计算物理 ›› 1989, Vol. 6 ›› Issue (2): 159-168.

• 论文 • 上一篇    下一篇

深层地下不稳定流温度场的数值模拟

胡健伟, 田春松   

  1. 南开大学数学系, 天津
  • 收稿日期:1988-03-28 出版日期:1989-06-25 发布日期:1989-06-25

A. NUMERICAL SIMULATION OF TEMPERATURE FIELD IN THE DEEP UNDERGROUND UNSTEADY FLOW

Hu Jianwei, Tian Chunsong   

  1. Depart. of Math., Nankai University, Tianjin
  • Received:1988-03-28 Online:1989-06-25 Published:1989-06-25

摘要: 本文给出一个深层地下不稳定流温度场的数学模型,它把三维空间中的两个耦合的传导(对流)问題,归化为一个传导对流型的积微分方程。为节约数值求解时的计算量和存贮量,文中还特别讨论了后者在时间方向上的离散格式,并给出了数值例子。

Abstract: In this paper a mathematical model for temperature field in deep underground unsteady is developed. We have to deal with two coupled convective-diffusion equations in three dimensional space and we propose a reduced equation, which is a single integro-differential equation, of the coupled system.In order to reduce greatly both the memory requirements and the computational effort, for its numerical approximation our particular concern will be in the treatment of the integral term. We also show some numerical examples.