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
—