A multiple grid approach for open channel flows with strong shocks

摘要

Explicit finite difference schemes are being widely used for modeling open channel flows accompanied with shocks. A characteristic feature of explicit schemes is the small time step, which is limited by the CFL stability condition. To overcome this limitation, in this work, we demonstrate the advantages of using a multiple grid formulation coupled to MacCormack scheme. This formulation is tested by simulating a stationary hydraulic jump and the numerical results compared with the experimental findings. Focus in this work is equally distributed between the accuracy of the solution and on the computational savings.