Collocation based parallel algorithm to solve two phase flow and transport problems in porous media (chapter 37). Book chapter
J. Guarnaccia, George Francis Pinder · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1993
Groundwater contamination by organic compounds results from two mechanisms: migration of the free product (phase flow) and migration of dissolved components in the water (species transport). Numerical simulation is computationally intensive involving the iterative simultaneous solution of coupled nonlinear partial differential equations over fine time and space discretizations. Efficient parallel computations can be used when an alternating direction solution scheme is employed. The paper describes a highly efficient collocation based alternating direction algorithm which relies on matrix factorization to achieve spatial decoupling.