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.


Copyright (2012) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in (C. Pekardan*, S. Chigullapalli*, L. Sun, and A. Alexeenko, “Immersed boundary method for Boltzmann model kinetic equations “, Proceedings of 28th International Symposium on Rarefied Gas Dynamics, 9–13 July 2012, Zaragoza, Spain. AIP Conf. Proc. Vol. 1501, pp. 358-365.) and may be found at http://dx.doi.org/10.1063/1.4769542. The following article has been submitted to/accepted by [American Institute of Physics]. After it is published, it will be found at (http://dx.doi.org/10.1063/1.4769542). Copyright (2012) C. Pekardan*, S. Chigullapalli*, L. Sun, and A. Alexeenko. This article is distributed under a Creative Commons Attribution 3.0 Unported License.

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