A five-equation model based global ale method for compressible multifluid and multiphase flows

A five-equation model based global ale method for compressible multifluid and multiphase flows
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基于五方程模型的可压缩多流体和多相流全局 ale 方法

DOI:
10.1016/j.compfluid.2020.104756
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发表时间:
2021-01
期刊:
影响因子:
2.8
通讯作者:
Li Li
Li Li
中科院分区:
工程技术3区
文献类型:
--
作者:
Tian Baolin;Li Li

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本文基于等熵压缩或膨胀的假设,推导了拉格朗日方程中的混合胞封闭模型。建议的封闭模型被用来构建一个五方程模型的多流体和多相流的模拟。此后,一个全球ALE(任意拉格朗日欧拉)方法的五方程模式。基于五方程的ALE方法是一种两阶段ALE方法,包括拉格朗日阶段和区域重映射阶段。在第一阶段,采用单元中心拉格朗日格式对模型方程进行离散,并将传统的Riemann求解器扩展到不同材料的混合单元,得到了多流体Riemann求解器。基于五方程的ALE方法可用于模拟大变形的多物质流动,这是对许多传统ALE方法的挑战。此外,它可以用来模拟多相流。采用基于五方程的ALE方法模拟了一系列多材料多相试验问题,数值结果与精确解和参考结果吻合良好。
In this work, a mixing cell closure model was derived in a Lagrangian formulation based on the hypothesis of isentropic compression or expansion. The proposed closure model is used to construct a five-equation model for the simulation of multifluid and multiphase flows. Thereafter a global ALE(Arbitrary Lagrangian-Eulerian) method was developed for the five-equation model. The five-equation based ALE method is a two-stage ALE method, including a Lagrangian phase and a rezone-remap phase. In the first phase, the model equation was discretized with a cell-centered Lagrangian scheme, and a multifluid Riemann solver was proposed by extending traditional Riemann solver to mixed cells with different materials. The five-equation based ALE method can be used to simulate multi-material flows with large deformation, which is a challenge for many traditional ALE methods. Moreover, it can be used to simulate multiphase flows. A series of multi-material and multiphase test problems were simulated with the five-equation based ALE method, and numerical results agree well with exact solutions and reference results.
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