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A Mixed Finite Volume Element Method for Flow Calculations in Porous MediaA key ingredient in the simulation of flow in porous media is the accurate determination of the velocities that drive the flow. The large scale irregularities of the geology, such as faults, fractures, and layers suggest the use of irregular grids in the simulation. Work has been done in applying the finite volume element (FVE) methodology as developed by McCormick in conjunction with mixed methods which were developed by Raviart and Thomas. The resulting mixed finite volume element discretization scheme has the potential to generate more accurate solutions than standard approaches. The focus of this paper is on a multilevel algorithm for solving the discrete mixed FVE equations. The algorithm uses a standard cell centered finite difference scheme as the 'coarse' level and the more accurate mixed FVE scheme as the 'fine' level. The algorithm appears to have potential as a fast solver for large size simulations of flow in porous media.
Document ID
19970006885
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
Jones, Jim E.
(Institute for Computer Applications in Science and Engineering Hampton, VA United States)
Date Acquired
August 17, 2013
Publication Date
September 1, 1996
Publication Information
Publication: Seventh Copper Mountain Conference on Multigrid Methods
Issue: Part 1
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
97N13778
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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