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Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures
(ELSEVIER SCIENCE SA, 2010)
We design and investigate a sequential discontinuous Galerkin method to approximate two-phase immiscible incompressible flows in heterogeneous porous media with discontinuous capillary pressures. The nonlinear interface ...
A discontinuous method for oil-water flow in heterogeneous porous media
(2016)
An oil-water flow-transport problem in a heterogeneous porous medium (HPM), given by the Brinkman model coupled with a fractional flow formulation, is solved numerically by a discontinuous finite volume element (DFVE) ...
Heterogeneous Porous Media Simulation
(Asociación Argentina Mecánica Computacional, 2018-11)
Intracranial aneurysms are vascular disorders in which weakness in the wall of a cerebral artery or vein causes a localized dilation of the blood vessel. Flow diversion is an endovascular technique where a flow diverter ...
Discontinuous approximation of viscous two-phase flow in heterogeneous porous media
(2016)
Runge–Kutta Discontinuous Galerkin (RKDG) and Discontinuous Finite Volume Element (DFVE) methods are applied to a coupled flow-transport problem describing the immiscible displacement of a viscous incompressible fluid in ...
Lagrangian scheme to model subgrid-scale mixing and spreading in heterogeneous porous media
(American Geophysical Union, 2017)
Small-scale heterogeneity of permeability controls spreading, dilution, and mixing of solute
plumes at large scale. However, conventional numerical simulations of solute transport are unable to resolve
scales of heterogeneity ...