanography (86A05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with geophysics (35Q86)
Related Items (14)
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers ⋮ A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography ⋮ Validation of the low dissipation computational algorithm CABARET-MFSH for multilayer hydrostatic flows with a free surface on the lock-release experiments ⋮ High order well-balanced asymptotic preserving finite difference WENO schemes for the shallow water equations in all Froude numbers ⋮ An asymptotic preserving and energy stable scheme for the barotropic Euler system in the incompressible limit ⋮ Semi-implicit staggered mesh scheme for the multi-layer shallow water system ⋮ Analysis of dissipation operators that damp spurious modes while maintaining discrete approximate geostrophic equilibriums for the B-grid staggered scheme on triangular meshes ⋮ A semi-implicit finite volume scheme for dissipative measure-valued solutions to the barotropic Euler system ⋮ Godunov type scheme for the linear wave equation with Coriolis source term ⋮ A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography ⋮ An accurate multi-regime SPH scheme for barotropic flows ⋮ Energy-stable staggered schemes for the shallow water equations ⋮ A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction ⋮ Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities
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