摘要
The numerical methods for miscible displacment in aggregated or sorbing medium are considered. A mixed finite element method is adopted for the pressure equation. The concentration in the mobile water is approximated by a combination of a Galerkin finite element method and the method of characteristics and the concentration in immobile water is approximated by a standard Galerkin method. The moving mesh technique which depends on time t is adopted here. The moving meshes can vary in different spacial domains with different variable times. Optima error estimates in energy norm and L2 norm are obtained under certain constraints.
The numerical methods for miscible displacment in aggregated or sorbing medium are considered. A mixed finite element method is adopted for the pressure equation. The concentration in the mobile water is approximated by a combination of a Galerkin finite element method and the method of characteristics and the concentration in immobile water is approximated by a standard Galerkin method. The moving mesh technique which depends on time t is adopted here. The moving meshes can vary in different spacial domains with different variable times. Optima error estimates in energy norm and L2 norm are obtained under certain constraints.
基金
ThisresearchwassupportedbyNationalNaturalScienceFoundation .
