Math @ Duke

Publications [#246869] of JianGuo Liu
Papers Published
 Goudon, T; Jin, S; Liu, JG; Yan, B, Asymptoticpreserving schemes for kineticfluid modeling of disperse twophase flows,
Journal of Computational Physics, vol. 246
(August, 2013),
pp. 145164, Elsevier BV, ISSN 00219991 [doi]
(last updated on 2019/06/17)
Abstract: We consider a system coupling the incompressible NavierStokes equations to the VlasovFokkerPlanck 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 asymptoticpreserving, thus efficient in both the kinetic and hydrodynamic regimes. It has a numerical stability condition controlled by the nonstiff convection operator, with an implicit treatment of the stiff drag term and the FokkerPlanck operator. Yet, consistent to a standard asymptoticpreserving FokkerPlanck solver or an incompressible NavierStokes solver, only the conjugategradient 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.


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