COMPARISON OF DISCRETE ORDINATES FORMULATIONS FOR RADIATIVE HEAT-TRANSFER IN MULTIDIMENSIONAL GEOMETRIES

被引:62
作者
FIVELAND, WA
JESSEE, JP
机构
[1] Babcock and Wilcox, Alliance, OH
[2] Numerical Modeling Section, Research and Development Division
关键词
D O I
10.2514/3.627
中图分类号
O414.1 [热力学];
学科分类号
摘要
This article compares predictions of radiative heat transfer in two-dimensional enclosures for several formulations of the discrete ordinates method. The discrete ordinates equations are formulated for an absorbing, isotropically scattering, and re-emitting medium enclosed by gray walls. Control volume based finite element formulations of the radiative transport equation (RTE) are presented for the primitive variable (PV) and even parity (EP) equations. These formulations are compared to the finite element formulation of the EP equations, to the control volume formulation of the PV radiative transport equation, and to exact solutions, Several test enclosures are modeled, including enclosures with either absorbing or isotropically scattering media. Solution accuracy is investigated for two angular discretization schemes: 1) the S-n discrete ordinates approximation and 2) the piecewise constant angular approximation. The PV formulations of the RTE appear to be more accurate than EP formulations.
引用
收藏
页码:47 / 54
页数:8
相关论文
共 26 条
[1]  
[Anonymous], ENG ANAL
[2]   RAY-EFFECT MITIGATION IN DISCRETE ORDINATE-LIKE ANGULAR FINITE-ELEMENT APPROXIMATIONS IN NEUTRON-TRANSPORT [J].
BRIGGS, LL ;
MILLER, WF ;
LEWIS, EE .
NUCLEAR SCIENCE AND ENGINEERING, 1975, 57 (03) :205-217
[3]  
CARLSON BG, 1968, TRANSPORT THEORY MET
[4]   FINITE-VOLUME METHOD FOR RADIATION HEAT-TRANSFER [J].
CHAI, JC ;
LEE, HS ;
PATANKAR, SV .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1994, 8 (03) :419-425
[5]   COMPUTATION OF RADIANT-HEAT TRANSFER ON A NONORTHOGONAL MESH USING THE FINITE-VOLUME METHOD [J].
CHUI, EH ;
RAITHBY, GD .
NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 1993, 23 (03) :269-288
[6]   EXACT EXPRESSIONS FOR RADIATIVE-TRANSFER IN A 3-DIMENSIONAL RECTANGULAR GEOMETRY [J].
CROSBIE, AL ;
SCHRENKER, RG .
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 1982, 28 (06) :507-526
[7]   Three-Dimensional Spectral Radiative Heat Transfer Solutions by the Discrete-Ordinates Method [J].
Fiveland, W. A. ;
Jamaluddin, A. S. .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1991, 5 (03) :335-339
[8]  
Fiveland W. A., 1988, J THERMOPHYS HEAT TR, V2, P309, DOI DOI 10.2514/3.105
[9]   DISCRETE-ORDINATES SOLUTIONS OF THE RADIATIVE TRANSPORT-EQUATION FOR RECTANGULAR ENCLOSURES [J].
FIVELAND, WA .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1984, 106 (04) :699-706
[10]   FINITE-ELEMENT FORMULATION OF THE DISCRETE-ORDINATES METHOD FOR MULTIDIMENSIONAL GEOMETRIES [J].
FIVELAND, WA ;
JESSEE, JP .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 1994, 8 (03) :426-433