Coupling radiative, conductive and convective heat-transfers in a single Monte Carlo algorithm: a general theoretical framework for linear situations - IRIT - Université Toulouse III Paul Sabatier Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

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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Jean-Jacques Bézian
Jean-François Cornet
Christophe Coustet
Jérémi Dauchet
Vincent Eymet
Vincent Forest
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Jacques Lluc
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Benjamin Piaud
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Gisèle Roques
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Maxime Roger
Thomas Saez
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Thomas Vourc’h
Daniel Yaacoub
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Résumé

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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Dates et versions

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

Identifiants

  • HAL Id : hal-04066139 , version 1

Citer

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. 2022. ⟨hal-04066139v1⟩
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