Numerical modeling of open channel flows using a multiple grid ENO scheme

In this work, the performance details of a multiple grid ENO scheme for modeling transient one dimensional open channel flows is investigated. The formulation in a multiple grid formulation differs from the conventional algorithm in that, at a constant time period, the equations are solved across different grid levels, so as to facilitate faster propagation of the boundary condition. This results in a faster convergence of the solution to the desired time level. Focus in this paper is split across both testing the accuracy of the end solution and in quantifying the resultant computational savings. Tests conducted for flows with shocks indicate that the solution from current formulation is inline with the theoretical predictions.