کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6932847 | 867572 | 2014 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An efficient particle Fokker-Planck algorithm for rarefied gas flows
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is devoted to the algorithmic improvement and careful analysis of the Fokker-Planck kinetic model derived by Jenny et al. [1] and Gorji et al. [2]. The motivation behind the Fokker-Planck based particle methods is to gain efficiency in low Knudsen rarefied gas flow simulations, where conventional direct simulation Monte Carlo (DSMC) becomes expensive. This can be achieved due to the fact that the resulting model equations are continuous stochastic differential equations in velocity space. Accordingly, the computational particles evolve along independent stochastic paths and thus no collision needs to be calculated. Therefore the computational cost of the solution algorithm becomes independent of the Knudsen number. In the present study, different computational improvements were persuaded in order to augment the method, including an accurate time integration scheme, local time stepping and noise reduction. For assessment of the performance, gas flow around a cylinder and lid driven cavity flow were studied. Convergence rates, accuracy and computational costs were compared with respect to DSMC for a range of Knudsen numbers (from hydrodynamic regime up to above one). In all the considered cases, the model together with the proposed scheme give rise to very efficient yet accurate solution algorithms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 262, 1 April 2014, Pages 325-343
Journal: Journal of Computational Physics - Volume 262, 1 April 2014, Pages 325-343
نویسندگان
M. Hossein Gorji, Patrick Jenny,