Convergence of Numerical Methods for the Navier–Stokes–Fourier System Driven by Uncertain Initial/Boundary Data

We consider the Navier–Stokes–Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of the stochastic collocation and Monte Carlo numerical methods is shown under the hypothesis that approximate solutions a...

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Bibliographic Details
Published in:Foundations of computational mathematics 2024-08
Main Authors: Feireisl, Eduard, Lukáčová-Medvid’ová, Mária, She, Bangwei, Yuan, Yuhuan
Format: Article
Language:English
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Summary:We consider the Navier–Stokes–Fourier system governing the motion of a general compressible, heat conducting, Newtonian fluid driven by random initial/boundary data. Convergence of the stochastic collocation and Monte Carlo numerical methods is shown under the hypothesis that approximate solutions are bounded in probability. Abstract results are illustrated by numerical experiments for the Rayleigh–Bénard convection problem.
ISSN:1615-3375
1615-3383
DOI:10.1007/s10208-024-09666-7