Nonlinear finite volume method for two-phase flow in porous media

The new finite volume method with nonlinear two-point flux discretization is being studied. We present an application of the method for two-phase flow model and conduct a comparison study of two approaches to discretization of the diffusive flux: conventional linear and proposed nonlinear two-point stencils. New method shows a number of important advantages over traditional approach, such as very low sensitivity to grid distortions and second order approximation in the case of full anisotropic diffusion tensor.