TY - GEN

T1 - An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media

AU - Sun, Shuyu

AU - Salama, Amgad

AU - El-Amin, Mohamed

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2012/6/2

Y1 - 2012/6/2

N2 - A new technique for the numerical solution of the partial differential equations governing transport phenomena in porous media is introduced. In this technique, the governing equations as depicted from the physics of the problem are used without extra manipulations. In other words, there is no need to reduce the number of governing equations by some sort of mathematical manipulations. This technique enables the separation of the physics part of the problem and the solver part, which makes coding more robust and could be used in several other applications with little or no modifications (e.g., multi-phase flow in porous media). In this method, one abandons the need to construct the coefficient matrix for the pressure equation. Alternatively, the coefficients are automatically generated within the solver routine. We show examples of using this technique to solving several flow problems in porous media.

AB - A new technique for the numerical solution of the partial differential equations governing transport phenomena in porous media is introduced. In this technique, the governing equations as depicted from the physics of the problem are used without extra manipulations. In other words, there is no need to reduce the number of governing equations by some sort of mathematical manipulations. This technique enables the separation of the physics part of the problem and the solver part, which makes coding more robust and could be used in several other applications with little or no modifications (e.g., multi-phase flow in porous media). In this method, one abandons the need to construct the coefficient matrix for the pressure equation. Alternatively, the coefficients are automatically generated within the solver routine. We show examples of using this technique to solving several flow problems in porous media.

UR - http://hdl.handle.net/10754/552453

UR - http://linkinghub.elsevier.com/retrieve/pii/S1877050912001925

UR - http://www.scopus.com/inward/record.url?scp=84882975402&partnerID=8YFLogxK

U2 - 10.1016/j.procs.2012.04.071

DO - 10.1016/j.procs.2012.04.071

M3 - Conference contribution

SP - 661

EP - 669

BT - Procedia Computer Science

PB - Elsevier BV

ER -