A particle-particle hybrid method for kinetic and continuum equations
A particle-particle hybrid method for kinetic and continuum equations
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DOI：
10.1016/j.jcp.2009.06.019
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发表时间：
2009-10-01
影响因子：
4.1
通讯作者：
Hardt, Steffen
中科院分区：
文献类型：
--
作者：
Tiwari, Sudarshan;Klar, Axel;Hardt, Steffen
我们为玻尔兹曼和纳维-斯托克斯方程的两种不同类型的粒子方法提出了耦合程序。 DSMC 方法的变体用于模拟玻尔兹曼方程，而与 SPH 方法类似的无网格拉格朗日粒子方法用于模拟纳维-斯托克斯方程。在连续统分解准则的帮助下使用自动域分解方法。我们应用自适应空间和时间网格。经典 Sod 的一维激波管问题已针对大范围的 Knudsen 数得到解决。比较了玻尔兹曼、纳维-斯托克斯和混合求解器的结果。混合求解器的 CPU 时间比玻尔兹曼求解器快 3-4 倍。 (C) 2009 Elsevier Inc. 保留所有权利。
We present a coupling procedure for two different types of particle methods for the Boltzmann and the Navier-Stokes equations. A variant of the DSMC method is applied to simulate the Boltzmann equation, whereas a meshfree Lagrangian particle method, similar to the SPH method, is used for simulations of the Navier-Stokes equations. An automatic domain decomposition approach is used with the help of a continuum breakdown criterion. We apply adaptive spatial and time meshes. The classical Sod's 1 D shock tube problem is solved for a large range of Knudsen numbers. Results from Boltzmann, Navier-Stokes and hybrid solvers are compared. The CPU time for the hybrid solver is 3-4 times faster than for the Boltzmann solver. (C) 2009 Elsevier Inc. All rights reserved.