D. Biswas et Gf. Carey, A LEAST-SQUARES MIXED SCHEME FOR THE SIMULATION OF 2-PHASE FLOW IN POROUS-MEDIA ON UNSTRUCTURED GRIDS, Transport in porous media, 32(1), 1998, pp. 75-95
A least-squares mixed formulation is developed for simulation of two-p
hase flow in porous media. Such problems anise in petroleum applicatio
ns and ground-water flow. An adaptive strategy based on the element re
sidual as an error indicator is developed in conjunction with unstruct
ured remeshing and tested for the two-phase flow of oil and water. An
element-by-element conjugate-gradient scheme (EBE-CG) is compared to a
band solution algorithm.