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

Goudon, Thierry; Jin, Shi; Liu, Jian-Guo; Yan, Bokai

Document type :

Pré-publication ou Document de travail

Title :

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

Author(s) :

Goudon, Thierry [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Jin, Shi [Auteur]
Liu, Jian-Guo [Auteur]
Duke Physics
Yan, Bokai [Auteur]

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

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 ...
Show more >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 Pois- sion and Helmholtz solvers are needed. Numerical experiments are presented to demonstrate the accuracy and asymptotic behavior of the schemes, with several interesting applicationsShow less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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