STRATIFIED RADIATIVE TRANSFER IN A FLUID AND NUMERICAL APPLICATIONS TO EARTH SCIENCE

Francois Golse; Olivier R. Pironneau

doi:10.1137/21M1459009

STRATIFIED RADIATIVE TRANSFER IN A FLUID AND NUMERICAL APPLICATIONS TO EARTH SCIENCE

Francois Golse
, Olivier R. Pironneau

Sorbonne Université

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

New mathematical results are given for the radiative transfer equations alone and coupled with the temperature equation of a fluid: existence, uniqueness, a maximum principle, and a convergent monotone iterative scheme. Numerical tests for Earth's atmosphere and the heating of a pool by the Sun are included.

langue originale	Anglais
Pages (de - à)	2963-3000
Nombre de pages	38
journal	SIAM Journal on Numerical Analysis
Volume	60
Numéro de publication	5
Les DOIs	https://doi.org/10.1137/21M1459009
état	Publié - 1 janv. 2022

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10.1137/21M1459009

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title = "STRATIFIED RADIATIVE TRANSFER IN A FLUID AND NUMERICAL APPLICATIONS TO EARTH SCIENCE",

abstract = "New mathematical results are given for the radiative transfer equations alone and coupled with the temperature equation of a fluid: existence, uniqueness, a maximum principle, and a convergent monotone iterative scheme. Numerical tests for Earth's atmosphere and the heating of a pool by the Sun are included.",

keywords = "climate modelling, integral equation, numerical analysis, radiative transfer, temperature equation",

author = "Francois Golse and Pironneau, \{Olivier R.\}",

note = "Publisher Copyright: {\textcopyright} 2022 Society for Industrial and Applied Mathematics.",

year = "2022",

month = jan,

day = "1",

doi = "10.1137/21M1459009",

language = "English",

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journal = "SIAM Journal on Numerical Analysis",

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AU - Golse, Francois

AU - Pironneau, Olivier R.

PY - 2022/1/1

Y1 - 2022/1/1

N2 - New mathematical results are given for the radiative transfer equations alone and coupled with the temperature equation of a fluid: existence, uniqueness, a maximum principle, and a convergent monotone iterative scheme. Numerical tests for Earth's atmosphere and the heating of a pool by the Sun are included.

AB - New mathematical results are given for the radiative transfer equations alone and coupled with the temperature equation of a fluid: existence, uniqueness, a maximum principle, and a convergent monotone iterative scheme. Numerical tests for Earth's atmosphere and the heating of a pool by the Sun are included.

KW - climate modelling

KW - integral equation

KW - numerical analysis

KW - radiative transfer

KW - temperature equation

U2 - 10.1137/21M1459009

DO - 10.1137/21M1459009

M3 - Article

AN - SCOPUS:85136210299

SN - 0036-1429

VL - 60

SP - 2963

EP - 3000

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 5

ER -

STRATIFIED RADIATIVE TRANSFER IN A FLUID AND NUMERICAL APPLICATIONS TO EARTH SCIENCE

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