Two-dimensional Dam-break Problem with ADI Scheme based on Split Flux

Abstract

A two-dimensional unsteady free surface flows and numerical model for dam-break problem is developed in this paper. An Alternating Direction Implicit (ADI) finite difference scheme based on split flux techniques with combination of implicit and explicit scheme solves momentum equations independently and is applied to simulate dam-break flood wave propagation in two-dimensions.Flows with simultaneous presence of supercritical and subcritical regions can be analyzed by the proposed model. Details of the model and various boundary and initial conditions are described.Some numerical results and comparisons with other existing models are presented to demonstrate applicability of the proposed model.