Modeling Water and Sediment Flow using the Finite Volume Method

Dam break flood on a mobile bed is simulated using a two dimensional numerical model. The governing equations are solved in the framework of the finite volume method. In order to achieve a second order method both in time and space, the Mac Cormack predictor corrector scheme is used. To overcome the problem of unphysical oscillations the component-wise TVD technique is implemented which is a simple TVD method because it is not necessary to use the Jacobian matrix and its eigenvalues. In the study of mobile bed hydraulics it is necessary to pay due attention to the strong interaction between water and sediment and morphological river changes. Thus the conservation laws are solved in a coupled manner, i.e. the transport equations for water and sediment are solved simultaneously. The model has been verified by its application for different test cases and the results are satisfactory.