Performance of high-resolution TVD schemes for 1D dam-break simulations

• Published in: Journal of the Chinese Institute of Engineers Vol. 28; no. 5; pp. 771 - 782
• Main Authors: Lin, Gwo-Fong, Lai, Jihn-Sung, Guo, Wen-Dar
• Format: Journal Article
• Language: English; Chinese
• Published: Taylor & Francis Group 01.09.2005
• Subjects: dam-break problem; direct MUSCL-Hancock (DMH) slope limiter approach; flux vector splitting (FVS); high-resolution total variation diminishing (TVD) scheme
• ISSN: 0253-3839; 2158-7299
• DOI: 10.1080/02533839.2005.9671047

The performance of high-resolution total variation diminishing (TVD) schemes for simulating dam-break problems are presented and evaluated. Three robust and reliable first-order upwind schemes, namely FVS, Roe and HLLE schemes, are extended to six second-order TVD schemes using two different approaches, the Sweby flux limiter approach and the direct MUSCL-Hancock slope limiter. For idealized dam-break flows, comparisons of the simulated results with the exact solutions show that the flux vector splitting (FVS) scheme coupled with the direct MUSCL-Hancock (DMH) slope limiter approach has the best numerical performance among the presented schemes. Application of the FVS-DMH scheme to a dam-break experiment with sloping dry bed shows that the simulated water depths agree well with the measured.