Asymptotic‐preserving schemes for kinetic–fluid modeling of disperse two‐phase flows with variable fluid density |
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| Authors: | Thierry Goudon Shi Jin Jian‐Guo Liu Bokai Yan |
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| Affiliation: | 1. Team COFFEE, INRIA Sophia Antipolis Méditerranée and Labo. J. A. Dieudonné UMR 6621 CNRS & Université Nice Sophia Antipolis, Nice, France;2. Department of Mathematics, Institute of Natural Sciences, and Ministry of Education Key Laboratory of Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai 200240, China;3. Department of Mathematics, University of Wisconsin‐Madison, Madison, USA;4. Department of Physics and Department of Mathematics, Duke University, Durham, USA;5. Department of Mathematics, University of California, Los Angeles, Los Angeles, USA |
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| Abstract: | 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. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | fluid– particles flows hydrodynamic regimes asymptotic‐preserving schemes kinetic‐fluid model variable density incompressible flow |
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