Rigorous upscaling of rough boundaries for reactive flows

DOI10.1002/zamm.201200226zbMath1297.76191OpenAlexW2145438049MaRDI QIDQ2922259

Kundan Kumar, M. van Helvoort, Iuliu Sorin Pop

Publication date: 9 October 2014

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/rigorous-upscaling-of-rough-boundaries-for-reactive-flows(f5e68746-7b31-4d0f-9717-1d8c6021e0b1).html

zbMATH Keywords

homogenizationreactive flowsrough boundaries

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Reaction effects in flows (76V05)

Related Items (4)

Multiscale extended finite element method for deformable fractured porous media ⋮ Adaptive multiscale extended finite element method (MS-XFEM) for the simulation of multiple fractures propagation in geological formations ⋮ Analysis of convective heat transfer in channel flow with arbitrary rough surface ⋮ Multiscale analysis of a carcinogenesis model

Cites Work

• Homogenization in a thin domain with an oscillatory boundary
• Homogenization of a reaction-diffusion system modeling sulfate corrosion of concrete in locally periodic perforated domains
• Diffusion, convection, adsorption, and reaction of chemicals in porous media
• The best Sobolev trace constant in a domain with oscillating boundary
• The boundary-value problem in domains with very rapidly oscillating boundary
• Effective boundary conditions for laminar flows over periodic rough boundaries
• A boundary value problem for the Poisson equation with multi-scale oscillating boundary
• A non-stationary multi-scale oscillating free boundary for the Laplace and heat equations
• Upscaling of reactive flows in domains with moving oscillating boundaries
• Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium
• Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale
• Effective Transmission Conditions for Reaction-Diffusion Processes in Domains Separated by an Interface
• Derivation of a Macroscopic Receptor-Based Model Using Homogenization Techniques
• A Numerical Scheme for the Pore-Scale Simulation of Crystal Dissolution and Precipitation in Porous Media
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Boundary layer tails in periodic homogenization
• New Wall Laws for the Unsteady Incompressible Navier-Stokes Equations on Rough Domains
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
• The Periodic Unfolding Method in Homogenization
• Diffusion with dissolution and precipitation in a porous medium: Mathematical analysis and numerical approximation of a simplified model
• Effective laws for the Poisson equation on domains with curved oscillating boundaries
• Crystal precipitation and dissolution in a thin strip
• On the roughness-induced effective boundary conditions for an incompressible viscous flow

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