On the convergence of the simplified Bernoulli trial collision scheme in rarefied Fourier flow

2017 ◽  
Vol 29 (6) ◽  
pp. 062003 ◽  
Author(s):  
Elmira Taheri ◽  
Ehsan Roohi ◽  
Stefan Stefanov
Keyword(s):  
Bernoulli Trial

scholarly journals Using the Bernoulli trial approaches for detecting ordered alternatives

2013 ◽  
Vol 13 (1) ◽  
Author(s):  
Chia-Hao Chang ◽  
Chih-Chien Chin ◽  
Weichieh Wayne Yu ◽  
Ying-Yu Huang
Keyword(s):  
Bernoulli Trial ◽  
Ordered Alternatives

scholarly journals The Correctness of the Simplified Bernoulli Trial (SBT) Collision Scheme of Calculations of Two-Dimensional Flows

Micromachines ◽  
2021 ◽  
Vol 12 (2) ◽  
pp. 127
Author(s):  
Kiril Shterev
Keyword(s):  
Gas Flow ◽  
Three Dimensional ◽  
Direct Simulation Monte Carlo ◽  
Mean Free Path ◽  
Cumulative Distribution ◽  
Test Case ◽  
Two Dimensional ◽  
Bernoulli Trial ◽  
The Mean ◽  
Two Dimensional Flows

Micro-electromechanical systems (MEMS) have developed rapidly in recent years in various technical fields that have increased their interest in the Direct Simulation Monte Carlo (DSMC) method. In this paper, we present a simple representation of the DSMC collision scheme and investigate the correctness of the Simplified Bernoulli Trial (SBT) collision scheme for the calculation of two-dimensional flows. The first part of the collision scheme, which determines collision pairs, is presented following the derivation of the expression for the mean free path and using the cumulative distribution function. Approaches and conclusions based on one-dimensional flows are not always directly applicable to two- and three-dimensional flows. We investigated SBT correctness by using the two-dimensional pressure-driven gas flow of monoatomic gas as a test case. We studied the influence of shuffling of the list of particles per cell (PPC) before the collision scheme’s execution, as well as the minimal and maximal number of PPC, on the correctness of the solution. The investigation showed that shuffling and the number of PPC played an important role in the correctness of SBT. Our recommendations are straightforwardly applicable to three-dimensional flows. Finally, we considered the mixing of two gases and compared the results available in the literature.

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