M.R. Correa and M.R. Borges A semi-discrete central scheme for scalar hyperbolic conservation laws with heterogeneous storage coefficient and its application to porous media flow International Journal for Numerical Methods in Fluids 73
In this paper, (i) a new semi-discrete central scheme for a scalar conservation law, which allows for spatial variability of the storage coefficient, is developed; (ii) the application of the new scheme to two-phase flow in strongly heterogeneous porous media is discussed; and (iii) comparisons with the uncorrelated porosity/permeability case and homogeneous porosity with linear and nonlinear flux functions are presented.
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