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The Riemann problem for shallow-water equations on a step: stationary solutions, the quasi-two-layer model and numerics

โœ Scribed by Karelsky, K V; Petrosyan, A S


Book ID
120547096
Publisher
Royal Swedish Academy of Sciences
Year
2013
Tongue
English
Weight
364 KB
Volume
T155
Category
Article
ISSN
0031-8949

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A pseudo-spectral algorithm is presented for the solution of the rotating Green-Naghdi shallow water equations in two spatial dimensions. The equations are first written in vorticity-divergence form, in order to exploit the fact that time-derivatives then appear implicitly in the divergence equation