| 低马赫数流动中的预处理Euler方程的收敛特性 |
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| 引用本文： | 刘晨,王江峰,伍贻兆.低马赫数流动中的预处理Euler方程的收敛特性[J].航空学报,2009,30(5):842-848. |
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| 作者姓名： | 刘晨 王江峰 伍贻兆 |
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| 作者单位： | 南京航空航天大学 空气动力学系 |
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| 基金项目： | 国家自然科学基金(90716013) |
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| 摘 要： | 对预处理后Euler方程在低马赫数流动数值模拟中的收敛特性进行了细致研究。首先采用量级分析法研究了Weiss-Smith预处理方法对低速情形下Euler方程收敛性的影响；然后针对低速情形下预处理后的Euler方程组中各方程的收敛性，提出了一个改进的预处理矩阵。数值模拟结果表明：Weiss-Smith预处理方法可以很好地改善Euler方程在低速流动时的收敛特性，并且改进后的预处理矩阵在连续方程的收敛特性方面效果明显。
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| 关 键 词： | 计算流体力学 预处理方法 低马赫数 收敛性 Euler方程 |
| 收稿时间： | 2008-03-19 |
| 修稿时间： | 2008-09-04 |
Convergence Characteristics of Preconditioned Euler Equations at Low Mach Numbers |
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| Liu Chen,Wang Jiangfeng,Wu Yizhao.Convergence Characteristics of Preconditioned Euler Equations at Low Mach Numbers[J].Acta Aeronautica et Astronautica Sinica,2009,30(5):842-848. |
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| Authors: | Liu Chen Wang Jiangfeng Wu Yizhao |
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| Institution: | Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics |
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| Abstract: | The convergence characteristics of the preconditioned Euler equations at low Mach numbers were studied in this article. An order analysis was conducted to search for the convergence characteristics of Euler equations with Weiss-Smith preconditioner in low speed flow. The convergence characteristics of every equation were studied, and then a new preconditioning matrix was suggested. It is shown that excellent convergence rates and solution accuracy of Euler equations are obtained with the Weiss-Smith precond... |
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| Keywords: | computational fluid dynamics preconditioning low Mach numbers convergence Euler equations |
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