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| On the application of the CBS finite element method to the incompressible flow |
| Received:August 27, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20105020 |
| KeyWord:CBS finite element method lid-driven cavity flow backward-facing step circular cylinder |
| Author | Institution |
| 孙旭 |
西安交通大学 能源与动力工程学院,西安 |
| 张家忠 |
西安交通大学 能源与动力工程学院,西安 |
| 周志宏 |
西安交通大学 能源与动力工程学院,西安 |
| 徐忠 |
西安交通大学 能源与动力工程学院,西安 |
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| Abstract: |
| A finite element method for the incompressible flow, the Characteristic-Based Split (CBS) algorithm, is presented in this paper. First, the convective term of the incompressible Navier-Stokes (NS) equation is eliminated via a coordinate transformation, and then the calculation procedure of CBS algorithm is presented. Combined with a type of outflow boundary condition, typical problems of the incompressible flow including the lid-driven flow in a square cavity, flow over a backward-facing step and the flow past a circular cylinder are calculated. Numerical results from CBS are compared with the benchmark solutions, and a good agreement is achieved. Especially, for the flow past a circular cylinder at Re=100, a good simulation of the unsteady phenomena such as the oscillatory coefficients of lift and drag and the vortex shedding are achieved, which lays a solid foundation for the further study of flow problems such as the flow-induced vibration. |
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