求解一维浅水波方程的中心差分格式
The Central Differencing Scheme for 1-D Shallow Water Equations
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摘要: 使用Haim Nessyahu和Eitan Tadmor给出的求解双曲型守恒律的中心差分交错格式求解浅水波方程,经一维溃坝问题数值实验验证了该格式对于求解浅水波方程的可行性和有效性.Abstract: The staggered form of central differencing scheme for solving 1-D shallow water equations is given in this paper.The scheme is based on the staggered form of central differencing for hyperbolic conservation laws given by Haim Nessyahu and Eitan Tadmor which could be transformed by shallow water equations under certain circumstance.The numerical experiments of dam-break have verified the feasibility and effectiveness of this approach.