Solving global problem by considering multitude of local problems: Application to fluid flow in anisotropic porous media using the multipoint flux approximation

作者:

Highlights:

• A new methodology is introduced for solving the governing equations of flow and transport.

• Global problem is divided into a set of local problems which are easy to solve.

• The global system of equations are assembled automatically in the solver routine.

• This technique uses the equations as suggested by the physics without extra manipulations.

• The result is simple, easy to run, update, and maintain algorithms.

摘要

•A new methodology is introduced for solving the governing equations of flow and transport.•Global problem is divided into a set of local problems which are easy to solve.•The global system of equations are assembled automatically in the solver routine.•This technique uses the equations as suggested by the physics without extra manipulations.•The result is simple, easy to run, update, and maintain algorithms.

论文关键词:Multi point flux approximation,Cell-centered finite differences,Experimenting pressure field technique,Anisotropic porous media

论文评审过程:Received 30 April 2013, Revised 8 September 2013, Available online 4 February 2014.

论文官网地址:https://doi.org/10.1016/j.cam.2014.01.016