A Godunov-type method based on an exact solution to the Riemann problem for the shallow-water equations
type: Item
instance of: scholarly article
title: A Godunov-type method based on an exact solution to the Riemann problem for the shallow-water equations
zbMATH Open document ID: 0970.76507
author: V. V. Belikov
author: A. Yu. Semenov
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-04-05T00:00:00Z
review text: In this paper the authors develop and analyze a Godunov-tipe front-capturing method designed to compute fluid flows described by the one- and two-dimensional shallow-water equations. The method is particulary suitable for computing flows characterized by moderate and high values of the Froude number, which can involve gradients or even jumps in the values of flow variables. The algorithm developed can adecuately predict the propagation dynamics of strong hydraulic jumps and simulate the monotonic profiles of grid variables in the vicinity of a hydraulic jump. Examples of one- and two-dimensional computations are given to illustrate the effectiveness of the method.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 1427859
zbMATH Keywords: fluid flows
zbMATH Keywords: difference scheme
zbMATH Keywords: iterative algorithm
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1427859