抄録
A new upwind finite element scheme for the incompressible Navier-Stokes equations at high Reynolds number is presented. The idea of the upwind technique is based on the choice of upwind and downwind points. This scheme can approximate the convection term to third-order accuracy when these points are located at suitable positions. From the practical viewpoint of computation, the algorithm of the pressure Poisson equation procedure is adopted in the framework of the finite element method. Numerical results of flow problems in a cavity and past a circular cylinder excellent dependene of solutions on the Reynolds number. The influence of rounding errors causing Karman vortex shedding is also discussed in the latter problem.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 305-322 |
| ページ数 | 18 |
| ジャーナル | International Journal for Numerical Methods in Fluids |
| 巻 | 12 |
| 号 | 4 |
| 出版ステータス | Published - 1991 1月 1 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 計算理論と計算数学
- コンピュータ サイエンスの応用
- 計算力学
- 材料力学
- 安全性、リスク、信頼性、品質管理
- 応用数学
- 凝縮系物理学