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| A Runge-Kutta finite element algorithm based on the S-A turbulent model |
| Received:January 15, 2021 Revised:April 23, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210115002 |
| KeyWord:S-A equation RANS equation Runge-Kutta method finite element square cylinder iced conductor |
| Author | Institution |
| 曹鹏程 |
嘉兴学院 建筑工程学院, 嘉兴 |
| 廖绍凯 |
嘉兴学院 建筑工程学院, 嘉兴 ;河海大学 力学与材料学院, 南京 |
| 张研 |
河海大学 港口海岸与近海工程学院, 南京 |
| 陈达 |
河海大学 港口海岸与近海工程学院, 南京 |
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| Abstract: |
| In the numerical calculation of turbulence,in order to reduce the number of solved equations and save computational cost,one-equation Spalart-Allmaras model is used to close Reynolds-averaged N-S equation.The research on turbulent numerical algorithm is carried out.Firstly,RANS equation without the convection term is obtained by coordinate transformation along streamlines,and the third-order Runge-Kutta method is introduced to discretize it in time.Then the Taylor expansion along streamlines is used to overcome the difficulty of mesh updating caused by the coordinate transformation.Finally,based on the Galerkin space discretization,the finite element algorithm of turbulence model is obtained.The numerical simulations of flow past a square cylinder and flow past an iced conductor are performed.Compared with the experimental results,the effectiveness of this algorithm is verified.Compared with the first-order algorithms,this algorithm has more advantages in accuracy and convergence. |
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