基于有限体积法的非结构网格大涡模拟离散方法研究

熊英; 关晖; 吴锤结

doi:10.21656/1000-0887.370228

基于有限体积法的非结构网格大涡模拟离散方法研究

doi: 10.21656/1000-0887.370228

熊英^1,3,
关晖²,
吴锤结³

¹中国人民解放军91550部队, 辽宁大连 116023;²中国人民解放军理工大学气象海洋学院, 南京 211101;³大连理工大学航空航天学院, 辽宁大连 116024

基金项目: 国家自然科学基金(11572350);国家重点基础研究发展计划(973计划)(2014CB-744104)

详细信息

作者简介:
熊英(1978—)，女，博士生(E-mail: yxiong_2011@163.com)；吴锤结(1955—)，男，教授(通讯作者. E-mail: cjwudut@dlut.edu.cn).

中图分类号: O357.41
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出版历程
- 收稿日期: 2016-08-16
- 修回日期: 2016-09-15
- 刊出日期: 2016-11-15

LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method

¹Unit 91550 of PLA, Dalian, Liaoning 116023, P.R.China;²College of Meteorology and Oceanography, PLA University of Science and Technology,Nanjing 211101, P.R.China;³School of Aeronautics and Astronautics, Dalian University of Technology,Dalian, Liaoning 116024, P.R.China

Funds: The National Natural Science Foundation of China(11572350);The National Basic Research Program of China (973 Program)(2014CB-744104)

摘要

摘要: 非结构网格下的大涡模拟是解决复杂几何体高Reynolds(雷诺)数流动的有效途径.首先，基于有限体积法，研究了对流项和扩散项非结构网格下的离散方法.研究结果表明：基于TVD(total variation diminishing)限制器的限制中心差分格式保证了对流项的二阶精度并抑制了非物理振荡，同时，线性迎风格式虽然稳定，但数值耗散过大，且不能保证有界，中心差分格式引起了周期性非物理振荡；扩散项的超松弛非正交修正减小了网格非正交带来的离散误差，但修正系数须根据网格非正交的程度进行合理选取. 为验证所述离散方法对大涡模拟的适用性，数值计算了Re=1.14×10⁶下的非定常三维小球绕流，计算方法包括：计算网格用基于Delaunay三角剖分和Netgen前沿推进算法的四面体非结构网格；湍流模型用改进的延迟分离涡大涡模型；在离散格式的选取上，对流项用限制中心差分，扩散项加入非正交修正，插值格式用最小二乘法，时间项用二阶后向差分.计算结果表明，所用离散方法稳定收敛并且与实验数据基本吻合.
- 非结构网格 /
- 中心差分 /
- TVD限制器 /
- 非正交修正 /
- 修正系数 /
- 大涡模拟
Abstract: The LES of unstructured meshes is an effective way to solve the high Reynolds number flow around complex geometries. Firstly, based on the finite volume method, the discretization methods for the convection term and the diffusion term were analyzed. For the convection term, the central difference scheme with a TVD limiter ensured 2nd-order accuracy and inhibited the nonphysical oscillations. Dissipation of the linear upwind scheme was large and can not guarantee boundedness. The central difference scheme caused a period of nonphysical oscillations. For the diffusion term, the method of over relaxation nonorthogonal correction reduced the discretization error caused by the nonorthogonal mesh. The correction coefficients were chosen according to the nonorthogonal degree of the mesh. Secondly, numerical simulation of unsteady flow around a sphere with high Reynolds number was conducted based on the improved delayed detached eddy simulation (IDDES) model and the tetrahedral mesh. The limited central difference scheme was used for the convection term, and the over relaxation correction was used for the diffusion term. The least squares method was used for the interpolation scheme. The 2nd-order backward difference scheme was used for the time term. The calculation results show that, the proposed discretization methods are stable and in good agreement with the experimental data.
- unstructured tetrahedral mesh /
- limited central difference /
- TVD limiter /
- nonorthogonal correction /
- correction coefficient /
- LES

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参考文献(19)

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基于有限体积法的非结构网格大涡模拟离散方法研究

doi: 10.21656/1000-0887.370228

作者简介:
熊英(1978—)，女，博士生(E-mail: yxiong_2011@163.com)；吴锤结(1955—)，男，教授(通讯作者. E-mail: cjwudut@dlut.edu.cn).

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LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method

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留言板

基于有限体积法的非结构网格大涡模拟离散方法研究

doi: 10.21656/1000-0887.370228

作者简介: 熊英(1978—)，女，博士生(E-mail: yxiong_2011@163.com)；吴锤结(1955—)，男，教授(通讯作者. E-mail: cjwudut@dlut.edu.cn).

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出版历程

LES Discretization Methods for Unstructured Meshes Based on the Finite Volume Method

计量

出版历程

目录

作者简介:
熊英(1978—)，女，博士生(E-mail: yxiong_2011@163.com)；吴锤结(1955—)，男，教授(通讯作者. E-mail: cjwudut@dlut.edu.cn).