Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707461 | Applied Mathematics Letters | 2016 | 8 Pages |
Abstract
The paper investigates the system of PDEs for two-phase nn-component flow in porous media consisting of hyperbolic terms for advective transport, parabolic terms of dissipative effects and relaxation non-equilibrium equations. We found that for several dissipative and non-equilibrium systems, using the stream-function as a free variable instead of time separates the general (n+1)×(n+1)(n+1)×(n+1) system into an n×nn×n auxiliary system and one scalar lifting equation. In numerous cases, where the auxiliary system allows for exact solution, the general flow problem is reduced to numerical or semi-analytical solution of one lifting equation.
Related Topics
Physical Sciences and Engineering
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Computational Mechanics
Authors
S. Borazjani, A.J. Roberts, P. Bedrikovetsky,