Abstract
In this paper, a block-centered finite difference method is derived for the Darcy-Forchheimer compressible wormhole propagation in porous media by introducing an auxiliary flux variable to guarantee full mass conservation. Error estimates for the pressure, velocity, porosity, concentration, and auxiliary flux in different discrete norms are established rigorously and carefully on nonuniform grids. Finally, some numerical experiments are demonstrated to verify the theoretical analysis and effectiveness of the given scheme.
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