Coupling radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm: A general theoretical framework for linear situations

It was recently shown that radiation, conduction and convection can be combined within a single Monte Carlo algorithm and that such an algorithm immediately benefits from state-of-the-art computer-graphics advances when dealing with complex geometries. The theoretical foundations that make this coup...

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Bibliographic Details
Published in:PloS one 2023-04, Vol.18 (4), p.e0283681-e0283681
Main Authors: Tregan, Jean Marc, Amestoy, Jean Luc, Bati, Megane, Bezian, Jean-Jacques, Blanco, Stéphane, Brunel, Laurent, Caliot, Cyril, Charon, Julien, Cornet, Jean-Francois, Coustet, Christophe, d'Alençon, Louis, Dauchet, Jeremi, Dutour, Sebastien, Eibner, Simon, El Hafi, Mouna, Eymet, Vincent, Farges, Olivier, Forest, Vincent, Fournier, Richard, Galtier, Mathieu, Gattepaille, Victor, Gautrais, Jacques, He, Zili, Hourdin, Frédéric, Ibarrart, Loris, Joly, Jean-Louis, Lapeyre, Paule, Lavieille, Pascal, Lecureux, Marie-Helene, Lluc, Jacques, Miscevic, Marc, Mourtaday, Nada, Nyffenegger-Péré, Yaniss, Pelissier, Lionel, Penazzi, Lea, Piaud, Benjamin, Rodrigues-Viguier, Clément, Roques, Gisele, Roger, Maxime, Saez, Thomas, Terrée, Guillaume, Villefranque, Najda, Vourc'h, Thomas, Yaacoub, Daniel
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Approximation
Auroral kilometric radiation
Boundary conditions
Computer Simulation
Convection
Coupling
Engineering Sciences
Evaluation
Green's function
Green's functions
Heat transfer
Hot Temperature
Methods
Monte Carlo Method
Physical Phenomena
Physical Sciences
Physics
Radiation
Random variables
Ray tracing
Research and Analysis Methods
Stochastic processes
Stochasticity
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Summary:It was recently shown that radiation, conduction and convection can be combined within a single Monte Carlo algorithm and that such an algorithm immediately benefits from state-of-the-art computer-graphics advances when dealing with complex geometries. The theoretical foundations that make this coupling possible are fully exposed for the first time, supporting the intuitive pictures of continuous thermal paths that run through the different physics at work. First, the theoretical frameworks of propagators and Green's functions are used to demonstrate that a coupled model involving different physical phenomena can be probabilized. Second, they are extended and made operational using the Feynman-Kac theory and stochastic processes. Finally, the theoretical framework is supported by a new proposal for an approximation of coupled Brownian trajectories compatible with the algorithmic design required by ray-tracing acceleration techniques in highly refined geometry.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0283681