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Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows

Publication ,  Journal Article
Goudon, T; Jin, S; Liu, JG; Yan, B
Published in: Journal of Computational Physics
August 1, 2013

We consider a system coupling the incompressible Navier-Stokes equations to the Vlasov-Fokker-Planck equation. Such a problem arises in the description of particulate flows. We design a numerical scheme to simulate the behavior of the system. This scheme is asymptotic-preserving, thus efficient in both the kinetic and hydrodynamic regimes. It has a numerical stability condition controlled by the non-stiff convection operator, with an implicit treatment of the stiff drag term and the Fokker-Planck operator. Yet, consistent to a standard asymptotic-preserving Fokker-Planck solver or an incompressible Navier-Stokes solver, only the conjugate-gradient method and fast Poisson and Helmholtz solvers are needed. Numerical experiments are presented to demonstrate the accuracy and asymptotic behavior of the scheme, with several interesting applications. © 2013 Elsevier Inc.

Duke Scholars

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

August 1, 2013

Volume

246

Start / End Page

145 / 164

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Goudon, T., Jin, S., Liu, J. G., & Yan, B. (2013). Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Journal of Computational Physics, 246, 145–164. https://doi.org/10.1016/j.jcp.2013.03.038
Goudon, T., S. Jin, J. G. Liu, and B. Yan. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows.” Journal of Computational Physics 246 (August 1, 2013): 145–64. https://doi.org/10.1016/j.jcp.2013.03.038.
Goudon T, Jin S, Liu JG, Yan B. Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Journal of Computational Physics. 2013 Aug 1;246:145–64.
Goudon, T., et al. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows.” Journal of Computational Physics, vol. 246, Aug. 2013, pp. 145–64. Scopus, doi:10.1016/j.jcp.2013.03.038.
Goudon T, Jin S, Liu JG, Yan B. Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. Journal of Computational Physics. 2013 Aug 1;246:145–164.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

August 1, 2013

Volume

246

Start / End Page

145 / 164

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences