一种减少壁热误差的自适应热粘性

计算物理 ›› 2012, Vol. 29 ›› Issue (6): 807-814.

一种减少壁热误差的自适应热粘性

沈智军^1,2, 谢亚伟³, 闫伟¹

1. 北京应用物理与计算数学研究所计算物理实验室 100088;
2. 北京大学应用物理与技术研究中心, 北京 100871;
3. 中国工程物理研究院研究生部, 北京 100088

收稿日期:2012-02-28 修回日期:2012-06-18 出版日期:2012-11-25 发布日期:2012-11-25
通讯作者: 谢亚伟,E-mail:xywworld@126.com
作者简介:沈智军(1966-),男,辽宁,博士,研究员,从事计算流体力学方法研究
基金资助:
国家自然科学基金(11071025);国防基础科研项目(B1520110011);中物院科学技术发展基金(2010A0202010);计算物理实验室基金资助项目

Wall Heating and Adaptive Heat Conduction Viscosity

SHEN Zhijun^1,2, XIE Yawei³, YAN Wei¹

1. Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;
2. Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
3. Graduate School of China Academy of Engineering Physics, Beijing 100088, China

Received:2012-02-28 Revised:2012-06-18 Online:2012-11-25 Published:2012-11-25

摘要/Abstract

摘要： 使用单元中心型拉氏方法,研究一维球、柱坐标等径向对称流体力学方程组的数值格式和减少壁热误差的方法.简要分析壁热误差与差分格式修正方程的关系.通过对Riemann问题声波和HLL近似解的比较,提出减少壁热误差的一种自适应的热通量粘性.多项数值实验表明该方法可以获得令人满意的计算结果.

关键词: 径向对称流动, Riemann解, 壁热误差

Abstract: A numerical scheme and method deducing "wall heating errors" in computing problems of radially symmetric flow using Lagrangian cell-centered schemes is investigated.Relation between "wall heating error" and modified equations of difference schemes is introduced.With comparision of sound wave approximate Riemann solver and HLL Riemann solver,a new adaptive heat conduction viscosity is introduced to ameliorate "wall heating errors".Numerical experiments show that this viscosity in current scheme provides satisfactory results.

Key words: radially symmetric flow, Riemann solution, wall heating errors

中图分类号:

O241.82

沈智军, 谢亚伟, 闫伟. 一种减少壁热误差的自适应热粘性[J]. 计算物理, 2012, 29(6): 807-814.

SHEN Zhijun, XIE Yawei, YAN Wei. Wall Heating and Adaptive Heat Conduction Viscosity[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(6): 807-814.

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