A half space moment approximation to the radiative heat transfer equations

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 83, Issue 12, 2003, Pages 853-858

  Dubroca, B ^a   Frank, M ^b   Klar, A ^b   Thommes G ^b  

^a CEA CESTA   (France)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Entropy minimization; Moment methods; Radiative transfer equations

Indexed keywords

EID: 0346335719     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.200310055     Document Type: Article

References (16)

1. T. A. Brunner and J. P. Holloway, One-dimensional Riemann solvers and the maximum entropy closure, J. Quant. Spectrosc. Radiat. Transf. 69, 543-566 (2001).
2. A. M Anile, S. Pennisi, and M. Sammartino, A thermodynamical approach to Eddington factors, J. Math. Phys. 32, 544-550 (1991).
3. B. Dubroca and J. L. Feugeas, Moment model hierachy for radiative transfer equations, preprint.
4. B. Dubroca and A. Klar, Half moment closure for radiative transfer equations, J. Comput. Phys., to appear.
5. M. Frank and R. Pinnau, Analysis of a half moment model for radiative heat transfer equations, in preparation.
6. M. Junk, Domain of definition of Levermore's five-moment system, J. Stat. Phys. 93, 1143-1167 (1998).
7. E.W. Larsen and J. B. Keller, Asymptotic solution of neutron transport problems for small mean free path, J. Math. Phys. 15, 75 (1974).
8. n approximations to the equations of radiative heat transfer in glass, J. Comput. Phys., to appear.
9. P. LeTallec and J. P. Perlat, Numerical analysis of Levermores moment system, Preprint INRIA RR-3124 (1997).
10. C. D. Levermore, Relating Eddington factors to flux limiters, J. Quant. Spectrosc. Radiat. Transf. 31, 149-160 (1984).
11. I. Müller and T. Ruggeri, Rational Extended Thermodynamics (Springer, New York, 1998).
12. O. Ore, Entropy of radiation, Phys. Rev. 98, 887 (1955).
13. P. Rosen, Entropy of radiation, Phys. Rev. 96, 555 (1954).
14. H. Struchtrup, On the number of moments in radiative transfer problems, Ann. Phys. (USA) 266, 1-26 (1998).
15. H. Struchtrup, Kinetic schemes and boundary conditions for moment equations, Z. Angevv. Math. Phys. 51, 346-365 (2000).
16. 1 model for the radiative transfer equation, C.R. Acad. Sci. I, Math. (France) 334, 331-336 (2002).