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
Your Session has timed out. Please sign back in to continue.


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.


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



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In