Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh
文献类型：期刊论文
| 作者 | Huang, LC |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2000-09-01 |
| 卷号 | 18期号:5页码:521-540 |
| 关键词 | unsteady incompressible Navier-Stokes equations curvilinear half-staggered mesh discrete projection |
| ISSN号 | 0254-9409 |
| 英文摘要 | In this paper, the Crank-Nicholson + component-consistent pressure correction method for the numerical solution of the unsteady incompressible Navier-Stokes equation of [1] on the rectangular half-staggered mesh has been extended to the curvilinear half-staggered mesh. The discrete projection, both for the projection step in the solution procedure and for the related differential-algebraic equations, has been carefully studied and verified. It is proved that the proposed method is also unconditionally (in Delta t) nonlinearly stable on the curvilinear mesh, provided the mesh is not too skewed. It is seen that for problems with an outflow boundary, the half-staggered mesh is especially;advantageous. Results of preliminary numerical experiments support these claims. |
| 语种 | 英语 |
| WOS记录号 | WOS:000089333200007 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15283]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, LC. Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(5):521-540. |
| APA | Huang, LC.(2000).Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(5),521-540. |
| MLA | Huang, LC."Numerical solution of the unsteady incompressible Navier-Stokes equations on the curvilinear half-staggered mesh".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.5(2000):521-540. |
入库方式： OAI收割
来源：数学与系统科学研究院
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