Fourier stability analysis of two-dimensional finite element schemes for shallow water equations

DOI10.1080/10618562.2011.560572zbMath1271.76162OpenAlexW2027212044MaRDI QIDQ2847485

Jagadeesh Anmala, Rabi H. Mohtar

Publication date: 10 September 2013

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618562.2011.560572

zbMATH Keywords

finite element methodwave numbernumerical stabilitytime stepamplification factorCourant number

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Cites Work

• Two Element-by-Element Iterative Solutions for Shallow Water Equations
• Numerical solution of the St. Venant equations with the MacCormack finite-difference scheme
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• NUMERICAL STABILITY ANALYSIS FOR FREE SURFACE FLOWS
• Dispersion analysis of the least-squares finite-element shallow-water system
• Stability of explicit advection schemes. The balance point location rule
• Numerical solutions of the shallow water equations with discontinuous bed topography
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Fourier stability analysis of two-dimensional finite element schemes for shallow water equations