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• W2585226769 abstract "In this paper we consider a kinetic-fluid model for disperse two-phase flows with uncertainty. We propose a stochastic asymptotic-preserving (s-AP) scheme in the generalized polynomial chaos stochastic Galerkin (gPC-sG) framework, which allows the efficient computation of the problem in both kinetic and hydrodynamic regimes. The s-AP property is proved by deriving the equilibrium of the gPC version of the Fokker–Planck operator. The coefficient matrices that arise in a Helmholtz equation and a Poisson equation, essential ingredients of the algorithms, are proved to be positive definite under reasonable and mild assumptions. The computation of the gPC version of a translation operator that arises in the inversion of the Fokker–Planck operator is accelerated by a spectrally accurate splitting method. Numerical examples illustrate the s-AP property and the efficiency of the gPC-sG method in various asymptotic regimes." @default.
• W2585226769 created "2017-02-10" @default.
• W2585226769 creator A5009937786 @default.
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• W2585226769 date "2017-04-01" @default.
• W2585226769 modified "2023-10-17" @default.
• W2585226769 title "A stochastic asymptotic-preserving scheme for a kinetic-fluid model for disperse two-phase flows with uncertainty" @default.
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• W2585226769 doi "https://doi.org/10.1016/j.jcp.2017.01.059" @default.
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