On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method

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ESKANDARI M.; NOURAZAR S.S.

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Paper Information

Journal: JOURNAL OF APPLIED FLUID MECHANICS (JAFM) Year:2018 | Volume:11 | Issue:3 Page(s): 655-666

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Title

On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method

Author(s)

ESKANDARI M. | NOURAZAR S.S. | Issue Writer Certificate

Keywords

Boltzmann equation

Time relaxed Monte Carlo

modified time relaxed Monte Carlo

direct simulation Monte Carlo

Taylor series

Abstract

In the present study, a modified Time relaxed Monte Carlo (MTRMC) method is developed for numerical solution of the Boltzmann equation in rarefied regimes. Taylor series expansion is employed to obtain a generalized form of the Wild sum expansion and consequently the modified collision functions with fewer inter-molecular interactions are obtained. The proposed algorithm is applied on the lid-driven micro cavity flow with different lid velocities and the results for velocity and shear stress distributions are compared with those from the standard DSMC and TRMC methods. The comparisons show excellent agreement between the results of the MTRMC method with their counterparts from TRMC and DSMC methods. The present study illustrates appreciable improvement in the computational expense of the MTRMC method compared to those from standard TRMC and DSMC methods. The improvement is more pronounced compared to the standard DSMC method. It is observed that up to 56% reduction in CPU time is obtained in the studied cases.

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APA: Copy

ESKANDARI, M., & NOURAZAR, S.S.. (2018). On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method. JOURNAL OF APPLIED FLUID MECHANICS (JAFM), 11(3), 655-666. SID. https://sid.ir/paper/308101/en

Vancouver: Copy

ESKANDARI M., NOURAZAR S.S.. On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method. JOURNAL OF APPLIED FLUID MECHANICS (JAFM)[Internet]. 2018;11(3):655-666. Available from: https://sid.ir/paper/308101/en

IEEE: Copy

M. ESKANDARI, and S.S. NOURAZAR, “On the Expedient Solution of the Boltzmann Equation by Modified Time Relaxed Monte Carlo (MTRMC) Method,” JOURNAL OF APPLIED FLUID MECHANICS (JAFM), vol. 11, no. 3, pp. 655–666, 2018, [Online]. Available: https://sid.ir/paper/308101/en

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