2011
DOI: 10.1137/090751864
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On DSMC Calculations of Rarefied Gas Flows with Small Number of Particles in Cells

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Cited by 100 publications
(62 citation statements)
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“…For these grid and time parameters, the total computational error (systematic and statistical) is less than 1% in all the computed cases. Here, the available analyses of the splitting scheme and domain discretization [22,23] suggest a first order systematic approximation error of (O(∆t, ∆r)), with respect to the Boltzmann equation. The statistical error [24] is estimated as O(1/ N T N p ).…”
Section: Direct Simulation Monte Carlo (Dsmc)mentioning
confidence: 99%
“…For these grid and time parameters, the total computational error (systematic and statistical) is less than 1% in all the computed cases. Here, the available analyses of the splitting scheme and domain discretization [22,23] suggest a first order systematic approximation error of (O(∆t, ∆r)), with respect to the Boltzmann equation. The statistical error [24] is estimated as O(1/ N T N p ).…”
Section: Direct Simulation Monte Carlo (Dsmc)mentioning
confidence: 99%
“…The number of particles required is heavily influenced by the choice of collision model, and it is well-known that the majorant frequency scheme can use fewer particles than the no time-counter-method 140 (NTC). Recent work has focused on reducing the number of particles required even further [32] using novel collision partner selection schemes. dsmcF oam uses the NTC method, so requires a reasonably large number of particles in order to recover the collision statistics.…”
Section: Code Sensitivitymentioning
confidence: 99%
“…Different schemes for performing collision rates have been developed and applied in the DSMC method [11,12,18,19]. These schemes infer, in a given time step, the correct number of representative collisions from pairs of particles selected randomly within each cell.…”
Section: Dsmc Algorithmmentioning
confidence: 99%
“…Among these schemes, the No-TimeCounter (NTC) method and the Simplified Bernoulli-Trials (SBT) could be mentioned. [11,12] In the SBT algorithm, the particles in the lth cell are locally indexed in order to form a particle list numbered as 1 . .…”
Section: Dsmc Algorithmmentioning
confidence: 99%
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