Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes

DOI10.1007/s10915-010-9437-3zbMath1358.76017OpenAlexW1977042465MaRDI QIDQ649957

Jianxian Qiu, Changna Lu

Publication date: 25 November 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-010-9437-3

zbMATH Keywords

shallow water equationshigh order accuracyweighted essentially non-oscillatory schemesLax-Wendroff-type time discretization

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (12)

The high order control volume discontinuous Petrov-Galerkin finite element method for the hyperbolic conservation laws based on Lax-Wendroff time discretization ⋮ The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration ⋮ Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations ⋮ Well-balanced fifth-order finite difference Hermite WENO scheme for the shallow water equations ⋮ A new fifth-order finite difference well-balanced multi-resolution WENO scheme for solving shallow water equations ⋮ The finite volume WENO with Lax-Wendroff scheme for nonlinear system of Euler equations ⋮ The simple finite volume Lax-Wendroff weighted essentially nonoscillatory schemes for shallow water equations with bottom topography ⋮ High-order multiderivative time integrators for hyperbolic conservation laws ⋮ A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations ⋮ The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes ⋮ Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration ⋮ Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws

Cites Work

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• The surface gradient method for the treatment of source terms in the shallow-water equations

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