Spectral discretization of the time-dependent Navier–Stokes problem coupled with the heat equation

Rahma Agroum, Christine Bernardi and Jamil Satouri

Applied Mathematics and Computation, 2015, vol. 268, issue C, 59-82

Abstract: The aim of this work is to present the unsteady Navier–Stokes equations coupled with the heat equation where the viscosity depends on the temperature. We propose a discretization of these equations that combines Euler implicit scheme in time and spectral methods in space. We prove optimal error estimates between the continuous and discrete solutions. Some numerical experiments confirm the interest of this approach.

Keywords: Navier–Stokes equations; Heat equation; Spectral method; Euler scheme; A priori analysis (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:59-82

DOI: 10.1016/j.amc.2015.06.047

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