In recent years, many researchers have suggested various numerical techniques to solve the engineering problems likefluid flow intricacies. The objective of this paper is to introduce a numerical approach to simulate treatment ofincompressible fluid flow in two-dimensional unsteady flow with the shallow water equations system. The governingequations 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 thenumerical results of developed model, the Flow3D software was used. In this direction, two hypothetical cases have beendeveloped to investigate the accuracy of the results of the suggested model by Flow3D software. The comparisonbetween 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.