Name
Title | ||
|---|---|---|
Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo |
Abstract | ||
|---|---|---|
In the present work, we present a novel numerical algorithm to couple the Direct Simulation Monte Carlo method (DSMC) for the solution of the Boltzmann equation with a finite volume like method for the solution of the Euler equations. Recently we presented in [14,16,17] different methodologies which permit to solve fluid dynamics problems with localized regions of departure from thermodynamical equilibrium. The methods rely on the introduction of buffer zones which realize a smooth transition between the kinetic and the fluid regions. In this paper we extend the idea of buffer zones and dynamic coupling to the case of the Monte Carlo methods. To facilitate the coupling and avoid the onset of spurious oscillations in the fluid regions which are consequences of the coupling with a stochastic numerical scheme, we use a new technique which permits to reduce the variance of the particle methods [11]. In addition, the use of this method permits to obtain estimations of the breakdowns of the fluid models less affected by fluctuations and consequently to reduce the kinetic regions and optimize the coupling. In the last part of the paper several numerical examples are presented to validate the method and measure its computational performances. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2011.11.030 | J. Comput. Physics |
Keywords | Field | DocType |
boltzmann equation,direct simulation,multiscale problems,particle method,kinetic-fluid coupling,monte carlo method,buffer zone,stochastic numerical scheme,novel numerical algorithm,fluid region,fluid model,dynamic coupling,localized boltzmann,fluid dynamics problem,numerical example,fluid simulation,monte carlo methods.,smooth transition,direct simulation monte carlo,oscillations,monte carlo methods,fluid dynamics,kinetics,euler equation,finite volume,numerical analysis,thermodynamics | Statistical physics,Mathematical optimization,Boltzmann equation,Monte Carlo method,Coupling,Fluid dynamics,Boltzmann constant,Euler equations,Finite volume method,Physics,Direct simulation Monte Carlo | Journal |
Volume | Issue | ISSN |
231 | 6 | Journal of Computational Physics, 231 (2012), pp. 2414-2437 |
Citations | PageRank | References |
6 | 0.57 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pierre Degond | 1 | 251 | 43.75 |
| Giacomo Dimarco | 2 | 120 | 15.68 |