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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F11%3A%230001844" target="_blank" >RIV/46747885:24220/11:#0001844 - isvavai.cz</a>

  • Result on the web

    <a href="http://dl.acm.org/citation.cfm?id=1985054&CFID=95736436&CFTOKEN=87909795" target="_blank" >http://dl.acm.org/citation.cfm?id=1985054&CFID=95736436&CFTOKEN=87909795</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.cam.2011.03.016" target="_blank" >10.1016/j.cam.2011.03.016</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/FR-TI1%2F362" target="_blank" >FR-TI1/362: Research of properties of materials for safe disposal of radioactive waste and development of procedures for their assessment</a><br>

  • Continuities

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

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Computational and Applied Mathematics

  • ISSN

    0377-0427

  • e-ISSN

  • Volume of the periodical

    235

  • Issue of the periodical within the volume

    14

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    16

  • Pages from-to

    4221-4236

  • UT code for WoS article

  • EID of the result in the Scopus database