| 隐式格式求解拟压缩性非定常不可压Navier-Stokes方程 |
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| 引用本文： | 白鹏,崔尔杰,周伟江,李锋.隐式格式求解拟压缩性非定常不可压Navier-Stokes方程[J].计算物理,2005,22(5):386-392. |
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| 作者姓名： | 白鹏 崔尔杰 周伟江 李锋 |
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| 作者单位： | 中国航天空气动力技术研究院,北京,100074;中国航天空气动力技术研究院,北京,100074;中国航天空气动力技术研究院,北京,100074;中国航天空气动力技术研究院,北京,100074 |
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| 摘 要： | 采用Rogers发展的双时间步拟压缩方法,数值求解不可压非定常问题.数值通量分别采用三阶精度Roe格式和二阶精度Harten-Yee的TVD格式离散.为了加快收敛,提高求解效率,试验了几种隐式格式(ADI-LU,LGS,LU-SGS).针对经典的低雷诺数(Re=200)圆柱绕流问题,比较了不同隐式方法的计算结果和求解效率,以及两种数值离散格式计算结果的异同.最后采用Roe格式数值求解了两种典型的低速非定常流动问题:绕转动圆柱(ω=1)低雷诺数流动;NACA0015翼型等速拉起数值模拟.
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| 关 键 词： | 隐式格式 低雷诺数 拟压缩方法 不可压方程 |
| 文章编号： | 1001-246X（2005）05-0386-07 |
| 收稿时间： | 2004-05-20 |
| 修稿时间： | 2004-10-29 |
An Implicit Method for the Pseudo-Compressibility Incompressible Navier-Stokes Equation |
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| BAI Peng,CUI Er-jie,ZHOU Wei-jiang,LI Feng.An Implicit Method for the Pseudo-Compressibility Incompressible Navier-Stokes Equation[J].Chinese Journal of Computational Physics,2005,22(5):386-392. |
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| Authors: | BAI Peng CUI Er-jie ZHOU Wei-jiang LI Feng |
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| Institution: | China Academy of Aerospace Aerodynamics, Beijing 100074, China |
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| Abstract: | A pseudo-compressibility method developed by Rogers is used to solve the incompressible Navier-Stokes equation. Numerical flux is scattered through 3rd order Roe scheme and the 2nd order Harten-Yee TVD scheme separately. In order to accelerate convergence, several implicit methods(ADI-LU, LGS, LU-SGS) are accepted. Efficiency of different methods are shown as a classical flowfield around a cylinder in low Re(Re=200). Roe scheme is used to simulate two low speed unsteady problems:Low Re flowfield around a rotational cylinder(ω=1) and flowfield around a pitching NACA0015 airfoil with identical pitching rate. |
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| Keywords: | implicit scheme low Re pseudo-compressibility method incompressible Navier-Stokes equations |
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