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IRSN, Institut de radioprotection et de sûreté nucléaire

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Enhancing Nuclear Safety


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Approximation of compressible two phase flow in porous média combining mixed finite élément and finite volume methods


Congress title :SIAM Conference on Mathematical and Computational Issues in the Geosciences
Congress location :Santa Fe
Congress date :19/03/2007

Summary

We solve a System of coupled parabolic équation and nonlinear convection-diffusion équation. The MFE method is employed for the parabolic équation. A Godunov-type FV method is applied for the convective term and a conforming FE method with piecewise linear éléments is used for the dispersion term. The results of convergence as well as L°° and BV estimâtes are shown. Numerical simulations are given for a 2D problem related to nuclear waste repository.
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