A comparative study of no-time-counter and majorant collision frequency numerical schemes in DSMC
Ayyaswamy Venkattraman,Alina Alexeenko,Michael A. Gallis,Mikhail Ivanov +3 more
- Vol. 1501, Iss: 1, pp 489-495
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In this article, the authors compare and contrast two O(N) collision schemes -no-time-counter (NTC) and majorant collision frequency (MCF) -with the goal of identifying the fundamental differences.Abstract:
The direct simulation Monte Carlo (DSMC) method is a stochastic approach to solve the Boltzmann equation and is built on various numerical schemes for transport, collision and sampling. This work aims to compare and contrast two popular O(N) DSMC collision schemes - no-time-counter (NTC) and majorant collision frequency (MCF) - with the goal of identifying the fundamental differences. MCF and NTC schemes are used in DSMC simulations of a spatially homogeneous equilibrium gas to study convergence with respect to various collision parameters. While the MCF scheme forces the reproduction of the exponential distribution of time between collisions, the NTC scheme requires larger number of simulators per cell to reproduce this Poisson process. The two collision schemes are also applied to the spatially homogeneous relaxation from an isotropic non-Maxwellian given by the Bobylev exact solution to the Boltzmann equation. While the two schemes produce identical results at large times, the initial relaxation shows some differences during the first few timesteps.read more
Citations
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Journal ArticleDOI
Direct methods for solving the Boltzmann equations: Comparisons with direct simulation Monte Carlo and possibilities
TL;DR: The possibilities of direct methods for solving the Boltzmann equation in comparison with direct simulation Monte Carlo are discussed in this paper, in particular from the point of view of application of different variants of discretization in phase space.
Dissertation
Modeling of shock boundary layer interactions and stability analysis using particle approaches
TL;DR: In this paper, the direct simulation Monte Carlo (DSMC) method was used for modeling shock dominated separated hypersonic flows at Mach 7 for a unit Reynolds number of 4.15 × 10 m previously studied in the Hypervelocity Expansion Tube (HET) over a double wedge configuration to investigate the impacts of thermochemical effects on SWBLIs by changing the chemical composition.
Proceedings ArticleDOI
DSMC-SPARTA implementation of majorant collision frequency scheme
TL;DR: In this article, the authors implement the majorant collision frequency (MCF) scheme in SPARTA, an open source direct simulation Monte Carlo (DSMC) solver.
Journal ArticleDOI
Impact of Stagnation Temperature and Nozzle Configuration on Rarefied Jet Plume Interactions
TL;DR: In this article , a simulation matrix is carried out for a sonic nozzle using the direct simulation Monte Carlo method with the dsmcFoam+ code to gain a better understanding of the effect of nozzle configurations and conditions on the plume-plume and plume surface interactions.
Dissertation
Micro-vélocimétrie par marquage moléculaire adaptée aux écoulements gazeux confinés
TL;DR: In this article, an adaptation of la technique de velocimetrie par marquage moleculaire (MTV) aux micro-ecoulements gazeux is presented, which permits dextraire le profil de vitesse a partir de l'analyse du deplacement and de la deformation de la zone marquee, en prenant en compte la diffusion des molecules luminescentes.
References
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Book
Molecular Gas Dynamics and the Direct Simulation of Gas Flows
TL;DR: The direct simulation Monte Carlo (or DSMC) method has, in recent years, become widely used in engineering and scientific studies of gas flows that involve low densities or very small physical dimensions as mentioned in this paper.
Proceedings ArticleDOI
Statistical simulation of reactive rarefied flows - Numerical approach and applications
Direct statistical simulation method and master kinetic equation
TL;DR: In this paper, the majorant frequency (MFF) method is proposed for the simulation of rarefied gas flows. But the main difference is that it requires a large number of sampling particles.
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