| UNIFIED COMPUTATION OF FLOW WITH COMPRESSIBLE AND INCOMPRESSIBLE FLUID BASED ON ROE＇S SCHEME |
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| 引用本文： | 黄典贵.UNIFIED COMPUTATION OF FLOW WITH COMPRESSIBLE AND INCOMPRESSIBLE FLUID BASED ON ROE＇S SCHEME[J].应用数学和力学(英文版),2006,27(6):757-763. |
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| 作者姓名： | 黄典贵 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China（No.50576049）, the Foundational Scientific Research of National Defence of China（No.A4020060263） and Shanghai Leading Academic Discipline Project（No.Y0103） Acknowledgements Part of the study was conducted in the CFD lab. of University of Miami. The project has been supported by the Florida Space Grant Consortium. The author also would like to thank Dr. Gecheng Zha for his help. |
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| 摘 要： | A unified numerical scheme for the solutions of the compressible and incompressible Navier-Stokes equations is investigated based on a time-derivative preconditioning algorithm. The primitive variables are pressure, velocities and temperature. The time integration scheme is used in conjunction with a finite volume discretization. The preconditioning is coupled with a high order implicit upwind scheme based on the definition of a Roe＇s type matrix. Computational capabilities are demonstrated through computations of high Mach number, middle Mach number, very low Mach number, and incompressible flow. It has also been demonstrated that the discontinuous surface in flow field can be captured for the implementation Roe＇s scheme.
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| 关 键 词： | 流场 预处理 可压缩流体 不可压缩流体 时间整合 |
| 收稿时间： | 2004-08-17 |
| 修稿时间： | 2006-02-20 |
Unified computation of flow with compressible and incompressible fluid based on roe’s scheme |
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| Dian-gui Huang Doctor.Unified computation of flow with compressible and incompressible fluid based on roe’s scheme[J].Applied Mathematics and Mechanics(English Edition),2006,27(6):757-763. |
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| Authors: | Dian-gui Huang Doctor |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | A unified numerical scheme for the solutions of the compressible and incompressible Navier-Stokes equations is investigated
based on a time-derivative preconditioning algorithm. The primitive variables are pressure, velocities and temperature. The
time integration scheme is used in conjunction with a finite volume discretization. The preconditioning is coupled with a
high order implicit upwind scheme based on the definition of a Roe’s type matrix. Computational capabilities are demonstrated
through computations of high Mach number, middle Mach number, very low Mach number, and incompressible flow. It has also been
demonstrated that the discontinuous surface in flow field can be captured for the implementation Roe’s scheme.
Project supported by the National Natural Science Foundation of China(No.50576049), the Foundational Scientific Research of
National Defence of China(No.A4020060263) and Shanghai Leading Academic Discipline Project(No.Y0103) |
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| Keywords: | flow field preconditioning compressible fluid incompressible fluid |
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