Prediction of supercritical flow in open channels

DOI10.1016/0898-1221(92)90155-BzbMath0763.76049OpenAlexW1970643937MaRDI QIDQ1205916

P. Glaister

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0898-1221(92)90155-b

zbMATH Keywords

flux difference splittingshallow water equationslinearized problemupwind differencingnumerical characteristic decomposition

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 (5)

A sign matrix based scheme for non-homogeneous PDE's with an analysis of the convergence stagnation phenomenon ⋮ Flux difference splitting and the balancing of source terms and flux gradients ⋮ Efficient construction of high-resolution TVD conservative schemes for equations with source terms: application to shallow water flows ⋮ Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry ⋮ An efficient numerical scheme for the two-dimensional shallow water equations using arithmetic averaging

Cites Work

• An approximate linearised Riemann solver for the Euler equations for real gases
• Conservative upwind difference schemes for the shallow water equations
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Simplified Godunov Schemes for $2 \times 2$ Systems of Conservation Laws
• Flux difference splitting for the Euler equations in one spatial co-ordinate with area variation
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