Consistent projection methods for variable density incompressible navier-stokes equations with continuous surface forces on a rectangular collocated mesh
文献类型：期刊论文
| 作者 | Ni, Ming-Jiu |
| 刊名 | Journal of computational physics
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 228期号:18页码:6938-6956 |
| 关键词 | Consistent projection method Divergence-free velocity Variable density navier-stokes equations Surface tension Pressure gradient |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2009.06.004 |
| 通讯作者 | Ni, ming-jiu(mjni@gucas.ac.cn) |
| 英文摘要 | Two consistent projection methods of second-order temporal and spatial accuracy have been developed on a rectangular collocated mesh for variable density navier-stokes equations with a continuous surface force. instead of the original projection methods (denoted as algorithms i and 11 in this paper), in which the updated cell center velocity from the intermediate velocity and the pressure gradient is not guaranteed solenoidal, the consistent projection methods (denoted as algorithms iii and iv) obtain the cell center velocity based on an interpolation from a conservative fluxes with velocity unit on surrounding cell faces. dependent on treatment of the continuous surface force, the pressure gradient in algorithm iii or the sum of the pressure gradient and the surface force in algorithm iv at a cell center is then conducted from the difference between the updated velocity and the intermediate velocity in a consistent projection method. a non-viscous 3d static drop with serials of density ratios is numerically simulated. using the consistent projection methods, the spurious currents can be greatly reduced and the pressure jump across the interface can be accurately captured without oscillations. the developed consistent projection method are also applied for simulation of interface evolution of an initial ellipse driven by the surface tension and of an initial sphere bubble driven by the buoyancy with good accuracy and good resolution. (c) 2009 elsevier inc. all rights reserved. |
| WOS关键词 | MAGNETIC REYNOLDS-NUMBER ; OF-FLUID METHOD ; FRONT-TRACKING ; ACCURATE REPRESENTATION ; CONSERVATIVE SCHEME ; MHD FLOWS ; LEVEL SET ; VOLUME ; TENSION ; COMPUTATIONS |
| WOS研究方向 | Computer Science ; Physics |
| WOS类目 | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| 语种 | 英语 |
| WOS记录号 | WOS:000269375000016 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2400997 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Ni, Ming-Jiu |
| 作者单位 | Chinese Acad Sci, Grad Univ, Coll Phys Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ni, Ming-Jiu. Consistent projection methods for variable density incompressible navier-stokes equations with continuous surface forces on a rectangular collocated mesh[J]. Journal of computational physics,2009,228(18):6938-6956. |
| APA | Ni, Ming-Jiu.(2009).Consistent projection methods for variable density incompressible navier-stokes equations with continuous surface forces on a rectangular collocated mesh.Journal of computational physics,228(18),6938-6956. |
| MLA | Ni, Ming-Jiu."Consistent projection methods for variable density incompressible navier-stokes equations with continuous surface forces on a rectangular collocated mesh".Journal of computational physics 228.18(2009):6938-6956. |
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来源：中国科学院大学
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