scientific article; zbMATH DE number 7485180

zbMath1499.65455MaRDI QIDQ5862224

Aimin Huang, Arthur Bousquet

Publication date: 7 March 2022

Full work available at URL: https://www.global-sci.org/intro/article_detail/ijnam/553.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite volume methodshallow water equationsstability and convergence

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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)

Cites Work

• Mathematical justification of a shallow water model
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Finite volume multilevel approximation of the shallow water equations
• The linearized 2D inviscid shallow water equations in a rectangle: boundary conditions and well-posedness
• A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation
• The one-dimensional shallow water equations with transparent boundary conditions
• A Finite Volume Implicit Euler Scheme for the Linearized Shallow Water Equations: Stability and Convergence
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
• Recent Mathematical Results and Open Problems about Shallow Water Equations
• Shallow-Water Equations and Related Topics
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