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

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.