Maximum-principle-satisfying space-time conservationelement and solution element scheme applied to compressible multifluids
Maximum-principle-satisfying space-time conservationelement and solution element scheme applied to compressible multifluids
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可压缩多流体的最大满足时空守恒元及解元格式
DOI：
10.1016/j.jcp.2016.10.036
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发表时间：
2016
影响因子：
4.1
通讯作者：
Chi-Wang Shu
中科院分区：
文献类型：
--
作者：
Hua Shen;Chih-Yung Wen;Matteo Parsani;Chi-Wang Shu
构造了一种满足极大值原理的时空守恒元和解元（CE/SE）格式，用于求解可压缩多流体简化五方程模型和加强状态方程。首先给出了CE/SE格式在求解一般守恒律时满足极大值原理的一个充分条件。然后我们引入了一个斜率限制器来保证该充分条件对中心和迎风CE/SE格式都适用。最后，我们实现了迎风最大原理满足CE/SE格式求解基于体积分数的五方程模型的可压缩多流体。数值算例验证了该方法的精度、效率、保守性和最大值原理满足性。
A maximum-principle-satisfying space-time conservation element and solution element (CE/SE) scheme is constructed to solve a reduced five-equation model coupled with the stiffened equation of state for compressible multifluids. We first derive a sufficient condition for CE/SE schemes to satisfy maximum-principle when solving a general conservation law. And then we introduce a slope limiter to ensure the sufficient condition which is applicative for both central and upwind CE/SE schemes. Finally, we implement the upwind maximum-principle-satisfying CE/SE scheme to solve the volume-fraction-based five-equation model for compressible multifluids. Several numerical examples are carried out to carefully examine the accuracy, efficiency, conservativeness and maximum-principle-satisfying property of the proposed approach.