计算物理 ›› 2013, Vol. 30 ›› Issue (3): 337-345.

• 论文 • 上一篇    下一篇

自然对流换热的高精度非结构网格有限体积法

解岩, 欧阳洁, 周文, 任朝倩   

  1. 西北工业大学应用数学系, 西安 710129
  • 收稿日期:2012-09-06 修回日期:2012-12-19 出版日期:2013-05-25 发布日期:2013-05-25
  • 通讯作者: 欧阳洁,E-mail:jieouyang@nwpu.edu.cn
  • 作者简介:解岩(1984-),女,安徽,硕士生,从事有限体积法研究及复杂流体数值模拟
  • 基金资助:
    国家重点基础研究发展计划(973)(2012CB025903)资助项目

A High Accuracy Unstructured Grid Finite Volume Method for Natural Convection Heat Transfer

XIE Yan, OUYANG Jie, ZHOU Wen, REN Chaoqian   

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
  • Received:2012-09-06 Revised:2012-12-19 Online:2013-05-25 Published:2013-05-25

摘要: 用非结构网格有限体积法求解自然对流换热时,传统的对流项离散格式难以兼顾数值精度与计算效率,我们发展了一种耦合高精度格式的延迟修正方法,用于对流项的离散.高Re数下方腔驱动流数值计算验证了该方法具有较高的计算精度和较好的稳定性.Boussinesq流体的自然对流换热数值模拟,表明该方法能有效克服高Ra数时数值计算发散,可准确捕捉自然对流换热问题中不同偏心率下的等温线和流线分布特征.

关键词: 非结构, 自然对流换热, Boussinesq流体

Abstract: To make balance between numerical accuracy and computational efficiency,a deferred correction method coupled with high order scheme is proposed for computation of convection flux.Classical benchmark problems,cavity driven flow with high Reynolds numbers,are solved numerically to verify precision and stability of the method.Finally,the method is used to solve Boussinesq fluid of natural convection heat transfer.It shows that the method overcomes numerical divergence effectively in high Rayleigh number problem.It captures accurately isothermal lines and stream lines at different eccentricities in natural convection heat transfer.

Key words: unstructured, natural convection heat transfer, Boussinesq fluid

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