摘要
研究了二维污染运移方程 ,这种方程由平流项 ,扩散项和吸收项组成 .假设为平衡吸收 ,且吸收项为Freundli ch等温项 ,在此情形下 ,饱和度方程是非线性的 ,并且当饱和度接近零时非Lipschitz连续 ,造成分析的困难 .利用迎风格式处理平流项 ,混合元方法处理扩散项 ,从而得到逼进此方程的迎风混合元方法 .
Contaminant transport equations in two dimensions are considered. The equation is characterized by advection, diffusion, and adsorption. Assuming it was equilibrium adsorption processes and the adsorption term is modeled by a Freundlich isotherm, it can be nondifferentiable as the concentration approaches zero. The approximation of this equation is considered by a method which upwinds the advection and incorporates diffusion using a mixed finite element method. Error estimates for a semidiscrete formulation are derived.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2004年第4期23-28,共6页
Journal of Shandong University(Natural Science)
基金
国家重点基础研究专项经费资助项目 (G19990 3 2 80 3 )
国家自然科学基金资助项目 ( 10 3 72 0 5 2
10 2 710 66)
教育部博士点基金资助项目( 2 0 0 3 0 42 2 0 47)
关键词
平流项
扩散项
吸收项
迎风
混合元
advection
diffusion
adsorption
upwinding
mixed finite element