Central scheme for two-dimensional dam-break flow simulation

A new second-order central scheme (KT), proposed by Kurganov and Tadmor, have been used for the solution of the two-dimensional dam-break problem. After having assumed as basis of the dam-break phenomenon the set of 2D nonhomogeneous Saint–Venant equations, the KT scheme in its semi-discrete second-order form has been extended for taking into account the presence of a source term. Time integration has been performed by using a third-order TVD Runge–Kutta scheme. To demonstrate the accuracy of this explicit method, the solution obtained by this model for a dam-break problem of one-dimensional flow has been compared with the corresponding analytical solution, moreover, the solutions obtained for two test cases of two-dimensional flow have been compared with the experimental results.