Abstract
We present the use of the Vertex Approximate Gradient scheme for the simulation of multiphase flow in porous media. The porous volume is distributed to the natural grid blocks and to the vertices, hence leading to a new finite volume mesh. Then the unknowns in the control volumes may be eliminated, and a 27-point scheme results on the vertices unknowns for a hexahedral structured mesh. Numerical results show the efficiency of the scheme in various situations, including miscible gas injection.
MSC2010: 65M08,76S05
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Work sponsored by GNR MOMAS and ANR VFSitCom.
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Eymard, R., Guichard, C., Herbin, R., Masson, R. (2011). Multiphase Flow in Porous Media Using the VAG Scheme. In: Fořt, J., Fürst, J., Halama, J., Herbin, R., Hubert, F. (eds) Finite Volumes for Complex Applications VI Problems & Perspectives. Springer Proceedings in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20671-9_43
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DOI: https://doi.org/10.1007/978-3-642-20671-9_43
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