Study of a finite volume - finite element scheme for a nuclear transport model
Numerical Analysis
2007-05-23 v1
Abstract
We consider a problem of nuclear waste contamination. It takes into account the thermal effects. The temperature and the contaminant's concentration fulfill convection-diffusion-reaction equations. The velocity and the pressure in the flow satisfy the Darcy equation, with a viscosity depending on both concentration and temperature. The equations are nonlinear and strongly coupled. Using both finite volume and nonconforming finite element methods, we introduce a scheme adapted to this problem. We prove the stability and convergence of this scheme and give some error estimates.
Keywords
Cite
@article{arxiv.0704.1286,
title = {Study of a finite volume - finite element scheme for a nuclear transport model},
author = {Catherine Choquet and Sebastien Zimmermann},
journal= {arXiv preprint arXiv:0704.1286},
year = {2007}
}
Comments
preprint; 26 pages; no figures