Coupled solution of the Boltzmann and Navier–Stokes equations in gas–liquid two phase flow
Coupled solution of the Boltzmann and Navier–Stokes equations in gas–liquid two phase flow
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DOI：
10.1016/j.compfluid.2012.10.018
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发表时间：
2013-01
影响因子：
2.8
通讯作者：
S. Tiwari;A. Klar;S. Hardt;Alexander Donkov
中科院分区：
文献类型：
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作者：
S. Tiwari;A. Klar;S. Hardt;Alexander Donkov
本文研究了气相内较大努森数范围内的气液两相流动。液相由不可压缩的Navier-Stokes方程建模，气相由Boltzmann方程建模，允许考虑气体内部的稀薄条件。推导了气液两相界面边界条件。不可压Navier-Stokes方程采用无网格拉格朗日粒子法（FPM）求解，Boltzmann方程采用DSMC粒子法求解。为了验证Boltzmann和不可压缩Navier-Stokes方程的耦合解，我们进一步分别求解了气相和液相中的可压缩和不可压缩Navier-Stokes方程。在后一种情况下，可压缩和不可压缩Navier-Stokes方程也由FPM求解。在连续区中，从Boltzmann和不可压缩Navier-Stokes方程获得的耦合解与从可压缩和不可压缩Navier-Stokes方程获得的解相匹配。
We study gas–liquid two-phase flow over a large range of Knudsen numbers inside the gase phase. The liquid phase is modeled by the incompressible Navier–Stokes equations, the gas phase by the Boltzmann equation, allowing to consider rarefied conditions inside the gas. The interface boundary conditions between the gas and liquid phases are derived. The incompressible Navier–Stokes equations are solved by a meshfree Lagrangian particle method called Finite Pointset Method (FPM), and the Boltzmann equation by a DSMC type of particle method. To validate the coupled solutions of the Boltzmann and the incompressible Navier–Stokes equations we have further solved the compressible and the incompressible Navier–Stokes equations in the gas and liquid phases, respectively. In the latter case both the compressible and the incompressible Navier–Stokes equations are also solved by the FPM. In the continuum regime the coupled solutions obtained from the Boltzmann and the incompressible Navier–Stokes equations match with the solutions obtained from the compressible and the incompressible Navier–Stokes equations.