| 三维定常对流扩散方程的双方程方法 |
| |
| 引用本文： | 张新红,同登科,潘军刚. 三维定常对流扩散方程的双方程方法[J]. 山东科技大学学报(自然科学版), 2007, 26(3): 106-109 |
| |
| 作者姓名： | 张新红 同登科 潘军刚 |
| |
| 作者单位： | 中国石油大学,数学与计算科学学院,山东,东营,257061;中国石油大学,后勤管理处,山东,东营,257061 |
| |
| 摘 要： | 三维定常对流扩散方程的经典边界积分方程,其类型关于未知对流扩散势导数是第一类积分方程,关于未知对流扩散势是第二类积分方程。本文从格林公式出发,通过建立位势的单、双场守恒积分公式,推导出三维定常对流扩散方程新的边界积分方程,其类型与经典方程相反。对不同的边界采用不同的方程,由此把双方程边界元方法推广到三维空间。
|
| 关 键 词： | 对流扩散方程 边界元法 双方程方法 边界积分方程 |
| 文章编号： | 1672-3767（2007）03-0106-04 |
| 收稿时间： | 2007-04-06 |
| 修稿时间： | 2007-04-06 |
Double-Equation Method for Three-dimensional Stationary Convection-Diffusion Equation |
| |
| ZHANG Xin-hong,TONG Deng-ke,PAN Jun-gang. Double-Equation Method for Three-dimensional Stationary Convection-Diffusion Equation[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 2007, 26(3): 106-109 |
| |
| Authors: | ZHANG Xin-hong TONG Deng-ke PAN Jun-gang |
| |
| Affiliation: | 1. School of Mathematics and Computational Science, China University of Petroleum, Dongying, Shandong 257061, China; 2. Dept. of Logistics, China University of Petroleum, Dongying, Shandong 257061, China |
| |
| Abstract: | The type of ordinary boundary integral equation for 3-D stationary convection-diffusion equation is the second kind of integral equation for the unknown convection-diffusion potential,but is the first kind of one for the unknown convection-diffusion potential derivative.In this paper,starting from Green formula,a single field conservation integral formula and a double field conservation integral formula are established.By means of these formulas, a new type of boundary integral equation is derived,which is contrary to the ordinary equation.Different equations are used for different boundaries,thus double-equation boundary element method in three dimensions is gotten. |
| |
| Keywords: | convection-diffusion equation boundary element method double-equation method boundary integral equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
