| 对流-扩散-反应方程的变分多尺度解法 |
| |
| 引用本文： | 朱海涛,欧阳洁. 对流-扩散-反应方程的变分多尺度解法[J]. 工程数学学报, 2009, 26(6) |
| |
| 作者姓名： | 朱海涛 欧阳洁 |
| |
| 作者单位： | 西北工业大学应用数学系,西安,710072;西北工业大学应用数学系,西安,710072 |
| |
| 基金项目： | 国家自然科学基金，国家重点基础研究发展计划 |
| |
| 摘 要： | 根据变分多尺度的思想求解了对流项和反应项占优的对流-扩散-反应方程.在变分多尺度思想的理论框架内,推导了附加于Galerkin变分弱形式的稳定化结构和具体的稳定化系数;阐述了这种稳定化结构和经典的SUPG稳定化结构之间的关系;数值算例表明,该稳定化系数可以适应均匀和非均匀的计算网格.通过网格的恰当加密,变分多尺度方法消除了算例中的数值伪振荡.
|
| 关 键 词： | 对流-扩散-反应方程 变分多尺度方法 SUPG 稳定化方法 |
Variational Multiscale Method for the Advection-diffusion-reaction Equation |
| |
| ZHU Hai-tao,OUYANG Jie. Variational Multiscale Method for the Advection-diffusion-reaction Equation[J]. Chinese Journal of Engineering Mathematics, 2009, 26(6) |
| |
| Authors: | ZHU Hai-tao OUYANG Jie |
| |
| Affiliation: | ZHU Hai-tao,OUYANG Jie(Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072) |
| |
| Abstract: | The advection-diffusion-reaction equation dominated by either advection or reaction is solved by using the variational multiscale method,which preserves the superior properties of the clas-sical stabilized methods such as SUPG,GLS.The variational multiscale method decomposes the scalar field into coarse scale and fine scale,respectively;then the fine scale incorporates into the coarse scale through a bubble function to correct the lack of stability of the coarse scale;at last,the coarse scale is solved by t... |
| |
| Keywords: | SUPG advection-diffusion-reaction variational multiscale SUPG stabilized methods |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
