| NS方程的各向异性笛卡尔网格法研究 |
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| 引用本文： | 吴子牛.NS方程的各向异性笛卡尔网格法研究[J].计算物理,1998,15(4):463-475. |
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| 作者姓名： | 吴子牛 |
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| 作者单位： | 北京航空航天大学国家计算流体力学实验室 100083 |
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| 基金项目： | 由国家自然科学基金资助,项目号为19502002 |
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| 摘 要： | 将近年发展起来的用于Euler方程求解的具有局部均匀网格总体非结构特性的笛卡尔网格法推广到NS方程的求解。为了与流场的各向异性相适应、减少网格点数量,提出了一种各向异性网格加密法。另外还研究了分级笛卡尔网格对内点格式稳定性的影响和插值固体边界条件的稳定性。数值结果表明各向异性笛卡尔网格法相对于传统的各向同性网格方法能大量节省网格点数量而且与后者具有同样的精度。
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| 关 键 词： | 各向异性笛卡尔网格 固体壁面边界条件 粘性流动 稳定性 |
| 收稿时间： | 1996-10-28 |
| 修稿时间： | 1997-05-08 |
ANISOTROPIC CARTESIAN GRID METHOD FOR THE NAVIER-STOKES EQUATIONS |
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| Wu Ziniu.ANISOTROPIC CARTESIAN GRID METHOD FOR THE NAVIER-STOKES EQUATIONS[J].Chinese Journal of Computational Physics,1998,15(4):463-475. |
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| Authors: | Wu Ziniu |
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| Institution: | National Laboratory for CFD, Beijing Univer. Aero & Astronautics, Beijing 100083 |
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| Abstract: | The Cartesian grid method initially developed for computing inviscid flows is extended to viscous flow problems. In order to reduce the number of mesh points and to be compatible with the anisotropic nature of viscous flows, an anisotropic Cartesian grid method is proposed. The stability of a space-centered interior difference scheme and that of a finite-difference solid wall condition are studied for the Cartesian grid. It is found that the anisotropic Cartesian grid method can substantially reduce the number of grid points without jeopadizing the accuracy. |
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| Keywords: | Cartesian grid anisotropic refinement Navier Stokes equations stability |
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