| 引用本文: | 廖守亿,王正华,王承尧.预处理方法在低速粘性流动中的应用.[J].国防科技大学学报,2000,22(1):89-93.[点击复制] |
| LIAO Shouyi,WANG Zhenghua,WANG Chengyao.The Application of Preconditioning in Viscous Flow at Low Speeds[J].Journal of National University of Defense Technology,2000,22(1):89-93[点击复制] |
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| 预处理方法在低速粘性流动中的应用 |
| 廖守亿, 王正华, 王承尧 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 用时间相关法、LU-SGS 隐式求解经过预处理后的二维可压 Navier-Stokes 方程, 数值模拟了低速情况下不同马赫数、不同雷诺数的驱动空腔流动。为了使时间相关法能应用于计算低速流动及加快收敛, 在控制方程的时间导数项前乘了一个预处理矩阵, 实现了对方程的预处理。数值模拟结果表明, 预处理确实加快了计算的收敛性, 而定常解却没有改变。所得结果与可能的计算结果进行了比较。 |
| 关键词: 时间相关法 预处理 LU-SGS 低速流动 驱动空腔 |
| DOI： |
| 投稿日期：1999-05-25 |
| 基金项目:中科院大气物理所资金资助 |
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| The Application of Preconditioning in Viscous Flow at Low Speeds |
| LIAO Shouyi, WANG Zhenghua, WANG Chengyao |
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(College of Aerospace and Materials Engineering，National Univ. of Defense Technology，Changsha 410073，China)
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| Abstract: |
| The time-dependent method&LU-SGS implicit scheme has been used to solve 2D compressible Navier-Stokes equations which are preconditioned and simulate the driven cavity flow field at different low Mach numbers and different Reynold numbers. To apply the time-dependent method to simulate the flow field at low speeds validly and accelerate the convergence rates, a matrix called preconditioning matrix has multiplied the time-derivative terms of Navier-Stokes equations. This is known as preconditioning. Convergence rates are accelerated for a certainty, while providing solutions are identical to those obtained without preconditioning methods. The results are compared with available data. |
| Keywords: time-dependent method preconditioning LU-SGS low speeds flow driven cavity |
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