| Title | A penalty finite volume method for the transient Navier-Stokes equations |
| Authors | He, Guoliang He, Yinnian Chen, Zhangxin |
| Affiliation | Univ Calgary, Schulich Sch Engn, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada. Xian Jiaotong Univ, Fac Sci, Xian 710049, Peoples R China. Xian Jiaotong Univ, Res Ctr Sci, Xian 710049, Peoples R China. Peking Univ, Coll Engn, Dept Energy & Resources Engn, Beijing, Peoples R China. Univ Calgary, Schulich Sch Engn, Dept Chem & Petr Engn, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada. |
| Keywords | Navier-Stokes equations Penalty finite volume method Inf-sup condition Backward Euler scheme Error estimate Numerical experiments ELEMENT-METHOD CONVERGENCE APPROXIMATION DIFFERENCE REGULARITY FLOW |
| Issue Date | 2008 |
| Publisher | applied numerical mathematics |
| Citation | APPLIED NUMERICAL MATHEMATICS.2008,58,(11),1583-1613. |
| Abstract | A fully discrete penalty finite volume method is introduced for the discretization of the two-dimensional transient Navier-Stokes equations. where the temporal discretization is based oil a backward Euler scheme and the spatial discretization is based on a finite volume scheme that uses a pair of P-2-P-0 trial functions oil triangles. This method allows us to efficiently separate the computation of velocity from that of pressure With reasonably large time steps. and conserves mass locally. In addition, error estimates of optimal order are obtained for the fully discrete method under reasonable assumptions oil temporal and spatial step sizes and the physical data. Finally. we present two numerical examples to illustrate file numerical algorithims developed and to show numerical results that agree with the theory established. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved. |
| URI | http://hdl.handle.net/20.500.11897/248435 |
| ISSN | 0168-9274 |
| DOI | 10.1016/j.apnum.2007.09.006 |
| Indexed | SCI(E) EI |
| Appears in Collections: | 工学院 |
