JP Journal of Heat and Mass Transfer
Volume 15, Issue 3, Pages 721 - 731
(August 2018) http://dx.doi.org/10.17654/HM015030721 |
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IMPLEMENTATION OF RANDOM WALK MONTE CARLO METHOD TO A NONLINEAR HEAT TRANSFER PROBLEM
Nevsan Sengil
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Abstract: Radiating plates are required to keep spacecraft components in safe operating temperature ranges. The related conductive-radiative heat transfer problem should be solved to calculate the temperature distribution on the plate. In this study, random walk Monte Carlo (MC) method is modified to solve this nonlinear boundary value problem. Temperature distribution values are successfully validated with both Newton-Raphson and multigrid methods. The development and implementation time of this new solver is shorter than other methods, owing to its simple algorithm. On the other hand, this method is computationally very expensive. However, this deficiency will lose its significance as time passes, because of the increasing computer speeds and embarrassingly parallel computing nature of the Monte Carlo based methods. |
Keywords and phrases: Monte Carlo methods, random walk, nonlinear differential equations, radiating plate. |
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