Effect of a High Resolution Finite Volume Scheme with Unstructured Voronoi Mesh for Dam Break Simula

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Effect of a High Resolution Finite Volume Scheme with Unstructured Voronoi Mesh for Dam Break Simulation

Original Article, D71
Jalalpour H. and Tabandeh SM.
J. Civil Eng. Urban. 4(4): 474-479. 2014

ABSTRACT: In this paper, a high resolution finite volume method (FVM) is developed in order to discretization of multidimensional mathematical equations of Dam Break Phenomena using an unstructured Voronoi mesh grid for evaluating the effect of this type of mesh. Accordingly, the robust local Lax-Friedrichs (LLxF) scheme was used for the calculating of the numerical flux at cells interfaces. The model named FVDBC was run under the asymmetry partial and circular dam break conditions and then verified by comparing the model outputs with the documented results presented in the literature. A statistical analysis using SPSS statistical are performed to confirm the verification of the developed method. In addition, statistical observations indicated a good conformity between the FVDBC and analytical results clearly. The results of FVDBC code with voronoi mesh presented higher efficiency and precision than other meshes. Thus, it is better to use the voronoi mesh in numerical discrete equations because not only able to complicated geometries but also can give accurate results in lower computational effort. Due to a precise agreement between those output and documented results, the FVDBC could be considered as a reliable method for dealing with shallow water (SW) and shock problems, especially those having discontinuities.

Keywords: Dam break, finite volume method, high resolution Local Lax–Friedrich scheme, Voronoi Mesh.

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