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arXiv · 0704.1286

Study of a finite volume - finite element scheme for a nuclear transport model

Catherine Choquet·Sebastien Zimmermann
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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.

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Catherine Choquet, Sebastien Zimmermann. 2007-04-10. Study of a finite volume - finite element scheme for a nuclear transport model. https://arxiv.org/abs/0704.1286

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