推导了可压缩流动旋涡动力学基本方程，并分析了其基本性质。如同不可压流动，在可压缩流动中旋涡同样具有场与物质两重特征。得出了可压缩流中的旋涡诱导速度公式，对Biot-Savart方程进行了可压缩修正。基于Lagrangian框架下的粒子方法，求解可压缩流中的胀量项，从而用离散涡模型求解了非定常、不稳定、可压缩流场。数值实验验证了提议的计算方法有效性。并分析了可压缩流动中旋涡运动的特征，与不可压流动的差别。
The Vortex Dynamics Equation is developed for compressible flow and its characteristics areanalyzed. As in the incompressible flow, the Field and Matter Bicharacteristics of Vortex alsohave been demonstrated. The solution for the velocity inducedby the vortices is formulated and used to correct the Biot-Savart Equation. The Discrete Vortex Method for compressible flow is then proposed, in which the dilation term is solved by the Particle Method within the Lagrangian framework. As a numerical validation, the compressible flow past a cylinder is simulated. Based on the resultsthe characteristics of the vortices in compressible flow are analyzed.
参考文献
| [1] | Sarpkaya T .Computational Methods with Vortices-the 1988Freeman Scholar Lecture[J].Journal of Fluids Engineering,1989,111:5-52. |
| [2] | Wu wenquan;Sisto F.Vortex Simulation ofUnsteady Stall in a Cascade with Piecewise Linearization andRecorrection Technique[M].Numerical Methods in Laminar and TurbulentFlow.Edited by C Taylor et al.Pineridge Press,1987:686-1697. |
| [3] | Sisto F;Wu Wenquan et al.Computational Aerodynamics ofOscillating Cascades with the Evolution of Stall[J].AIAA Journal,1989,27(04) |
| [4] | Wenquan Wu;F Sisto.Numerical Simulation forAero- elasticity in Turbomachines with Vortex Method[M].39th International Gas Turbine and Aero-EngineCongress ASME. Paper 94-GT-410 Hague Holland,1994 |
| [5] | 吴文权 .旋涡的场特征与物质性-离散涡方法基础[J].工程热物理学报,1996,17(03):301-304. |
| [6] | 叶春明;吴文权 .数值模拟园柱绕流旋涡运动及尾流不稳定性分析[J].工程热物理学报,1997,18(02):169-172. |
| [7] | 吴文权;郭少为 .非定常空气流场中污染气体的对流与粘性扩散[J].工程热物理学报,1998,19(02):158-163. |
| [8] | 吴文权;黄远东 .液固两相流动中旋涡对固体粒子运动影响的数值研究[J].工程热物理学报,1999,20(03):365-369. |
| [9] | Ju Jiangning;Wu Wenquan.A New DiscreteVortex Method for Compressible Flow[A].Shenzhen,1999:494-497. |
| [10] | Yoshifumi Ogami;Hiroki Inaba et al.ParticleMethod for Isentropic Compressible Flow Simulation[J].Computational Fluid Dynamics Journal,1996,5(03):341-360. |
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