A particle-particle hybrid method for kinetic and continuum equations

作者：Tiwari Sudarshan^*; Klar Axel; Hardt Steffen

来源：Journal of Computational Physics, 2009, 228(18): 7109-7124.

DOI：10.1016/j.jcp.2009.06.019

• Hybrid particle methods
• Boltzmann equation
• Navier-Stokes equations
• Domain decomposition
• Projection method
• Shock tube problem

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.

• 出版日期2009-10-1