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2019 | OriginalPaper | Chapter

A Generalized Form of the Simplified Bernoulli Trial Collision Scheme Applied to Shock Waves

Authors : Ehsan Roohi, Stefan Stefanov

Published in: 31st International Symposium on Shock Waves 1

Publisher: Springer International Publishing

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Abstract

The motivation of this research is to present a generalization of the intermolecular collision schemes in the framework of the direct simulation Monte Carlo (DSMC) method derived from the Kac stochastic equation. Here, we derive a generalized form of the Bernoulli Trial collision scheme (GBT) where the number of selected pairs is any desired value smaller than (N (l) − 1), i.e., N sel < (N (l) − 1). The present generalization further improves the computational efficiency of the Bernoulli Trial-based collision models compared to the standard no time counter (NTC) and nearest neighbor (NN) collision models. We evaluate the accuracy and performance of the GBT scheme in treating flows with shock waves.

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previous chapter Singularity Formation in the Geometry of Perturbed Shocks of General Mach Number
next chapter On the Problem of Shock Wave Structure
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Metadata
Title
A Generalized Form of the Simplified Bernoulli Trial Collision Scheme Applied to Shock Waves
Authors
Ehsan Roohi
Stefan Stefanov
Copyright Year
2019
Book
31st International Symposium on Shock Waves 1

Print ISBN: 978-3-319-91019-2

Electronic ISBN: 978-3-319-91020-8

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-319-91020-8_107

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