Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method | Zendy

Hamid Reza Vosoughifar | Zendy; Azam Dolatshah | Zendy; Seyed Kazem Sadat Shokouhi | Zendy

Open Access

Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method

Author(s) -

Hamid Reza Vosoughifar,

Azam Dolatshah,

Seyed Kazem Sadat Shokouhi

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/642485

Subject(s) - classification of discontinuities , finite volume method , dam break , discretization , shallow water equations , voronoi diagram , finite volume method for one dimensional steady state diffusion , grid , asymmetry , mathematics , mathematical optimization , computer science , mechanics , mathematical analysis , geometry , partial differential equation , physics , numerical partial differential equations , philosophy , theology , quantum mechanics , flood myth

This paper was concerned to simulate both wet and dry bed dam break problems. A high-resolution finite volume method (FVM) was employed to solve the one-dimensional (1D) and two-dimensional (2D) shallow water equations (SWEs) using an unstructured Voronoi mesh grid. In this attempt, the robust local Lax-Friedrichs (LLxF) scheme was used for the calculating of the numerical flux at cells interfaces. The model named V-Break was run under the asymmetry partial and circular dam break conditions and then verified by comparing the model outputs with the documented results. Due to a precise agreement between those output and documented results, the V-Break could be considered as a reliable method for dealing with shallow water (SW) and shock problems, especially those having discontinuities. In addition, statistical observations indicated a good conformity between the V-Break and analytical results clearly

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research