Geodesic
Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 3, pp. 30-45 Cet article a éte moissonné depuis la source Math-Net.Ru

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We derive system conservation of laws for the equations of shallow water on the rotating attractive sphere (mass and total momentum). We construct exact stationary solution with a step profile of depth. These solutions are used for testing explicit two-layer on time difference scheme. We spent numerical simulation of evolution one-dimensional non-stationary discontinuous waves on rotating attractive sphere.
Keywords: conservation laws for shallow water equations on a rotating attractive sphere, discontinuous flow of boron type on a sphere, difference scheme, numerical simulation. 
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A. V. Ivanova; V. V. Ostapenko; A. P. Chupakhin. Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 3, pp. 30-45. http://geodesic.mathdoc.fr/item/VNGU_2010_10_3_a2/

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