On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations
文献类型：期刊论文
| 作者 | Huang, LC |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2002 |
| 卷号 | 20期号:1页码:35-56 |
| 关键词 | differential algebraic equations discrete projection numerical boundary conditions |
| ISSN号 | 0254-9409 |
| 英文摘要 | The unsteady incompressible Navier-Stokes equations are discretized in space and studied on the fixed mesh as a system of differential algebraic equations. With discrete projection defined, the local errors of Crank Nicholson schemes with three projection methods are derived in a straightforward manner. Then the approximate factorization of relevant matrices are used to study the time accuracy with more detail, especially at points adjacent to the boundary. The effects of numerical boundary conditions for the auxiliary velocity and the discrete pressure Poisson equation on the time accuracy are also investigated. Results of numerical experiments with an analytic example confirm the conclusions of our analysis. |
| 语种 | 英语 |
| WOS记录号 | WOS:000173483600004 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17555]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, LC. On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2002,20(1):35-56. |
| APA | Huang, LC.(2002).On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations.JOURNAL OF COMPUTATIONAL MATHEMATICS,20(1),35-56. |
| MLA | Huang, LC."On discrete projection and numerical boundary conditions for the numerical solution of the unsteady incompressible Navier-Stokes equations".JOURNAL OF COMPUTATIONAL MATHEMATICS 20.1(2002):35-56. |
入库方式： OAI收割
来源：数学与系统科学研究院
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