This article is cited in 1 paper

Numerical Simulation of Shallow Water Flows on the Rotating Attractive Sphere

A. V. Ivanova^a, V. V. Ostapenko^ab, A. P. Chupakhin<sup>ab

a</sup> M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
^b Novosibirsk State University

Abstract: 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.

UDC: 532.5+517.9+519.63

Received: 28.01.2010