NDLI: Reduced Order Modeling Applied to the Discrete Ordinates Method for Radiation Heat Transfer in Participating Media

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Tencer, John Carlberg, Kevin Hogan, Roy Larsen, Marvin
Copyright Year	2016
Abstract	Radiation heat transfer is an important phenomenon in many physical systems of practical interest. When participating media is important, the radiative transfer equation (RTE) must be solved for the radiative intensity as a function of location, time, direction, and wavelength. In many heat transfer applications, a quasi-steady assumption is valid. The dependence on wavelength is often treated through a weighted sum of gray gases type approach. The discrete ordinates method is the most common method for approximating the angular dependence. In the discrete ordinates method, the intensity is solved exactly for a finite number of discrete directions, and integrals over the angular space are accomplished through a quadrature rule. In this work, a projection-based model reduction approach is applied to the discrete ordinates method. A small number or ordinate directions are used to construct the reduced basis. The reduced model is then queried at the quadrature points for a high order quadrature in order to inexpensively approximate this highly accurate solution. This results in a much more accurate solution than can be achieved by the low-order quadrature alone. One-, two-, and three-dimensional test problems are presented.
Sponsorship	Heat Transfer Division
File Format	PDF
ISBN	9780791850336
DOI	10.1115/HT2016-7010
Volume Number	Volume 2: Heat Transfer in Multiphase Systems; Gas Turbine Heat Transfer; Manufacturing and Materials Processing; Heat Transfer in Electronic Equipment; Heat and Mass Transfer in Biotechnology; Heat Transfer Under Extreme Conditions; Computational Heat Transfer; Heat Transfer Visualization Gallery; General Papers on Heat Transfer; Multiphase Flow and Heat Transfer; Transport Phenomena in Manufacturing and Materials Processing
Conference Proceedings	ASME 2016 Heat Transfer Summer Conference collocated with the ASME 2016 Fluids Engineering Division Summer Meeting and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels
Language	English
Publisher Date	2016-07-10
Publisher Place	Washington, DC, USA
Access Restriction	Subscribed
Subject Keyword	Gases Radiation (physics) Modeling Heat transfer Wavelength Radiative heat transfer
Content Type	Text
Resource Type	Article

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