Control of modeling errors in the coupling between linear transport and diffusion models.
Pré-print du CMLA 2012-12 - version du 21 août 2012
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Auteurs : Ludovic Chamoin, Laurent Desvillettes
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 entering 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 a modeling error estimation method, coupled to an associated algorithm enabling to adapt the surrogate model if necessary.
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 entering 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 a modeling error estimation method, coupled to an associated algorithm enabling to adapt the surrogate model if necessary.
- Type :
- Publication