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

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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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     author = {A. V. Ivanova and V. V. Ostapenko and A. P. Chupakhin},
     title = {Numerical {Simulation} of {Shallow} {Water} {Flows} on the {Rotating} {Attractive} {Sphere}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {30--45},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2010_10_3_a2/}
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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/