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Hybrid Methods in Engineering

ISSN Print: 1099-2391
ISSN Online: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v1.i1.10
18 pages

A CLOSED-FORM SOLUTION TO THE ONE-DIMENSIONAL LINEAR AND NONLINEAR RADIATIVE TRANSFER PROBLEM

Marco T. Vilhena
Departamento de Engenharia Mecânica, Instituto de Matematica Aplicada, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil
L. B. Barichello
Instituto de Matematica, Universidade Federal do Rio Grande do Sul, 91509-900 Porto Alegre, RS, Brazil
Member of Editorial Board
2008 - 2008 Journal: TEMA. Trends in Computational and Applied Mathematics
Reviewer of Journals
2006 - 2006 Journal: Journal of the Brazilian Society of Mechanical Sciences and Engineering
2006 - 2006 Journal: Journal of Physics D. Applied Physics
2005 - Present Journal: Physics of Fluids
2005 - Present Journal: Journal of Computational and Applied Mathematics
2005 - Present Journal: European Journal of Mechanics. B, Fluids
2005 - 2005 Journal: Transport Theory and Statistical Physics
2004 - 2004 Journal: Journal of Quantitative Spectroscopy and Radiative Transfer
2004 - 2004 Journal: Journal of Micromechanics and MicroEngineering
2004 - 2004 Journal: TEMA. Trends in Computational and Applied Mathematics
2006 - 2006 Journal: Physica. A
2007 - 2007 Journal: Journal of Physics. A, Mathematical and General
2007 - 2007 Journal: Journal of Physics. A, Mathematical and Theoretical
2007 - 2007 Journal: Microfluidics and nanofluidics
2007 - Present Journal: Inverse Problems in Science and Engineering
2008 - Present Journal: Computational and Applied Mathematics
2009 - Present Journal: Progress in Nuclear Energy

ABSTRACT

The LTSN method, combined with the decomposition method, is used to develop a closed-form solution to one-dimensional linear and nonlinear discrete ordinates radiative transfer problems. The extension of this procedure to all one-dimensional approximations of the transport equations, displayed as a set of first-order linear differential equations, is also presented. Our attention is focused on the topics of derivation and review of some applications of the discussed method.


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