Spectral discretization of the time-dependent Navier-Stokes problem coupled with the heat equation - Sorbonne Université Access content directly
Preprints, Working Papers, ... Year : 2014

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

Rahma Agroum
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Christine Bernardi
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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 theses equations that combines Euler's implicit scheme in time and spectral methods in space. We prove optimal error estimates between the continuous and discrete solutions. Some numerical experiments con rm the interest of this approach.
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Dates and versions

hal-00997632 , version 1 (08-06-2014)

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  • HAL Id : hal-00997632 , version 1

Cite

Rahma Agroum, Christine Bernardi, Jamil Satouri. Spectral discretization of the time-dependent Navier-Stokes problem coupled with the heat equation. 2014. ⟨hal-00997632⟩
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