Abstract:

A numerical approximate scheme is considered for incompressible miscible displacement in porous media. This scheme is constructed by two methods. The standard mixed finite element is used for the pressure equation. A parallel non-overlapping domain decomposition procedure combined with the characteristic method is presented for the concentration equation. This parallel procedure uses the implicit Galerkin method in the subdomains and simple explicit flux calculation on the inter-domain boundaries by the integral mean method to predict the inner-boundary conditions. Thus, parallelism can be achieved. Optimal order in L²-norm error estimates are derived for this scheme.
incompressible miscible displacement; non-overlapping domain decomposition procedure; mixed finite element method; characteristic method; integral mean method

Key words: incompressible miscible displacement; non-overlapping domain decomposition procedure; mixed finite element method; characteristic method; integral mean method