Stratified Radiative Transfer for Multidimensional Fluids
F. Golse, O. Pironneau
TL;DR
This paper introduces new mathematical and numerical methods for coupling fluid temperature with radiative transfer, demonstrating their applicability to environmental and atmospheric studies.
Contribution
It provides the first existence, uniqueness, and convergent numerical scheme for coupled temperature and radiative transfer equations in multidimensional fluids.
Findings
Feasible numerical scheme for lake temperature modeling.
Application to Earth's atmosphere and greenhouse gases.
Mathematically proven existence and uniqueness.
Abstract
New mathematical and numerical results are given for the coupling of the temperature equation of a fluid with Radiative Transfer: existence and uniqueness and a convergent monotone numerical scheme. The technique is shown to be feasible for studying the temperature of lake Leman heated by the sun and for the earth atmosphere to study the effects of greenhouse gases.
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Taxonomy
TopicsRadiative Heat Transfer Studies · Gas Dynamics and Kinetic Theory · Numerical methods in inverse problems