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Stabilized mixed finite element method for the M1 radiation model

Author
Schmid, Q.; Mesri, Y.; Hachem, E.; Codina, R.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2018-06
Volume
335
First page
69
Last page
69
DOI
https://doi.org/10.1016/j.cma.2018.01.046 Open in new window
Repository
http://codina.rmee.upc.edu/artweb/artweb-s-140.pdf Open in new window
http://hdl.handle.net/2117/116129 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0045782516310180 Open in new window
Abstract
In this work, we present a computational approach for the numerical simulation of thermal radiation. Radiation is modeled by solving a set of two coupled partial differential equations, the so-called M1 model. A Variational Multiscale method is developed for this system, and tested on some illustrative benchmarks. The question of dealing with heterogeneous physical properties is also considered, and treated by means of an immersed method. It combines a level-set approach for representation of in...
Citation
Schmid, Q., Mesri, Y., Hachem, E., Codina, R. Stabilized mixed finite element method for the M1 radiation model. "Computer methods in applied mechanics and engineering", Juny 2018, vol. 335, p. 69.
Keywords
Variational multiscale method Stabilized finite elements Radiation Immersed volume method Monolithic approach
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants

  • Schmid, Quentin  (author)
  • Mesri, Youssef  (author)
  • Hachem, Elie  (author)
  • Codina Rovira, Ramon  (author)