An acceleration method is proposed particularly for the equation. The radiative energy balance is used as a constraint to correct iterative solutions. The method not only accelerates convergence but also preserves the radiative energy balance, the latter being of great importance when radiation calculations are coupled with flow calculations. This acceleration method can be applied to other elliptical problems with boundary conditions of the second and/or the third kind.
A Method to Accelerate Convergence and to Preserve Radiative Energy Balance in Solving the P1 Equation by Iterative Methods
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division February 22, 2001; revision received August 30, 2001. Associate Editor: R. Skocypec.
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Li and , G., and Modest , M. F. (May 10, 2002). "A Method to Accelerate Convergence and to Preserve Radiative Energy Balance in Solving the P1 Equation by Iterative Methods ." ASME. J. Heat Transfer. June 2002; 124(3): 580–582. https://doi.org/10.1115/1.1423318
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