Streamline methods for parabolic differential equations, 2008

Advisors: Jan M. Nordbotten

Short description of project:

Two different problem set-ups from which parabolic advection-diffusion equations arise when modelling flow in porous media: groundwater contamination with diffusion/dispersion, fractional-flow formulation of immiscible two-phase flow.

Streamline methods equipped with time-off-light coordinates are attractive alternatives or supplements to traditional solution methods of advection diffusion equations. We propose a method to take care of the cross-streamline diffusive effects along normallines in 2D. It is based on operator splitting, reducing the 2D equations to 1-dimensional equations along streamlines and normallines.

Link to thesis at BORA-UiB: Link