Control of modeling errors in the coupling of linear transport and diffusion models

Abstract : We consider in this paper the initial-boundary value problem for the 1D neutron transport equation with isotropic scattering, set in some bounded interval with inflow boundary conditions. The usual parabolic scaling yields the diffusive limit. A surrogate model, coupling transport and diffusion equations, is then introduced in order to accurately assess the value of specific quantities of interest. The control of the quality of the computation (with respect to such a quantity of interest) is performed by means of an approach for modeling error estimation combined with an adaptive strategy to control the surrogate model, if necessary.
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Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 261-262, pp.83-95. 〈10.1016/j.cma.2013.04.004〉
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https://hal.archives-ouvertes.fr/hal-01580006
Contributeur : Ludovic Chamoin <>
Soumis le : jeudi 31 août 2017 - 23:16:52
Dernière modification le : mardi 3 juillet 2018 - 11:30:03

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Ludovic Chamoin, Laurent Desvillettes. Control of modeling errors in the coupling of linear transport and diffusion models. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2013, 261-262, pp.83-95. 〈10.1016/j.cma.2013.04.004〉. 〈hal-01580006〉

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