KMS Of Academy of mathematics and systems sciences, CAS
| Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains | |
| Wang, Yunchu; Yuan, Li1 | |
| 2021-11-01 | |
| Source Publication | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| ISSN | 2079-7362 |
| Volume | 11Issue:4Pages:708-731 |
| Abstract | The iterative convergence of the upwind compact finite difference scheme for the artificial compressibility method [A. Shah et al., A third-order upwind compact scheme on curvilinear meshes for the incompressible Navier-Stokes equations, Commun. Comput. Phys. 5 (2009)] is studied. It turns out that for steady flows in enclosed domains the residuals do not converge to machine zero. The reason is a non-uniqueness of the calculated pressure in the case where Neumann boundary conditions for the pressure are imposed on all boundaries. The problem can be fixed by modifying the derivatives of mass flux obtained from the upwind compact scheme to satisfy the global mass conservation constraint. Numerical tests show that with this modification the scheme converges to machine zero with the original third-order accuracy. |
| Keyword | Incompressible Navier-Stokes equations artificial compressibility upwind compact difference convergence enclosed domain |
| DOI | 10.4208/eajam.281120.060421 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Natural Science Foundation of China[91641107] ; Natural Science Foundation of China[91852116] ; Natural Science Foundation of China[12071470] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000750799600004 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59948 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yuan, Li |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Yunchu,Yuan, Li. Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2021,11(4):708-731. |
| APA | Wang, Yunchu,&Yuan, Li.(2021).Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,11(4),708-731. |
| MLA | Wang, Yunchu,et al."Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS 11.4(2021):708-731. |
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