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unified gas-kinetic wave-particle methods VI:Disperse Dilute gas-particle Multiphase Flow

Communications in Computational Physics 2022年第3期31卷 669-706页

作者： Xiaojian Yang Chang Liu Xing Ji Wei Shyy Kun Xu Department of Mechanical and Aerospace Engineering Hong Kong University of Science and TechnologyClear Water BayKowloonHong KongChina Institute of Applied Physics and Computational Mathematics BeijingChina Department of Mathematics Hong Kong University of Science and TechnologyClear Water BayKowloonHong KongChina Guangdong-Hong Kong-Macao Joint Laboratory for Data-Driven Fluid Mechanics and Engineering Applications Hong Kong University of Science and TechnologyHong KongChina Shenzhen Research Institute Hong Kong University of Science and TechnologyShenzhenChina

A coupled gas-kinetic scheme(GKS)and unified gas-kinetic wave-particle(UGKWP)method for the disperse dilute gas-particle multiphaseflow is *** the two-phaseflow,the gas phase is always in the hydrodynamic regime and is fol-lowed by GKS for the Navier-Stokes *** particle phase is solved by UGKWP in all regimes from particle trajectory crossing to the hydrodynamic wave interac-tion with the variation of particle’s Knudsen *** the intensive particle colli-sion regime,the UGKWP gives a hydrodynamic wave representation for the particle phase and the GKS-UGKWP for the two-phaseflow reduces to the two-fluid Eulerian-Eulerian(EE)*** the rarefied regime,the UGKWP tracks individual particle and the GKS-UGKWP goes back to the Eulerian-Lagrangian(EL)*** the tran-sition regime for the solid particle,the GKS-UGKWP takes an optimal choice for the wave and particle decomposition for the solid particle phase and connects the EE and EL methods *** GKS-UGKWP method will be tested in allflow regimes with a large variation of Knudsen number for the solid particle transport and Stokes number for the two-phase *** is confirmed that GKS-UGKWP is an efficient and accurate multiscale method for the gas-particle two-phaseflow.

关键词： unified gas-kinetic wave-particle method gas-kinetic scheme disperse gas-particle two-phaseflow.

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unified gas-kinetic wave-particle methods IV: multi-species gas mixture and plasma transport

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Advances in Aerodynamics 2021年第1期3卷 186-216页

作者： Chang Liu Kun Xu Department of Mathematics Hong Kong University of Science and TechnologyHong KongChina Institute of Applied Physics and Computational Mathematics Beijing 100088China Shenzhen Research Institute Hong Kong University of Science and TechnologyShenzhen 518057China.

In this paper,we extend the unified gas-kinetic wave-particle(UGKWP)methods to the multi-species gas mixture and multiscale plasma *** construction of the scheme is based on the direct modeling on the mesh size and time step scales,and the local cell’s Knudsen number determines the flow *** proposed scheme has the multiscale and asymptotic complexity diminishing *** multiscale property means that according to the cell’s Knudsen number the scheme can capture the non-equilibrium flow physics when the cell size is on the kinetic mean free path scale,and preserve the asymptotic Euler,Navier-Stokes,and magnetohydrodynamics(MHD)when the cell size is on the hydrodynamic scale and is much larger than the particle mean free *** asymptotic complexity diminishing property means that the total degrees of freedom of the scheme reduce automatically with the decreasing of the cell’s Knudsen *** the continuum regime,the scheme automatically degenerates from a kinetic solver to a hydrodynamic *** the UGKWP,the evolution of microscopic velocity distribution is coupled with the evolution of macroscopic variables,and the particle evolution as well as the macroscopic fluxes is modeled from a time accumulating solution of kinetic scale particle transport and collision up to a time step *** plasma transport,the current scheme provides a smooth transition from particle-in-cell(PIC)method in the rarefied regime to the magnetohydrodynamic solver in the continuum *** the continuum limit,the cell size and time step of the UGKWP method are not restricted by the particle mean free path and mean collision *** the highly magnetized regime,the cell size and time step are not restricted by the Debye length and plasma cyclotron *** multiscale and asymptotic complexity diminishing properties of the scheme are verified by numerical tests in multiple flow regimes.

关键词： unified gas-kinetic wave-particle method Multiscale modeling gas mixture Plasma transport

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