We present a two-scale finite element method (FEM) for solving Brinkman's and Darcy's equations. These systems of equations model fluid flows in highly porous media, respectively. The uses recently proposed discontinuous Galerkin FEM Stokes' by Wang Ye the concept subgrid approximation developed Arbogast In order to reduce "resonance error" ensure convergence global fine solution, algorithm is put framework alternating Schwarz iterations using subdomains around coarse-grid boundaries....

We use a two-scale continuum model to simulate reactive flow and wormhole formation in carbonate rocks under 3-D radial conditions. More specifically, we present new structure-property relationship based on the fractal geometry theory, describe evolution of local permeability, pore radius, specific area with porosity variation. In numerical calculation, improve convergence rate, heterogeneous medium question is extended by adding thin layer homogeneous porous its inlet. compare simulation...

Abstract We extend the multiscale finite element method (MsFEM) as formulated by Hou and Wu in [Hou T.Y., X.-H., A for elliptic problems composite materials porous media, J. Comput. Phys., 1997, 134(1), 169–189] to PDE system of linear elasticity. The application, motivated analysis highly heterogeneous materials, is twofold. Resolving heterogeneities on finest scale, we utilize MsFEM basis construction robust coarse spaces context two-level overlapping domain decomposition preconditioners....

Pore-scale modeling and simulation of reactive flow in porous media has a range diverse applications, poses number research challenges. It is known that the morphology medium significant influence on local rate, which can have substantial impact rate chemical reactions. While there are large papers software tools dedicated to simulating either fluid 3D computerized tomography (CT) images or using porenetwork models, little attention date been focused pore-scale sorptive transport CT images,...

Injection of CO2 into carbonate rocks causes dissolution and alters rock transport properties. The extent the permeability increases, due to increased pore volume connectivity, strongly depends on regimes reactions. Identification these their parametrization at microscopic scale is required for an understanding injection processes, and, afterward, calculating effective macroscopic parameters field-scale simulations. Currently, a commonly used approach Pore Network Method, PNM, but better...

We consider certain computational aspects of upscaling fluid flows through deformable porous media. start with pore level models and discuss upscaled (homogenized) equations respective cell problems. Analytical solution a problem in geometry, as well an accurate numerical procedure for the general case, are presented. A microscale (pore level) fluid-structure interaction (FSI) is formulated terms incompressible Newtonian linearized elastic solid. At least three different macroscopic can be...

A large class of industrial composite materials, such as metal foams, fibrous glass mineral wools, and the like, are widely used in insulation advanced heat exchangers. These materials characterized by a substantial difference between thermal properties highly conductive (glass or metal) insulator (air) well low volume fractions complex network-like structures components. In this paper we address important issue for engineering practice developing fast, reliable, accurate methods computing...

A modified finite difference approximation for interface problems in Rn, n=1,2,3, is presented. The essence of the modification falls simultaneous discretization any two normal components flux at opposite faces volume. In this way, continuous component through an approximated by differences with second-order consistency. derived scheme has a minimal (2n+1)-point stencil Rn. Second-order convergence respect to discrete H1 -norm proved class problems. pointwise observed series numerical...

Abstract The performance of oil filters used in the automotive industry can be significantly improved, especially when computer simulation is an essential component design process. In this paper, we consider parallel numerical algorithms for solving mathematical models describing process filtration, filtering solid particles out liquid oil. Navier — Stokes Brinkmann system equations to describe laminar flow incompressible isothermal space discretization complicated filter geometry based on...

This study aims to investigate the sedimentation and consolidation of packed bed/cake formed due monodispersed bidispersed particles under different flow conditions. Mutual interactions between liquid are considered by using a polydispersed drag model. The attractive force is JKR Sensitivity void fraction sedimented particle–particle interaction parameters studied. Furthermore, effect fluid analyzed performing simulations in two stages. In first stage, absence forces second stage through...

Catalytic membranes can degrade gaseous pollutants to clean gas via a catalytic reaction achieve green emissions. Further, membrane is three scale porous medium. Membranes used in filters usually have thicknesses of centimeters or millimeters, and consist active (washcoat) particles, inert material microscale, micron size, pores. The washcoat particles are with nanoscale reactions heterogeneous (surface reactions) they occur on the surface nanopores. Obviously, simulations at fully resolved...

Recent measurements on the dissolution rate of nano- and micron-scale rough calcite surfaces have shown lateral variations in rate, which can be quantified using spectra. This study uses numerical simulations to investigates hydrodynamic processes during such experiments explore whether effects explain observed For this purpose, we simulated COMSOL Multiphysics. We imposed surface topographies local reaction rates measured Vertical Scanning Interferometry (VSI), implemented same flow (i.e.,...