Homogenization of a convection-diffusion model with reaction in a porous medium
From MaRDI portal
Publication:883413
DOI10.1016/j.crma.2007.03.008zbMath1114.35007OpenAlexW2021647877MaRDI QIDQ883413
Anne-Lise Raphael, Grégoire Allaire
Publication date: 4 June 2007
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2007.03.008
Reaction-diffusion equations (35K57) Degenerate parabolic equations (35K65) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)
Related Items
Numerical homogenization method for parabolic advection-diffusion multiscale problems with large compressible flows ⋮ The role of the relative fluid velocity in an objective continuum theory of finite strain poroelasticity ⋮ Analytical and variational numerical methods for unstable miscible displacement flows in porous media ⋮ On the Periodic Homogenization of Elliptic Equations in Nondivergence Form with Large Drifts ⋮ Upscaling coupled heterogeneous diffusion reaction equations in porous media ⋮ On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption ⋮ Homogenization of nonlinear reaction-diffusion equation with a large reaction term ⋮ Upscaling diffusion-reaction in porous media ⋮ Convergence Along Mean Flows ⋮ A homogenization approach to flashing ratchets ⋮ An FFT method for the computation of thermal diffusivity of porous periodic media ⋮ Finite element approximation of elliptic homogenization problems in nondivergence-form ⋮ Homogenization and concentration for a diffusion equation with large convection in a bounded domain ⋮ Discontinuous Galerkin finite element heterogeneous multiscale method for advection-diffusion problems with multiple scales ⋮ Homogenization of a nonstationary convection-diffusion equation in a thin rod and in a layer ⋮ RIGOROUS DERIVATION OF A HYPERBOLIC MODEL FOR TAYLOR DISPERSION ⋮ A note on homogenization of advection-diffusion problems with large expected drift ⋮ Multiscale Finite Element Methods for Advection-Dominated Problems in Perforated Domains ⋮ A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift ⋮ A survey on properties of Nernst-Planck-Poisson system. Application to ionic transport in porous media ⋮ Asymmetric potentials and motor effect: a homogenization approach ⋮ A spectral approach for homogenization of diffusion and heterogeneous reaction in porous media ⋮ Homogenized model for diffusion and heterogeneous reaction in porous media: numerical study and validation. ⋮ A priori error estimate of a multiscale finite element method for transport modeling ⋮ On the homogenization of multicomponent transport
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization of a spectral problem in neutronic multigroup diffusion.
- Dispersion, convection, and reaction in porous media
- Convection of Microstructure and Related Problems
- Homogenization and Two-Scale Convergence
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogenization of a diffusion equation with drift
- Homogenization of a neutronic critical diffusion problem with drift
- Dispersion resulting from flow through spatically periodic porous media II. Surface and intraparticle transport
- Rigorous Upscaling of the Reactive Flow through a Pore, under Dominant Peclet and Damkohler Numbers
- Homogenization of a Nonlinear Convection-Diffusion Equation with Rapidly Oscillating Coefficients and Strong Convection
