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A hybrid kinetic WENO scheme for inviscid and viscous flows
Liu HW(刘洪伟)
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2015-10-30
Volume79Issue:6Pages:290-305
ISSN0271-2091
Abstract

In this paper, we propose a high-order finite volume hybrid kinetic Weighted Essentially Non-Oscillatory (WENO) scheme for inviscid and viscous flows. Based on the WENO reconstruction technique, a hybrid kinetic numerical flux is introduced for the present method, which includes the mechanisms of both the free transfer and the collision of gas molecules. The collisionless free transfer part of the hybrid numerical flux is constructed from the conventional kinetic flux vector splitting treatment, and the collision contribution is considered by constructing an equilibrium gas state and calculating the corresponding numerical flux at the cell interface. The total variation diminishing Runge-Kutta methods are used for the temporal integration. The high-order accuracy and good shock-capturing capability of the proposed hybrid kinetic WENO scheme are validated by many numerical examples in one-dimensional and two-dimensional cases. Copyright (C) 2015 John Wiley & Sons, Ltd.

KeywordWeno Schemes Kinetic Numerical Fluxes Numerical Dissipations
DOI10.1002/fld.4052
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000362451500002
WOS KeywordEssentially Nonoscillatory Schemes ; Navier-stokes Equations ; Shock-capturing Schemes ; Efficient Implementation ; Bgk Scheme ; Simulation
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
DepartmentLHD可压缩湍流
ClassificationQ3
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58401
Collection高温气体动力学国家重点实验室
Corresponding AuthorLiu HW(刘洪伟)
Recommended Citation
GB/T 7714
Liu HW. A hybrid kinetic WENO scheme for inviscid and viscous flows[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2015,79(6):290-305.
APA Liu HW.(2015).A hybrid kinetic WENO scheme for inviscid and viscous flows.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,79(6),290-305.
MLA Liu HW."A hybrid kinetic WENO scheme for inviscid and viscous flows".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 79.6(2015):290-305.
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