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공공누리This item is licensed Korea Open Government License

Title
A review and perspective on a convergence analysis of the direct simulation Monte Carlo and solution verification
Author(s)
명노신EJTEHADI, OMIDKarchani, Abolfazl
Publisher
American Institute of Physics
Publication Year
2019-06-25
Abstract
In 1963, G. A. Bird published a research note on his investigation of a rigid sphere gas reaching translational equilibrium using a Monte Carlo type method.
Since then, the method has been developed into a primary workhorse to computationally solve the Boltzmann kinetic equation.
As it is increasingly applied to challenging problems in the real world, verification studies of the method have become a critical issue.
In this paper, we review previous studies on this challenging subject and present a perspective on a convergence analysis of the direct simulation Monte Carlo (DSMC) method and solution verification.
During this process, a verification method based on the physical laws of conservation is studied in depth.
In particular, a convergence history plot on all three types of computational errors—decomposition, statistical, and round-off—is presented for two benchmark problems.
Finally, future research topics to maximize the full potential of the DSMC method, pioneered by the late G. A. Bird, are suggested.
Keyword
직접모사몬테카를로; 확증; 연산에러; 수렴성; 에러예측; Direct simulation Monte Carlo; verification; computational error; convergence; error estimation
Journal Title
Physics of Fluids;
Citation Volume
31
ISSN
1070-6631
DOI
10.1063/1.5093746
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Appears in Collections:
7. KISTI 연구성과 > 학술지 발표논문
URI
https://repository.kisti.re.kr/handle/10580/16221
Fulltext
 https://scienceon.kisti.re.kr/srch/selectPORSrchArticle.do?cn=NART110219609
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