Prediction of radiative transfer in general body-fitted coordinates

Liu, J.; Shang, H. M.; Chen, Y.; Wang, T.

doi:10.2514/6.1997-811

Cited by 3 publications

(3 citation statements)

References 16 publications

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“…In fact, these boundaries need to be treated in a stepwise fashion, and this requires a very fine grid to reduce the numerical errors. In such cases, curvilinear body-fitted coordinates (Liu et al, 1997) will perform better.…”

Section: Radiative and Conductive Heat Transfermentioning

confidence: 99%

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Modelization of combined radiative and conductive heat transfer in three‐dimensional complex enclosures

Guedri

Borjini

Farhat

2005

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose -To provide a finite volume code, based on Cartesian coordinates, for studying combined conductive and radiative heat transfer in three-dimensional irregular geometries. Design/methodology/approach -In the present study, a three-dimensional blocked-off-region procedure was presented and implemented in a numerical code based on the finite volume method to model combined conductive and radiative heat transfer in complex geometries. This formulation was developed and tested in three-dimensional complex enclosures with diffuse reflective surfaces and containing gray absorbing-emitting and isotropically scattering medium. This approach was applied to analyze the effect of the main of thermoradiative parameters on the temperature and flux values for three-dimensional L-shaped enclosure. Findings -The proposed isotropic model leads to satisfactory solutions with comparison to reference data, which entitles us to extend it to anisotropic diffusion cases or to non-gray media. The blocked-off-region procedure traits both straight and curvilinear boundaries. For curved or inclined boundaries, a fine or a non-uniform grid is needed. Originality/value -This paper offers a simple Cartesian practical technique to study the combined conductive and radiative heat transfer in three-dimensional complex enclosures with both straight and curvilinear boundaries.

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Section: Radiative and Conductive Heat Transfermentioning

confidence: 99%

“…Chai et al (1995), Lee et al (1996) and Baek et al (1998) applied this method to non-orthogonal coordinate system. Liu et al (1997) formulated both FVM and DOM in general body-fitted coordinates. These three methods were employed by Coelho et al (1998) to predict radiative heat transfer in enclosures containing obstacles of very small thickness (baffles).…”

mentioning

confidence: 99%

Modelization of combined radiative and conductive heat transfer in three‐dimensional complex enclosures

Guedri

Borjini

Farhat

2005

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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“…The radius of the quarter of circle is equal to the length along the x-axis, x L = 1.0, and y L = 1.5. Chai et al [1994cChai et al [ , 1995 and Liu et al [1997] used that problem.…”

Section: Gray Absorbing Media In a Curved Enclosure 431 Problem Stamentioning

confidence: 99%

A Skew Upwinding Scheme for Numerical Radiative Transfer

Rousse

Lassue

2008

International Symposium on Advances in Computational Heat Transfer

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This paper exhaustively presents a skewed upwinding procedure for application to finite volume methods (FVMs), finite element methods (FEMs) or control volume finite element methods (CVFEMs) in the context of radiative heat transfer problems involving participating media. The proposed scheme is based on the application of sound physical arguments. Through its basis of development, this scheme: (1) yields fast convergence of the algorithm; (2) inherently precludes the possibility of computing negative coefficients to the discretized algebraic equations; (3) reduces false scattering (diffusion); (4) is relatively insensitive to grid orientation; and (5) produces solutions completely free from undesirable oscillations. Theses attributes renders the scheme attractive, especially in the context of combined modes of heat transfer and fluid flow problems for which CPU time is a major concern. The suggested first-order skew upwind (SU) scheme has been validated by application to several basic two-dimensional test problems, acknowledged by the radiative heat transfer community: its performance has proven to be excellent. However, the validation is discussed for a few problems only to avoid making this contribution overly lengthy.

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Study on Interpolation Schemes of the Discrete Ordinates Interpolation Method for Three-Dimensional Radiative Transfer With Nonorthogonal Grids

Seo

Kim

1998

Journal of Heat Transfer

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Prediction of radiative transfer in general body-fitted coordinates

Cited by 3 publications

References 16 publications

Modelization of combined radiative and conductive heat transfer in three‐dimensional complex enclosures

Modelization of combined radiative and conductive heat transfer in three‐dimensional complex enclosures

A Skew Upwinding Scheme for Numerical Radiative Transfer

Study on Interpolation Schemes of the Discrete Ordinates Interpolation Method for Three-Dimensional Radiative Transfer With Nonorthogonal Grids

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