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International Journal of High Performance Computing Applications
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Large-Scale Computing in Reservoir Simulation

Richard E. Ewing

UNIVERSITY OF WYOMING LARAMIE, WYOMING 82071

Operator-splitting techniques are applied to the nonlinear coupled systems of partial differential equations used to model multiphase or multicomponent flows in porous media. Convection is treated by time-stepping along the characteristics of the associated pure convection problem, and diffusion is modeled via Petrov-Galerkin finite element techniques. Accurate approximations of the fluid velocities needed in the modified method of characteristic time-stepping are obtained by mixed finite element methods. Substructuring techniques are used to develop self-adaptive local grid-refinement enhance ments to the operator-splitting methods described above. Aspects of large-scale computation will be emphasized.

International Journal of High Performance Computing Applications, Vol. 2, No. 4, 45-53 (1988)
DOI: 10.1177/109434208800200405
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