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计算数学  2015 

MFCAV近似Riemann解法器在相容拉氏方法中的熵条件分析

, PP. 286-298

Keywords: 熵条件,MFCAV近似Riemann解法器,相容拉氏方法

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Abstract:

对基于MFCAV(MultiFluidChannelonAveragedVolume)近似Riemann解法器的相容拉氏方法的熵条件进行了分析.结果表明与满足声学形式Riemann解法器的熵不同,前者只能在每个网格边界左、右两侧网格的熵随时间变化的和保证大于零,即能保证整体熵增,但不保证传统意义上的在每个网格中的熵增;而后者不仅保证整体熵增,而且还满足传统意义上的熵增.因此MFCAV的熵增相对声学形式解法器而言要弱一些,由此表明其熵增可能要小些,使得格式的耗散可能要小些.数值算例也验证了分析的正确性.

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