Monte Carlo Solutions for Radiative Heat Transfer in Irregular Two-Dimensional Geometries

Parthasarathy, Girija; Lee, Hyunkook; Chai, John C.; Patankar, S. V.

doi:10.1115/1.2822653

Cited by 33 publications

(19 citation statements)

References 6 publications

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“…1, the CMCFVM is now applied to a quadrilateral geometry with an isolated boundary heat source. This quadrilateral geometry has been widely used for testing the method for radiative heat transfer in an irregular geometry [12,18]. While the left wall is wholly or partially hot (1000 K) and black, the other walls are cold (300 K) and black with cold medium (300 K).…”

Section: Resultsmentioning

confidence: 99%

“…The results obtained were found to be in a very good agreement with the exact solutions. The present FVM has also been successfully applied to several problems [3,12]. Since the MCM requires a large number of energy bundles to produce a suciently accurate solution, the number of energy bundles was set to 1 Â 10 7 .…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, another alternative for the conventional methods is needed to accurately predict the radiative heat transfer. If the MonteCarlo method (MCM) [11,12] is employed to analyze the radiative heat transfer, an exact solution can be obtained within a statistical limit while almost eliminating the ray eect. But this method is based on the ray tracing technique so that it needs an enormously large computational time.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The combined Monte-Carlo and finite-volume method for radiation in a two-dimensional irregular geometry

Baek

Byun

Kang

2000

International Journal of Heat and Mass Transfer

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The combined Monte-Carlo and finite-volume method for radiation in a two-dimensional irregular geometry

Baek

Byun

Kang

2000

International Journal of Heat and Mass Transfer

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“…It is applicable in any geometrical configuration and capable of handling isotropic, anisotropic and non-grey problems. Monte Carlo solutions are widely used as benchmarks to evaluate the performance of other radiation calculation methods in complex geometry applications, Parthasarathy et al (1995). The method is computationally expensive, but considerable speed up can be achieved by incorporating an efficient ray tracing technique such as the method described in Henson and Malalasekera (1997a).…”

Section: Methods For Complex Geometries and Recent Advancesmentioning

confidence: 99%

Calculation of Radiative Heat Transfer in Combustion Systems

Malalasekera¹,

Versteeg²,

Henson³

et al. 2002

Clean Air

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Most practical combustion systems involve complex geometry configurations and CFD techniques used for the calculation of flow and combustion in such geometries use body-fitted non-orthogonal mesh systems. This paper reviews some of the currently available radiative heat transfer calculation techniques suitable for such CFD applications. The Monte Carlo method, the discrete transfer method, the YIX method, the discrete ordinates method and the finite volume method are discussed and some notable applications related to combustion problems are reviewed. Comparative results using all the methods outlined are presented for bench mark problems and their applicability to complex geometry situations are discussed. Radiative heat flux predictions for an S.I. engine simulation are presented to demonstrate the capability of the discrete transfer method in a pent-roof complex geometry combustion chamber. The paper also describes a ray based technique for the handling of turbulence-radiation interactions in combustion and its application is demonstrated in the prediction of a methane diffusion flame.

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“…Historically, the inherent flexibility of the Monte Carlo method that arises from its ray tracing basis has favoured its use with complex geometries [11], not possible with contemporary techniques. Furthermore, recognising its ability to provide an exact solution within a statistical uncertainty, it is ideal for validating other numerical methods [12]. Recently, Chai et al [13] used a 'cell blocking' procedure to approximate inclined and curved boundaries with a stepped Cartesian outline suitable for a discrete ordinates solution.…”

mentioning

confidence: 99%

Comparison of the Discrete Transfer and Monte Carlo Methods for Radiative Heat Transfer in Three-Dimensional Nonhomogeneous Scattering Media

Henson

Malalasekera

1997

Numerical Heat Transfer, Part A: Applications

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Modified formulations of the discrete transfer and Monte Carlo methods are presented for the prediction of radiative heat transfer in three-dimensional, nonhomogeneous, participating media.Numerical solutions found with both algorithms are in good agreement with published benchmark results which used contemporary methods to determine the radiative transport in a unit cube. New solutions in an arbitrary L-shaped geometry using a nonorthogonal, body-fitted mesh are also presented. The average deviation between the two methods is less than 1.2% for both the boundary surface flux and the divergence of radiative flux or gas emissive power within the enclosed, isotropically scattering media. Henson,

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Monte Carlo Solutions for Radiative Heat Transfer in Irregular Two-Dimensional Geometries

Cited by 33 publications

References 6 publications

The combined Monte-Carlo and finite-volume method for radiation in a two-dimensional irregular geometry

The combined Monte-Carlo and finite-volume method for radiation in a two-dimensional irregular geometry

Calculation of Radiative Heat Transfer in Combustion Systems

Comparison of the Discrete Transfer and Monte Carlo Methods for Radiative Heat Transfer in Three-Dimensional Nonhomogeneous Scattering Media

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