A Fully Well-Balanced Lagrange--Projection-Type Scheme for the Shallow-Water Equations
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Publication:4554047
DOI10.1137/17M1156101zbMath1403.35201OpenAlexW2897086004MaRDI QIDQ4554047
T. Morales de Luna, Christophe Chalons, Manuel Jesús Castro-Díaz
Publication date: 7 November 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1156101
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (8)
A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere ⋮ On Lagrange-Projection Schemes for Shallow Water Flows Over Movable Bottom with Suspended and Bedload Transport ⋮ On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations ⋮ Implicit and implicit-explicit Lagrange-projection finite volume schemes exactly well-balanced for 1D shallow water system ⋮ Energy-stable staggered schemes for the shallow water equations ⋮ Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation ⋮ Second-order well-balanced Lagrange-projection schemes for blood flow equations ⋮ Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
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