Coupling radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm: A general theoretical framework for linear situations - Structural Models and Tools in Computer Graphics Access content directly
Journal Articles PLoS ONE Year : 2023

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

Jean Marc Tregan
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Jean Luc Amestoy
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Stéphane Blanco
Laurent Brunel
Christophe Coustet
Sebastien Dutour
Vincent Eymet
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Vincent Forest
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Richard Fournier
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Jacques Lluc
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Marc Miscevic
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Lea Penazzi
Benjamin Piaud
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  • IdRef : 124064140
Gisele Roques
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Thomas Saez
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Abstract

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.
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hal-04066139 , version 1 (18-10-2022)
hal-04066139 , version 2 (12-04-2023)

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Jean Marc Tregan, Jean Luc Amestoy, Mégane Bati, Jean-Jacques Bézian, Stéphane Blanco, et al.. Coupling radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm: A general theoretical framework for linear situations. PLoS ONE, 2023, 18 (4), ⟨10.1371/journal.pone.0283681⟩. ⟨hal-04066139v2⟩
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