A new numerical method for solving the Boltzmann transport equation using the PN method and the discontinuous finite elements on unstructured and curved meshes-Reference-Cited by-同舟云学术

A new numerical method for solving the Boltzmann transport equation using the PN method and the discontinuous finite elements on unstructured and curved meshes

Published:2019-11 Issue: Volume:397 Page:108801
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Bourhrara Lahbib

Funder

EDF

Framatome

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference22 articles.

1. Finite Element Methods for Particle Transport: Applications to Reactor and Radiation Physics;Ackroyd,1997

2. Theoretical Numerical Analysis. A Functional Analysis Framework;Atkinson,2005

3. Spherical harmonics solutions to second order forms of the Boltzmann transport equation using particle transport code SCEPTRE;Bielen,2008

4. New variational formulations for the neutron transport equation;Bourhrara;Transp. Theory Stat. Phys.,2004

5. H1 approximations of the neutron transport equation and associated diffusion equations;Bourhrara;Transp. Theory Stat. Phys.,2006

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