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| Solver of three-dimensional Navier-Stokes equations based on the fully implicit unfactored algorithm |
| Received:March 12, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20092018 |
| KeyWord:Navier-Stokes equations implicit unfactored method multiblock grid |
| Author | Institution |
| 司海青 |
南京航空航天大学 民航飞行学院 飞行技术系,南京 |
| 王同光 |
南京航空航天大学 航空宇航学院 空气动力系,南京 |
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| Abstract: |
| A fully implicit unfactored algorithm of three-dimensional N-S equations is developed and tested on multi-block curvilinear meshes. The convective terms are discretized using Roe scheme; the viscous terms are discretized using a center scheme. The large-scale sparse linear system arising from each implicit time step is solved by GMRES method combined with the block incomplete lower-upper preconditioner. In order to reduce memory requirements and matrix-vector operation counts, an approximate method for the derivation of Jacobian matrix is applied in the present work, which counts to a half of the values using the exact Jacobian matrix. Comparison of numerical results is made with experimental data and good agreement between them is achieved, demonstrating that the implicit algorithm presented in the paper is effective and efficient. |
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