Forward and backward Monte Carlo methods may become inefficient when the radiant source is collimated and radiation onto a small, arbitrary spot and onto a small, arbitrary direction cone is desired. In this paper, the DRESOR method was formulated to study the radiative heat transfer process in an isotropically scattering layer exposed to collimated radiation. As the whole spherical solid angle space was uniformly divided into 13,316 discrete solid angles, the intensity at some point in up to such discrete directions was given. The radiation fluxes incident on a detector inside the layer for varying acceptance angles by a step of $2deg$ were also measured, which agreed well with those in literature. The radiation flux across the top and the bottom boundaries were also provided.

1.
Modest
,
M. F.
, 1992, “
Backward Monte Carlo Simulations in Radiative Heat Transfer
,”
ASME J. Heat Transfer
0022-1481,
35
(
12
), pp.
3323
3333
.
2.
Lacrox
,
D.
,
Jeandel
,
G.
, and
Boudot
,
C.
, 1998, “
Solution of the Radiative Transfer Equation in an Absorbing and Scattering Nd:YAG Laser-induced Plume
,”
J. Appl. Phys.
0021-8979,
84
, pp.
2443
2449
.
3.
Wu
,
S. C.
, and
Wu
,
C. Y.
, 1997, “
Radiative Heat Transfer in a Two-dimensional Cylindrical Medium Exposed to Collimated Radiation
,”
Int. Commun. Heat Mass Transfer
0735-1933,
24
(
4
), pp.
475
484
.
4.
Modest
,
M. F.
, and
Tabanfar
,
S.
, 1983, “
A Multidimensional Differential Approximation for Absorbing/Emitting Anisotropically Scattering Media with Collimated Irradiation
,”
0022-4073,
29
, pp.
339
351
.
5.
Menguc
,
M. P.
, and
Manickavasagam
,
S.
, 1993, “
Inverse Radiation Problem in Axisymmetric Cylindrical Scattering Media
,”
J. Thermophys. Heat Transfer
0887-8722,
7
(
3
), pp.
479
486
.
6.
Siewert
,
C. E.
, 1993, “
An Inverse Source Problem in Radiative Transfer
,”
0022-4073,
50
(
6
), pp.
603
609
.
7.
Silva Neto
,
A. J.
, and
Ozisik
,
M. N.
, 1995, “
An Inverse Problem of Simultaneous Estimation of Radiation Phase Function, Albedo and Optical Thickness
,”
0022-4073,
53
, pp.
397
409
.
8.
Zhou
,
H. C.
,
Lou
,
C.
,
Cheng
,
Q.
,
Jiang
,
Z. W.
,
He
,
J.
,
Huang
,
B. Y.
,
Pei
,
Z. L.
, and
Lu
,
C. X.
, 2005, “
Experimental Investigations on Visualization of Three-dimensional Temperature Distributions in a Large-scale Pulverized-coal-fired Boiler Furnace
,”
Proc. Combust. Inst.
1540-7489,
30
(
1
), pp.
1699
1706
.
9.
Zhou
,
H. C.
,
Chen
,
D. L.
, and
Cheng
,
Q.
, 2004, “
A New Way to Calculate Radiative Intensity and Solve Radiative Transfer Equation Through Using the Monte Carlo Method
,”
0022-4073,
83
, pp.
459
481
.
10.
Zhou
,
H. C.
, and
Cheng
,
Q.
, 2004, “
The DRESOR Method for the Solution of the Radiative Transfer Equation in Gray Plane-parallel Media
,” in
Proceedings of the Fourth International Symposium on Radiative Transfer
, Istanbul, Turkey,
M. P.
Menguc
and
N.
Selcuk
, eds., pp.
181
190
.
11.
Modest
,
M. F.
, 2003,
, 2nd ed.,
, New York.
12.
Zhou
,
H. C.
,
Cheng
,
Q.
,
Huang
,
Z. F.
, and
He
,
C.
, 2006, “
The Influence of Anisotropic Scattering on the Radiative Intensity in a Gray, Plane-Parallel Medium Calculated by the DRESOR Method
,”
0022-4073,
104
(
1
), pp.
99
115
.
13.
Zhou
,
H. C.
, and
Cheng
,
Q.
, 2006, “
The DRESOR Method for the Transient Radiative Transfer in an Isotropically Scattering Plane-Parallel Medium
,” in
Proceedings of the Eurotherm Seminar 78: Computational Thermal Radiation in Participating Media II
,
Poitiers
, France,
D.
Lemonnier
,
N.
Selcuk
, and
P.
Lybaert
, eds., pp.
105
114
.
14.
Yang
,
W. J.
,
H.
Taniguchi
, and
K.
Kudo
, 1995, “
Radiative Heat Transfer by the Monte Carlo Method
,” in
,
J. P.
Hartnett
and
F. T.
Irvines
, eds.,
, San Diego, Vol.
27
, pp.
1
215
.
15.
Daun
,
K. J.
,
Morton
,
D. P.
, and
Howell
,
J. R.
, 2005, “
Smoothing Monte Carlo Exchange Factors Through Constrained Maximum Likelihood Estimation
,”
ASME J. Heat Transfer
0022-1481,
127
, pp.
1124
1128
.
16.
Lu
,
Xiaodong
, and
Hsu
,
Pei-feng
, 2004, “
Reverse Monte Carlo Method for Transient Radiative Transfer in Participating Media
,”
ASME J. Heat Transfer
0022-1481,
126
, pp.
621
627
.