Immersed Boundary Method for Boltzmann Model Kinetic Equations

被引：6

作者：

Pekardan, Cem ^{[1
]}

Chigullapalli, Sruti ^{[1
]}

Sun, Lin ^{[2
]}

Alexeenko, Alina ^{[1
]}

机构：

[1] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA

[2] NNSA Ctr Predict Reliabil, Integr & Survivabil Microsystems PRISM & Rosen Ct, W Lafayette, IN 47907 USA

来源：

28TH INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS 2012, VOLS. 1 AND 2 | 2012年 / 1501卷

关键词：

Boltzmann Equation; ESBGK; Immersed Boundary Method; Gas Damping; MEMS; Rarefied Gas Dynamics; FLOWS;

D O I：

10.1063/1.4769542

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

Three different immersed boundary method formulations are presented for Boltzmann model kinetic equations such as Bhatnagar-Gross-Krook (BGK) and Ellipsoidal statistical Bhatnagar-Gross-Krook (ESBGK) model equations. 1D unsteady IBM solution for a moving piston is compared with the DSMC results and 2D quasi-steady microscale gas damping solutions are verified by a conformal finite volume method solver. Transient analysis for a sinusoidally moving beam is also carried out for the different pressure conditions (1 atm, 0.1 atm and 0.01 atm) corresponding to Kn=0.05,0.5 and 5. Interrelaxation method (Method 2) is shown to provide a faster convergence as compared to the traditional interpolation scheme used in continuum IBM formulations. Unsteady damping in rarefied regime is characterized by a significant phase-lag which is not captured by quasi-steady approximations.

引用

页码：358 / 365

页数：8

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