点源和点汇的混溶驱动问题的特征Galerkin全离散方法  

Time Stepping Along Characteristics for a GalerkinApproximation of Miscible Displacement Problems with Point Sources and Sinks

作　　者：孙军红[1] 

机构地区：[1]山东大学数学学院,济南250100

出　　处：《工程数学学报》2003年第2期15-22,共8页Chinese Journal of Engineering Mathematics

基　　金：国家重点基础研究专项经费(G19990328);国家自然科学基金项目(19871051;19972039).

摘　　要：在考虑多孔介质中不可压缩二相混溶驱动问题时,在井口处应用点源和点汇,给出了点源和点汇的混溶驱动问题的数学模型,提出并分析了一类特征Galerkin全离散格式。由于本文考虑在井处用了点源和点汇,由点的奇异性引起压力和浓度的光滑性的减弱,从而得到了比非奇异的源和汇较低阶的收敛率。We consider the problem of the miscible displacement of one incompressible fluid by another in a porous medium using point sources and sinks at the wells, and give its mathematica models. A Galerkin methods with time stepping along characteristics are presented and analyzed. It can be shown that point singularities reduce the smoothness of the pressure and concentration. We obtain convergence rates of a lower order than the nonsingular sources and sinks case.

关 键 词：点源点汇 特征Galerkin方法 全离散 误差估计 

分 类 号：O241.82[理学—计算数学]