Using the composite Riemann problem solution for capturing interfaces in compressible two-phase flows
Using the composite Riemann problem solution for capturing interfaces in compressible two-phase flows
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DOI：
10.1016/j.amc.2019.124610
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发表时间：
2019-12
期刊：
影响因子：
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通讯作者：
Chao Zhang-;I. Menshov
中科院分区：
文献类型：
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作者：
Chao Zhang-;I. Menshov
本文提出了一种新的界面捕捉方法的两相流的五方程模型。在这个模型中，两个流体分离的界面被视为一个均匀的流体的特征函数（体积分数）确定的位置的流体和接口。为了抑制数值扩散的接口，我们重建的不连续性的体积分数在每个复合（混合）细胞，包含两种材料。这种子细胞重建引起的复合黎曼问题（CRP），其解决方案是用来计算通过细胞的面绑定混合细胞的数值通量。采用HLLC方法近似求解CRP。CRP方法，以减少界面的数值扩散，而不引入虚假振荡。它的性能和鲁棒性进行了检查的各种一维和二维数值试验，如激波气泡相互作用问题，三点问题，和Richtmyer-Meshkov不稳定性问题。
The paper addresses a novel interface-capturing approach for two-phase flows governed by the five-equation model. In this model, two fluids separated with an interface are treated as a homogenous fluid with a characteristic function (volume fraction) determining the location of the fluids and the interface. To suppress the numerical diffusion of the interface, we reconstruct the discontinuity of the volume fraction in each composite (mixed) cell that contains two materials. This sub-cell reconstruction gives rise to the Composite Riemann Problem (CRP) whose solution is used to calculate the numerical flux through cell faces which bound mixed cells. The HLLC method is incorporated to approximate the solution of the CRP. The CRP method is shown to reduce the interface numerical diffusion without introducing spurious oscillations. Its performance and robustness is examined by a variety of 1D and 2D numerical tests, such as the shock-bubble interaction problem, the triple-point problem, and the Richtmyer–Meshkov instability problem.