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Two methods for solving an initial-boundary value problem for a system of Saint-Venant equations. (Russian) Zbl 1071.76504

Two methods for solving an initial-boundary problem connected with the motion of spring flood flows caused by intensive thawing and rains are proposed. For a linear problem (the first method), a solution is obtained explicitly. For a nonlinear problem (the second method), a diffusive approximation is used and the problem is solved by a finite difference method. Numerical experiments show admissibility of a simplified diffusive approximation to the calculation of spring flood flows of hydrological nature.

MSC:

76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
76M20 Finite difference methods applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
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