Numerical modeling of open channel flows with dam-break using explicit finite difference schemes is constrained by the choice of time step, which is limited by the CFL stability criteria. To overcome this limitation, in this work we introduce the application of an algorithm to the field of computational hydraulics. By coupling this algorithm to a second-order accurate MacCormack scheme, we demonstrate that the solution can be accelerated to the desired transient state. The present formulation has been tested to simulate a dam-break flow. The close agreement between the obtained results and the theoretical findings indicates the reliability of the proposed algorithm.