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

Publication ,  Journal Article
Goudon, T; Jin, S; Liu, JG; Yan, B
Published in: International Journal for Numerical Methods in Fluids
May 20, 2014

We are concerned with a coupled system describing the interaction between suspended particles and a dense fluid. The particles are modeled by a kinetic equation of Vlasov-Fokker-Planck type, and the fluid is described by the incompressible Navier-Stokes system, with variable density. The systems are coupled through drag forces. High friction regimes lead to a purely hydrodynamic description of the mixture. We design first and second order asymptotic-preserving schemes suited to such regimes. We extend the method introduced in [Goudon T, Jin S, Liu JG, Yan B. Journal of Computational Physics 2013; 246:145-164] to the case of variable density in compressible flow. We check the accuracy and the asymptotic-preserving property numerically. We set up a few numerical experiments to demonstrate the ability of the scheme in capturing intricate interactions between the two phases on a wide range of physical parameters and geometric situations. © 2014 John Wiley & Sons, Ltd.

Duke Scholars

Published In

International Journal for Numerical Methods in Fluids

DOI

EISSN

1097-0363

ISSN

0271-2091

Publication Date

May 20, 2014

Volume

75

Issue

2

Start / End Page

81 / 102

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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ICMJE
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Goudon, T., Jin, S., Liu, J. G., & Yan, B. (2014). Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density. International Journal for Numerical Methods in Fluids, 75(2), 81–102. https://doi.org/10.1002/fld.3885
Goudon, T., S. Jin, J. G. Liu, and B. Yan. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density.” International Journal for Numerical Methods in Fluids 75, no. 2 (May 20, 2014): 81–102. https://doi.org/10.1002/fld.3885.
Goudon T, Jin S, Liu JG, Yan B. Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density. International Journal for Numerical Methods in Fluids. 2014 May 20;75(2):81–102.
Goudon, T., et al. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density.” International Journal for Numerical Methods in Fluids, vol. 75, no. 2, May 2014, pp. 81–102. Scopus, doi:10.1002/fld.3885.
Goudon T, Jin S, Liu JG, Yan B. Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density. International Journal for Numerical Methods in Fluids. 2014 May 20;75(2):81–102.
Journal cover image

Published In

International Journal for Numerical Methods in Fluids

DOI

EISSN

1097-0363

ISSN

0271-2091

Publication Date

May 20, 2014

Volume

75

Issue

2

Start / End Page

81 / 102

Related Subject Headings

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