Nitsche’s Method for a Transport Problem in Two-phase Incompressible Flows

摘要: We consider a parabolic interface problem which models the transport of dissolved species in two-phase incompressible flow problems. Due to so-called Henry condition solution is discontinuous across interface. use an extended finite element space combined with method due Nitsche for spatial discretization this and derive optimal error bounds method. For time standard θ-scheme applied. Results numerical experiments are given that illustrate convergence properties discretization.