- Author
- Gritzo, L. A. | Strickland, J. H. | Desjarkin, P. E.
- Title
- Radiation in an Emitting and Absorbing Medium: A Gridless Approach.
- Coporate
- Sandia National Labs., Albuquerque, NM
- Report
- SAND2000-0960, April 2000, 91 p.
- Distribution
- AVAILABLE FROM National Technical Information Service (NTIS), Technology Administration, U.S. Department of Commerce, Springfield, VA 22161. Telephone: 1-800-553-6847 or 703-605-6000; Fax: 703-605-6900; Rush Service (Telephone Orders Only) 800-553-6847; Website: http://www.ntis.gov
- Contract
- DE-AC04-94AL85000
- Keywords
- radiation heat flux | equations | formulations | heat transfer | temperature field | temperature distribution
- Identifiers
- gridless radiation formulations; variable absorptivity treatment; one-dimensional fast multipole method; three-dimensional fast multipole method; one-dimensional radiation simulations; three-dimensional radiation simulations; axisymmetric simulations
- Abstract
- A gridless technique for the solution of the integral form of the radiative heat flux equation for emitting and absorbing media is presented. We have developed this technique to yield solutions of participating media radiative heat transfer in a manner that is compatible with numerical simulation of the flow and temperature fields by gridless vortex and transport element methods, respectively. In this report, we provide gridless radiation formulas for one-dimensional, axisymmetric, and three-dimensional geometries as well as an overview of the transport element method. As part of this work, we have developed fast solution techniques for extracting radiative heat flux quantities from the temperature fields of one-dimensional and three-dimensional geometries. Using our one-dimensional formulation for several simple cases, we show that our technique yields significantly more accurate solutions when compared to those methods that use some simplification in the governing equations. For complex one-dimensional temperature distributions, we efficiently simulate radiative heat transfer of highly resolved multiple flame sheets by employing our one-dimensional fast solver. We also show how the three-dimensional fast solver may be used to efficiently compute radiation at a point from both volumetric and grey wall sources.