NDLI: On the Equivalence of the Discontinuous One- and Two-Domain Approaches for the Modeling of Transport Phenomena at a Fluid/Porous Interface

Content Provider	Springer Nature Link
Author	Jamet, D. Chandesris, M. Goyeau, B.
Copyright Year	2008
Abstract	In the quest (i) to determine the form of the boundary conditions that must be applied at a fluid/porous interface and (ii) to determine the value of the jump parameters that appear in the expression for these boundary conditions, two different approaches are commonly considered: the so-called one-domain and two-domain approaches. These approaches are commonly thought to be different, and they are thus sometimes compared to each other to determine the value of jump parameters. In this article, we show that the two-domain and discontinuous one-domain approaches are actually strictly equivalent, provided that the latter is mathematically interpreted in the sense of distributions. This equivalence is shown in details for a heat conduction problem and for the more classical Darcy-Brinkman problem. We show in particular that interfacial jumps are introduced in the discontinuous one-domain approach through Dirac delta functions. Numerical issues are then discussed that show that subtle discretization truncation errors give rise to large variations that can be mis-interpreted as the sign of the existence of jump parameters.
Starting Page	403
Ending Page	418
Page Count	16
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	78
Issue Number	3
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-12-30
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Porous media Interface Jump conditions One-domain Two-domain Simulation Mechanics, Fluids, Thermodynamics Hydrogeology Civil Engineering Industrial Chemistry/Chemical Engineering Geotechnical Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Turbulent Flow Around Fluid–Porous Interfaces Computed with a Diffusion-Jump Model for k and ε Transport Equations

Jump Conditions and Surface-Excess Quantities at a Fluid/Porous Interface: A Multi-scale Approach

Closure Conditions for Two-Fluid Flow in Porous Media

Special Issue on “Transport Phenomena at the Interface Between Fluid and Porous Domains” : A Preface

Modeling Effective Interface Laws for Transport Phenomena Between an Unconfined Fluid and a Porous Medium Using Homogenization

Modeling Low Intensity Coupled Transport Processes in Fluid-Saturated Porous Media

The Discontinuous Solutions of the Transport Equations for Compositional Flow in Porous Media

Diffuse-interface Modeling of Two-phase Flow for a One-component Fluid in a Porous Medium

Contaminant Transport in Fractured Media with Sources in the Porous Domain

On the Equivalence of the Discontinuous One- and Two-Domain Approaches for the Modeling of Transport Phenomena at a Fluid/Porous Interface

Similar Documents

Turbulent Flow Around Fluid–Porous Interfaces Computed with a Diffusion-Jump Model for k and ε Transport Equations

Jump Conditions and Surface-Excess Quantities at a Fluid/Porous Interface: A Multi-scale Approach

Closure Conditions for Two-Fluid Flow in Porous Media

Special Issue on “Transport Phenomena at the Interface Between Fluid and Porous Domains” : A Preface

Modeling Effective Interface Laws for Transport Phenomena Between an Unconfined Fluid and a Porous Medium Using Homogenization

Modeling Low Intensity Coupled Transport Processes in Fluid-Saturated Porous Media

The Discontinuous Solutions of the Transport Equations for Compositional Flow in Porous Media

Diffuse-interface Modeling of Two-phase Flow for a One-component Fluid in a Porous Medium

Contaminant Transport in Fractured Media with Sources in the Porous Domain

On the Equivalence of the Discontinuous One- and Two-Domain Approaches for the Modeling of Transport Phenomena at a Fluid/Porous Interface