Two-dimensional shallow water model for rapidly and gradually varied flow

• Autorzy: Szydłowski M.
• Języki publikacji: EN

Abstrakty

EN

The numerical solution of full shallow water equation (SWE) including the eddy viscosity terms is presented. In the first part of the paper the solution of the homogeneous part of SWE for discontinuous, rapidly varied flow is reported. The method presented here is based on Roe idea of numerical fluxes of mass and momentum. The numerical solution of SWE on unstructured, triangular mesh is reported and the influence of geometry approximation is examined. The imposing of the boundary condition on a triangular numerical mesh is described in detail. The consistent with finite volume method (FVM) approximation of the viscous part of SWE is presented. The procedure similar to the finite element method (FEM) is used to calculate the function derivatives inside the finite volumes. The specific difficulties of source terms numerical integration are studied and some methods to avoid these problems are presented. To integrate the bottom friction term the splitting technique is implemented. The computed results are compared to analytical solution of Saint-Venant equations, experimental data and results available in the literature. Good agreement between these results is observed.

Słowa kluczowe

EN

Two-dimensional shallow water model; rapidly varied flow; gradually varied flow; shallow water equations; eddy viscosity terms

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2001
• Tom: Vol. 48, nr 1
• Strony: 35--61
• Opis fizyczny: Bibliogr. 30 poz., il.

Twórcy

autor

Szydłowski M.

• Technical University of Gdańsk, Faculty for Hydro and Environmental Engineering, ul. Narutowicza 11/12, 80-952 Gdańsk, Poland