An analysis of arithmetic averaging in approximate Riemann solvers with an application to steady, supercritical flows

DOI10.1016/0898-1221(94)00171-5zbMath0812.76054OpenAlexW2035898317MaRDI QIDQ1339814

P. Glaister

Publication date: 11 December 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00171-5

zbMATH Keywords

channel flowtwo-dimensional shallow water equationsjump capturing

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

Related Items

Shock capturing for supercritical free-surface flows in curvilinear channel geometries ⋮ An analysis of arithmetic averaging in a Riemann solver for the one- dimensional Euler equations ⋮ The relationship between the direct and weak formulations of a linearised Riemann solver for systems of conservation laws

Cites Work

• An efficient numerical scheme for the Euler equations
• An efficient numerical scheme for the two-dimensional shallow water equations using arithmetic averaging