Multi-Layer Finite Volume Solution of Wind Induced Basin Flow

Abstract

In this paper, a multi-layers numerical model is introduced for modeling shallow water flows. The model numerically solves equations of continuity and motions in order to compute water depth and velocity patterns in each layer. The model can consider the elevation variation of upper layers and bed and wall geometric complexities and resistances. It can also consider the effect of wind on surface layer. The governing equations are discretized using cell vertex finite volume method in triangular unstructured meshes. For stabilizing the explicit solution process, artificial viscosity formulations are adopted for the unstructured meshes in such a way that preserves the accuracy of the numerical results. The accuracy of the results of present multi-layer flow solver is assessed by simulating wind induced flow in a circular basin and by a comparison of the computed results with the results of previous research works.KeywordsUnstructured MeshArtificial ViscosityShallow Water EquationTriangular Unstructured MeshCircular BasinThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.