MATHICSE Technical Report : Multiscale model reduction methods for flow in heterogeneous porous media
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A unified numerical framework is presented for the modelling of multiphasic viscoelasticand elastic flows. The rheologies considered range from incompressible Newtonian orOldroyd-B viscoelastic fluids to Neo-Hookean elastic solids. The model is formulatedi ...
Permeability is a key physical property across all spatial scales in the Earth’s crust and exerts significant control on the behaviour of Earth systems, with implications for natural hazards (e.g., earthquakes, slope instabilities, volcanic eruptions) and ...
We consider fluid flows, governed by the Navier-Stokes equations, subject to a steady symmetry-breaking bifurcation and forced by a weak noise acting on a slow timescale. By generalizing the multiple-scale weakly nonlinear expansion technique employed in t ...
To enforce the conservation of mass principle, a pressure Poisson equation arises in the numerical solution of incompressible fluid flow using the pressure-based segregated algorithms such as projection methods. For unsteady flows, the pressure Poisson equ ...
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The effects of apparatus-induced dispersion on nonuniform, density-dependent flow in a cylindrical soil column were investigated using a finite-element model. To validate the model, the results with an analytical solution and laboratory column test data we ...
In this work we show that, in the class of L-infinity((0,T); L-2(T-3)) distributional solutions of the incompressible Navier-Stokes system, the ones which are smooth in some open interval of times are meagre in the sense of Baire category, and the Leray on ...
Permeability is defined here from the equations of fluid flow through porous media. It represents, for composite reinforcements, a measure for their ease of impregnation by a fluid resin. Modeling of the saturated permeability tensor is presented using a h ...
We consider nonlinear dynamical systems driven by stochastic forcing. It has been largely evidenced in the literature that the linear response of non-normal systems (e.g. fluid flows) may exhibit a large variance amplification, even in a linearly stable re ...
Hypothesis: The dynamics of colloidal suspension confined within porous materials strongly differs from that in the bulk. In particular, within porous materials, the presence of boundaries with complex shapes entangles the longitudinal and transverse degre ...
