Year: 2012
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 149–168
Abstract
A modification of the modified method of characteristics (MMOC) is introduced for solving the coupled system of partial differential equations governing miscible displacement in porous media . The pressure-velocity is approximated by a mixed finite element procedure using a Raviart-Thomas space of index $k$ over a uniform grid. The resulting Darcy velocity is post-processed by convolution with Bramble-Schatz kernel and this enhanced velocity is used in the evaluation of the coefficients in MMOC for the concentration equation. If the concentration space is of local degree $l$, then, the error in the concentration is $O(h^{l+1}_c+h^{2k+2}_p)$, which reflects the superconvergence of velocity approximation.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2012-IJNAM-617
International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 1 : pp. 149–168
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Porous medium flow characteristic methods Bramble-Schatz kernel convolution convergence analysis.