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Paper Information

Journal:   AMIRKABIR   Summer 2004 , Volume 15 , Number 59-C; Page(s) 35 To 42.
 
Paper: 

DISCRETIZATION OF FLOW IN POROUS MEDIA BY FINITE VOLUME TECHNIQUE

 
 
Author(s):  SHAMSAI A., VOSOUGHIFAR H.R.
 
* 
 
Abstract: 

in this paper a finite volume scheme is used to discretize flow in prous media. A numerical method for treating advection-dominated contaminant transport for flow of groundwater is described. This method combines the advantages of numerical discretization and finite volume method. The equations are discretized using a finite volume approach. The resulting nonlinear differential system is integrated in time using a solver. The conservation of energy equation is solved using a special method for reducing the oscillations induced by the standard finite volume method. Consequently, a mathematical model for multi-component flow transport in an anisotropic media is presented which couples the equations for multi-component diffusion and Darcys law for flow in aporous medium. Furthermore application of an integrated matlab system in several studies has been provided. The integrated matlab is based on open data formats and standards and may be used for many other application areas, especially where modeling in 2D and 3D is involved. Numerical simulations are performed to validate the model and investigate the effect. The final purpose of this paper is to discuss and compare the differences between the finite volume scheme for uniform and unstructured grids, which is shown to be less than 0.2 percent.

 
Keyword(s): FINITE VOLUMES, HETEROGENEOUS, POROUS MEDIA
 
References: 
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