Performance of High-resolution TVD Schemes for 1D Dam-break Simulations
Resource
Journal of the Chinese Institute of Engineers 28 (5): 771-781
Journal
Journal of the Chinese Institute of Engineers
Journal Volume
28
Journal Issue
5
Pages
771-781
Date Issued
2005
Date
2005
Author(s)
Abstract
Abstract 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.
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Type
journal article
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