Abstract
SUMMARY An adaptive deforming-grid mixed-variable finite element method for solving two-dimensional porous-media transport problems governed by a system of coupled nonlinear partial differential evolution equations, is presented. The advantages of this methodology over standard fixed-grid formulations in improving solution accuracy and yielding better computational stability characteristics are discussed and demonstrated through solution of a representative set of problems. Accordingly, extremely accurate solutions were computed not only for the primary variables but also their fluxes, with a very small fixed number of deforming and moving finite elements, for a set of transient high Péclet number porous-media convection-diffusion (continuous moving front) problems and also for the front motion (discrete moving front) during resaturation by water of a porous rock.
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