Mathematics > Numerical Analysis
[Submitted on 11 Jan 2024]
Title:Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data
View PDF HTML (experimental)Abstract: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-Benard convection problem.
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