Numerical Simulation of Two Dimensional Unsteady Flow By Total Variation Diminishing Scheme

Abstract

In recent years, many researchers have suggested various numerical techniques to solve the engineering problems like

fluid flow intricacies. The objective of this paper is to introduce a numerical approach to simulate treatment of

incompressible fluid flow in two-dimensional unsteady flow with the shallow water equations system. The governing

equations were solved by Finite Volume Method in explicit conditions. Moreover, to discretize the governing equations,

total variation diminishing scheme was employed in the unstructured triangular grid systems, directly. For evaluating the

numerical results of developed model, the Flow3D software was used. In this direction, two hypothetical cases have been

developed to investigate the accuracy of the results of the suggested model by Flow3D software. The comparison

between numerical results of developed model and simulations of Flow3D software, shows good agreement.

Furthermore, the suggested model can obtain acceptable results with less number of meshes than Flow3D software.

Keywords

• Finite Volume Method,Two-Dimensional,Shallow Water Equations

References

1. [1] Wu, W., Vieira, D.A. and Wang, S.S.Y., One-dimensional numerical model for non-uniform sediment transport under unsteady flows in channel networks. Journal of Hydraulic Engineering, ASCE, 130(9), 914–923, 2004.