Evaluation of V and W multiple grid cycles for modeling one and two-dimensional transient free surface flows

摘要

This paper presents a new approach for numerically solving a hyperbolic set of equations. This approach addressed to as multiple grid, when integrated with any finite difference formulation aims at accelerating the solution to the desired transient state. It differs from the standard approach in that the solution procedure is iterated across a series of spatial domains. By solving the flow equations on nodes spanned across these domains and then relating the solution methodology to the physics of the flow propagation the focus is to show that this methodology can accelerate the solution to the desired transient state. The manner in which these domains are visited and revisited gives rise to V and W cycles, whose algorithm framework and efficiency for modeling one and two-dimensional transient open channel flows had been investigated herein.