| 基于全隐式无分裂算法求解三维N-S方程 |
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| 引用本文： | 司海青,王同光.基于全隐式无分裂算法求解三维N-S方程[J].计算力学学报,2009,26(2):252-257. |
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| 作者姓名： | 司海青 王同光 |
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| 作者单位： | 1. 南京航空航天大学,民航飞行学院,飞行技术系,南京,210016
2. 南京航空航天大学,航空宇航学院,空气动力系,南京,210016 |
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| 基金项目： | 南京航空航天大学人才引进基金 |
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| 摘 要： | 基于多块结构网格,本文研究和发展了三维N-S方程的全隐式无分裂算法.对流项的离散运用Roe格式,粘性项的离散利用中心型格式.在每一次隐式时间迭代中,运用GMRES方法直接求解隐式离散引起的大型稀疏线性方组.为了降低内存需求以及矩阵与向量之间的运算操作数,Jacobian矩阵的一种逼近方法被应用在本文的算法之中.计算结果与实验结果基本吻合,表明本文的全隐式无分裂方法是有效和可行的.
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| 关 键 词： | Navier-Stokes方程 全隐式无分裂方法 多块网格 |
| 收稿时间： | 2007/3/12 0:00:00 |
Solver of three-dimensional Navier-Stokes equations based on the fully implicit unfactored algorithm |
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| SI Hai-qing and WANG Tong-guang.Solver of three-dimensional Navier-Stokes equations based on the fully implicit unfactored algorithm[J].Chinese Journal of Computational Mechanics,2009,26(2):252-257. |
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| Authors: | SI Hai-qing and WANG Tong-guang |
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| Institution: | 1.Flight Technology Department;School of Civil Aviation and Flight;Nanjing University of Aeronautics and Astronautics;Nanjing 210016;China;2.Aerodynamics Department;School of Aerospace Engineering;China |
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| Abstract: | A fully implicit unfactored algorithm of three-dimensional N-S equations is developed and tested on multi-block curvilinear meshes.The convective terms are discretized using Roe scheme;the viscous terms are discretized using a center scheme.The large-scale sparse linear system arising from each implicit time step is solved by GMRES method combined with the block incomplete lower-upper preconditioner.In order to reduce memory requirements and matrix-vector operation counts,an approximate method for the deriv... |
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| Keywords: | Navier-Stokes equations implicit unfactored method multiblock grid |
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