Implicit bidiagonal scheme for computation of flood waves using shallow water equations

摘要

This paper is concerned with a mathematical model for numerical simulation of 2D flood waves due to complete or partial dam-break. The governing water equations are solved by a implicit bidiagonal numerical scheme, based on the MacCormack's predictor-corrector technique. The mathematical model is used to numerically compute the water surface from supercritical flow to subcritical one or from subcritical flow to supercritical one in a rectangular open channel; and the numerical results are compared with the theoretical results. And it is also used to predict 2D flood waves due to partial instantaneous dam-break in a rectangular open channel with several rectangular cylinder barriers downstream, and the reliability of numerical results is analyzed. The comparison and the analysis show that the proposed method is accurate, reliable and effective in simulation of dam-break flood waves.