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Journal of the Brazilian Society of Mechanical Sciences and Engineering

Print version ISSN 1678-5878

Abstract

SESINI, Paula A.; SOUZA, Denis A. F. de  and  COUTINHO, Alvaro L. G. A.. Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios. J. Braz. Soc. Mech. Sci. & Eng. [online]. 2010, vol.32, n.3, pp. 292-299. ISSN 1678-5878.  http://dx.doi.org/10.1590/S1678-58782010000300013.

Numerical simulations of viscous fingering instabilities in miscible displacements at high mobility-ratios are presented. Anisotropic dispersion and monotonic viscosity profiles are considered. The coupled set of partial differential equations is approximated by the semi-discrete SUPG stabilized finite element formulation plus a discontinuity capturing technique to improve stability around the moving sharp fronts. The pressure equation is discretized by the standard Galerkin method, and a post-processing scheme is used to improve the numerical evaluation of Darcy's velocity. In the resulting scheme all variables (concentration, pressure and velocity) are approximated by equal order linear triangular elements. A homogeneous channel and a radial system were studied. Complex nonlinear viscous fingering mechanisms for high mobility-ratio miscible displacements were observed.

Keywords : viscous fingering; miscible displacement; stabilized finite elements.

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