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The Cauchy-Riemann conditions and localized asymptotic solutions of the linearized shallow-water equations

โœ Scribed by S.Yu. Dobrokhotov; B. Tirozzi; A.I. Shafarevich


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
308 KB
Volume
69
Category
Article
ISSN
0021-8928

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โœ P. Glaister ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 366 KB

A finite-difference scheme based on flux difference splitting is presented for the solution of the two-dimensional shallow-water equations of ideal fluid flow. A linearised problem, analogous to that of Riemann for gasdynamics, is defined and a scheme, based on numerical characteristic decomposition

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In this paper we present the exact solution of the Riemann problem for the non-linear shallow water equations with a step-like bottom. The solution has been obtained by solving an enlarged system that includes an additional equation for the bottom geometry and then using the principles of conservati