In:
PLOS ONE, Public Library of Science (PLoS), Vol. 18, No. 4 ( 2023-4-6), p. e0283681-
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.
Type of Medium:
Online Resource
ISSN:
1932-6203
DOI:
10.1371/journal.pone.0283681
DOI:
10.1371/journal.pone.0283681.g001
DOI:
10.1371/journal.pone.0283681.g002
DOI:
10.1371/journal.pone.0283681.g003
DOI:
10.1371/journal.pone.0283681.g004
DOI:
10.1371/journal.pone.0283681.g005
DOI:
10.1371/journal.pone.0283681.g006
DOI:
10.1371/journal.pone.0283681.g007
DOI:
10.1371/journal.pone.0283681.g008
DOI:
10.1371/journal.pone.0283681.g009
DOI:
10.1371/journal.pone.0283681.g010
DOI:
10.1371/journal.pone.0283681.g011
DOI:
10.1371/journal.pone.0283681.s001
DOI:
10.1371/journal.pone.0283681.s002
DOI:
10.1371/journal.pone.0283681.r001
DOI:
10.1371/journal.pone.0283681.r002
DOI:
10.1371/journal.pone.0283681.r003
DOI:
10.1371/journal.pone.0283681.r004
Language:
English
Publisher:
Public Library of Science (PLoS)
Publication Date:
2023
detail.hit.zdb_id:
2267670-3
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