Combined higher order finite volume and finite elment scheme for double porosity and non-linear adsorbtion of transport problem in porous media

Kód výsledku v IS VaVaI

RIV/46747885:24220/11:#0001844 - isvavai.cz

Výsledek na webu

http://dl.acm.org/citation.cfm?id=1985054&CFID=95736436&CFTOKEN=87909795

DOI - Digital Object Identifier

10.1016/j.cam.2011.03.016

Jazyk výsledku

angličtina

Název v původním jazyce

Combined higher order finite volume and finite elment scheme for double porosity and non-linear adsorbtion of transport problem in porous media

Popis výsledku v původním jazyce

In this work, a dual porosity model of reactive solute transport in porous media is presented. This model consists of a nonlinear-degenerate advection-diffusion equation including equilibrium adsorption to the reaction combined with a first-order equation for the non-equilibrium adsorption interaction processes. The numerical scheme for solving this model involves a combined high order finite volume and finite element scheme for approximation of the advection-diffusion part and relaxation-regularized algorithm for nonlinearity-degeneracy. The combined finite volume-finite element scheme is based on a new formulation developed by Eymard et al. (2010) [10]. This formulation treats the advection and diffusion separately. The advection is approximated by asecond-order local maximum principle preserving cell-vertex finite volume scheme that has been recently proposed whereas the diffusion is approximated by a finite element method. The result is a conservative, accurate and very flexible a

Název v anglickém jazyce

Combined higher order finite volume and finite elment scheme for double porosity and non-linear adsorbtion of transport problem in porous media

Popis výsledku anglicky

In this work, a dual porosity model of reactive solute transport in porous media is presented. This model consists of a nonlinear-degenerate advection-diffusion equation including equilibrium adsorption to the reaction combined with a first-order equation for the non-equilibrium adsorption interaction processes. The numerical scheme for solving this model involves a combined high order finite volume and finite element scheme for approximation of the advection-diffusion part and relaxation-regularized algorithm for nonlinearity-degeneracy. The combined finite volume-finite element scheme is based on a new formulation developed by Eymard et al. (2010) [10]. This formulation treats the advection and diffusion separately. The advection is approximated by asecond-order local maximum principle preserving cell-vertex finite volume scheme that has been recently proposed whereas the diffusion is approximated by a finite element method. The result is a conservative, accurate and very flexible a

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

FR-TI1/362: Výzkum vlastností materiálů pro bezpečné ukládání radioaktivních odpadů a vývoj postupů jejich hodnocení

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational and Applied Mathematics

ISSN

0377-0427

e-ISSN

—

Svazek periodika

235

Číslo periodika v rámci svazku

14

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

16

Strana od-do

4221-4236

Kód UT WoS článku

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EID výsledku v databázi Scopus

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