The simulation of dam-break flows by an improved predictor–corrector TVD scheme

✍ Scribed by Ming Hseng Tseng; Chia R. Chu

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 271 KB
• Volume: 23
• Category: Article
• ISSN: 0309-1708
• DOI: 10.1016/s0309-1708(99)00051-2

✦ Synopsis

This paper reports a ®nite dierence predictor±corrector TVD (total variation diminishing) scheme for the computation of unsteady one-dimensional dam-break ¯ows. The algorithm modi®ed the widely used MacCormack scheme by implementing a conservative dissipation step to avoid any unphysical oscillation in the vicinity of strong gradients in the numerical solution. A general treatment for satisfying the entropy inequality condition is incorporated. The accuracy and robustness of the numerical scheme are veri®ed with an analytic solution and experimental data. Furthermore, a sensitivity study is carried out to investigate the accuracy of four dierent versions of the predictor±corrector schemes. It is found that the numerical scheme will have less computational error and higher eciency when the direction of the predictor±corrector step is the same as the direction of the shock wave propagation.