High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces
High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces
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DOI：
10.1016/j.jcp.2018.03.036
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发表时间：
2018-10
期刊：
影响因子：
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通讯作者：
X. Deng;S. Inaba;B. Xie;K. Shyue;F. Xiao
中科院分区：
文献类型：
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作者：
X. Deng;S. Inaba;B. Xie;K. Shyue;F. Xiao
我们在这项工作中提出了一种新的重构方案，即所谓的 MUSCL-THINC-BVD 方案，用于求解界面两相流的五方程模型。该方案采用传统的冲击捕获MUSCL（单调上游中心守恒定律方案）方案和界面锐化THINC（接口捕获双曲线正切）方案作为BVD（边界变化递减）原理的空间重建的两个组成部分，最大限度地减少单元边界处重建变量的变化（跳跃），从而有效减少数值解中的耗散误差。 MUSCL-THINC-BVD方案在同一有限体积框架下对体积分数和其他状态变量进行实现，实现了体积分数和其他物理变量之间的一致性。基准测试的数值结果表明，与其他现有方法相比，本方法能够将材料界面捕获为明确定义的体积分数急剧跳跃，并获得高质量的数值解。该方案是一种简单有效的模拟可压缩界面多相流的方法，具有实际意义。
We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD scheme, to solve the five-equation model for interfacial two phase flows. This scheme employs the traditional shock capturing MUSCL (Monotone Upstream-centered Schemes for Conservation Law) scheme as well as the interface sharpening THINC (Tangent of Hyperbola for INterface Capturing) scheme as two building-blocks of spatial reconstruction on the BVD (boundary variation diminishing) principle that minimizes the variations (jumps) of the reconstructed variables at cell boundaries, and thus effectively reduces the dissipation error in numerical solutions. The MUSCL-THINC-BVD scheme is implemented to the volume fraction and other state variables under the same finite volume framework, which realizes the consistency among volume fraction and other physical variables. Numerical results of benchmark tests show that the present method is able to capture the material interface as a well-defined sharp jump in volume fraction, and obtain numerical solutions of superior quality in comparison to other existing methods. The proposed scheme is a simple and effective method of practical significance for simulating compressible interfacial multiphase flows.