Examination of conventional and even-parity formulations of discrete ordinates method in a body-fitted coordinate system.

Details Examination of conventional and even-parity formulations of discrete ordinates method in a body-fitted coordinate system. Examination of conventional and even-parity formulations of discrete ordinates method in a body-fitted coordinate system.

Mar 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999jqsrt..61..417l&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 61, issue 4, pp. 417-431

Physics

1

Radiative Transfer: Numerical Methods

Scientific paper

The conventional radiative transfer equation (RTE) and the even-parity formulation (EPF) of the RTE in a general body-fitted coordinate system have been developed and they are used to simulate multi-dimensional radiative heat transfer in irregular geometries by the discrete ordinates method (DOM). The discrete ordinates equations for the EPF are second-order differential equations and they are spatially discretized using a second-order central difference scheme. At the boundary, a higher-order upwind scheme is employed to prevent solution instability and minimize errors. The spatially discretized equations are solved by a preconditioned conjugate gradients method. To investigate the accuracy and efficiency of the conventional RTE and the even-parity RTE in a body-fitted coordinate system, five two-dimensional and three-dimensional benchmark problems with absorbing - emitting and scattering media enclosed by irregular walls are considered.

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