| 非结构网格上动能守恒的低耗散数值方法 |
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| 引用本文： | 王中南,苏欣荣,袁新.非结构网格上动能守恒的低耗散数值方法[J].清华大学学报(自然科学版),2012(4):468-472,482. |
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| 作者姓名： | 王中南 苏欣荣 袁新 |
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| 作者单位： | 清华大学热能工程系热科学与动力工程教育部重点实验室 |
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| 基金项目： | 国家自然科学基金重点项目(51136003);国家“九七三”重点基础研究项目(2007CB210108) |
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| 摘 要： | 非结构网格下的大涡模拟方法是解决叶轮机械内部复杂几何流道中强剪切湍流问题的有效途径,而降低算法的数值耗散是提高模拟精度和可靠性的关键之一。该文基于动能守恒特性推导了非结构网格下的低耗散数值方法,使其在维持格式稳定的前提下达到数值耗散最小,并在此基础上发展了与其相适应的无反射边界条件。进一步选取了5个具有代表性的基础算例进行模拟,结果表明:该文方法较传统迎风格式具有低耗散的特性且计算量减少了近75%。
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| 关 键 词： | 热能工程 数值方法 非结构网格 动能守恒 低耗散 |
Low-dissipation numerical method with kinetic energy conservation on unstructured meshes |
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| WANG Zhongnan,SU Xinrong,YUAN Xin.Low-dissipation numerical method with kinetic energy conservation on unstructured meshes[J].Journal of Tsinghua University(Science and Technology),2012(4):468-472,482. |
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| Authors: | WANG Zhongnan SU Xinrong YUAN Xin |
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| Institution: | (Key Laboratory for Thermal Science and Power Engineering of Ministry of Education,Department of Thermal Engineering, Tsinghua University,Beijing 100084,China) |
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| Abstract: | Large-eddy simulations on unstructured meshes can be used to analyze complex turbulent flows in complex geometries such as in turbomachinery.The numerical dissipation must be reduced to enhance the simulation accuracy and fidelity.This paper describes a low-dissipation numerical scheme developed based on kinetic energy conservation that greatly enhances the numerical stability.Non-reflective boundary condition was developed as well.Simulations of five fundamental flows using this method show the clear advantages of this method over the upwind method in terms of numerical dissipation and computational efficiency. |
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| Keywords: | thermal engineering numerical method unstructured meshes kinetic energy conservation low dissipation |
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