A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields
文献类型：期刊论文
| 作者 | Tian, C. T.; Xu, K.; Chan, K. L.; Deng, L. C. |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2007-10-01 |
| 卷号 | 226期号:2页码:2003-2027 |
| 关键词 | gas-kinetic scheme Navier-Stokes equations gravitational field compressible convection |
| 英文摘要 | This paper extends the gas-kinetic scheme for one-dimensional inviscid shallow water equations (K. Xu, A well-balanced gas-kinetic scheme for the shallow-water equations with source terms, J. Comput. Phys. 178 (2002) 533-562) to multidimensional gas dynamic equations under gravitational fields. Four important issues in the construction of a well-balanced scheme for gas dynamic equations are addressed. First, the inclusion of the gravitational source term into the flux function is necessary. Second, to achieve second-order accuracy of a well-balanced scheme, the Chapman-Enskog expansion of the Boltzmann equation with the inclusion of the external force term is used. Third, to avoid artificial heating in an isolated system under a gravitational field, the source term treatment inside each cell has to be evaluated consistently with the flux evaluation at the cell interface. Fourth, the multidimensional approach with the inclusion of tangential gradients in two-dimensional and three-dimensional cases becomes important in order to maintain the accuracy of the scheme. Many numerical examples are used to validate the above issues, which include the comparison between the solutions from the current scheme and the Strang splitting method. The methodology developed in this paper can also be applied to other systems, such as semi-conductor device simulations under electric fields. (c) 2007 Elsevier Inc. All rights reserved. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000250209700041 |
| 源URL | [http://ir.bao.ac.cn/handle/114a11/7178]  |
| 专题 | 国家天文台_光学天文研究部 |
| 作者单位 | 1.Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R China 2.Chinese Acad Sci, Natl Astron Observ, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tian, C. T.,Xu, K.,Chan, K. L.,et al. A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2007,226(2):2003-2027. |
| APA | Tian, C. T.,Xu, K.,Chan, K. L.,&Deng, L. C..(2007).A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields.JOURNAL OF COMPUTATIONAL PHYSICS,226(2),2003-2027. |
| MLA | Tian, C. T.,et al."A three-dimensional multidimensional gas-kinetic scheme for the Navier-Stokes equations under gravitational fields".JOURNAL OF COMPUTATIONAL PHYSICS 226.2(2007):2003-2027. |
入库方式： OAI收割
来源：国家天文台
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