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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Vydané v:	PloS one Ročník 18; číslo 4; s. e0283681
Hlavní autori:	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
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	United States Public Library of Science 06.04.2023 Public Library of Science (PLoS)
Predmet:	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 France
ISSN:	1932-6203, 1932-6203
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Popis
Shrnutí:	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.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 Competing Interests: The authors have declared that no competing interests exist.
ISSN:	1932-6203 1932-6203
DOI:	10.1371/journal.pone.0283681