RADIATIVE HEAT TRANSFER IN AXISYMMETRIC GEOMETRIES USING AN UNSTRUCTURED FINITE-VOLUME METHOD

The finite-volume method is extended to compute radiation in axisymmetric geometries using unstructured polyhedral meshes. Control angle overhangs, resulting from the nonalignment of the angular discretization with cell faces, are accounted for in the differencing. Conservative discretization of the angular redistribution term is proposed, and allows the solution of axisymmetric problems on the same two-dimensional mesh as the fluid flow. The method is shown to be equivalent to the mapping procedure of Chui and Railhby. The scheme is applied to a number of benchmark problems and is shown to perform satisfactorily.

[1]  J. R. Howell,et al.  Radiant Transfer Through a Gray Gas Between Concentric Cylinders Using Monte Carlo , 1964 .

[2]  Cheng Ping,et al.  Multi-dimensional radiative transfer in non-isothermal cylindrical media with non-isothermal bounding walls , 1975 .

[3]  F. Lockwood,et al.  A new radiation solution method for incorporation in general combustion prediction procedures , 1981 .

[4]  M. Pinar Mengüç,et al.  Radiative transfer in axisymmetric, finite cylindrical enclosures , 1984 .

[5]  G. Raithby,et al.  A multigrid method based on the additive correction strategy , 1986 .

[6]  Philip J. Smith,et al.  Predicting Radiative Transfer in Axisymmetric Cylindrical Enclosures Using the Discrete Ordinates Method , 1988 .

[7]  Tae-Kuk Kim,et al.  Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures , 1988 .

[8]  G. D. Raithby,et al.  A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media , 1990 .

[9]  G. Raithby,et al.  Prediction of radiative transfer in cylindrical enclosures with the finite volume method , 1992 .

[10]  M. Fairweather,et al.  Radiative heat transfer in combustion systems , 1992 .

[11]  M. Modest.  Radiative heat transfer , 1993 .

[12]  Haeok S. Lee,et al.  Discrete ordinates solutions for radiatively participating media in a cylindrical enclusure , 1993 .

[13]  G. Raithby,et al.  COMPUTATION OF RADIANT HEAT TRANSFER ON A NONORTHOGONAL MESH USING THE FINITE-VOLUME METHOD , 1993 .

[14]  Andrzej Przekwas,et al.  Implicit, pressure-based incompressible Navier-Stokes equations solver for unstructured meshes , 1994 .

[15]  J. P. Jessee,et al.  Finite element formulation of the discrete-ordinates method for multidimensional geometries , 1994 .

[16]  S. Patankar,et al.  Finite volume method for radiation heat transfer , 1994 .

[17]  I. Demirdzic,et al.  Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology , 1995 .

[18]  J. Murthy,et al.  A PRESSURE-BASED METHOD FOR UNSTRUCTURED MESHES , 1997 .

[19]  S. Baek,et al.  Analysis of radiative transfer in cylindrical enclosures using the finite volume method , 1997 .

[20]  S. R. Mathur,et al.  Finite Volume Method for Radiative Heat Transfer Using Unstructured Meshes , 1998 .