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TECHNICAL NOTES

A Method to Accelerate Convergence and to Preserve Radiative Energy Balance in Solving the P1 Equation by Iterative Methods

[+] Author and Article Information
Genong Li, Michael F. Modest

Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802

J. Heat Transfer 124(3), 580-582 (May 10, 2002) (3 pages) doi:10.1115/1.1423318 History: Received February 22, 2001; Revised August 30, 2001; Online May 10, 2002
Copyright © 2002 by ASME
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References

Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.
FLUENT, 1995, “Computational Fluid Dynamics Software,” Version 4.
Patankar,  S. V., 1981, “A Calculation Procedure for Two-Dimensional Elliptic Situations,” Numer. Heat Transfer, 4, pp. 409–425.
Ferziger, J. H., 1998, Numerical Methods for Engineering Application, John Wiley & Sons, New York.
Wachspress, E. L., 1966, Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics, Prentice-Hall, Englewood Cliffs, NJ.
Reed,  W. H., 1971, “The Effectiveness of Acceleration Techniques for Iterative Methods in Transport Theory,” Nucl. Sci. Eng., 45, No. 3, pp. 245–254.
Fiveland,  W. A. and Jessee,  J. P., 1996, “Acceleration Schemes for the Discrete Ordinates Method,” J. Thermophys. Heat Transfer, 10, No. 3, pp. 445–451.

Figures

Grahic Jump Location
Computed radiative heat source and radiative heat flux versus number of iterations
Grahic Jump Location
Relative error change versus number of iterations

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