A hybrid kinetic WENO scheme for inviscid and viscous flows | |
Liu HW(刘洪伟) | |
Source Publication | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS |
2015-10-30 | |
Volume | 79Issue:6Pages:290-305 |
ISSN | 0271-2091 |
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. |
Keyword | Weno Schemes Kinetic Numerical Fluxes Numerical Dissipations |
DOI | 10.1002/fld.4052 |
URL | 查看原文 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000362451500002 |
WOS Keyword | Essentially Nonoscillatory Schemes ; Navier-stokes Equations ; Shock-capturing Schemes ; Efficient Implementation ; Bgk Scheme ; Simulation |
WOS Research Area | Computer Science ; Mathematics ; Mechanics ; Physics |
WOS Subject | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
Department | LHD可压缩湍流 |
Classification | Q3 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/58401 |
Collection | 高温气体动力学国家重点实验室 |
Corresponding Author | Liu 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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