Spectral discretization of the Navier–Stokes equations coupled with the heat equation

DOI10.1051/m2an/2014049zbMath1325.35134OpenAlexW2070347759MaRDI QIDQ5254423

Christine Bernardi, Jamil Satouri, Saloua Mani-Aouadi, Rahma Agroum

Publication date: 9 June 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2014049

zbMATH Keywords

Navier-Stokes equationsheat equationspectral methods

Mathematics Subject Classification ID

Heat equation (35K05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)

Related Items (8)

A full discretisation of the time-dependent Boussinesq (buoyancy) model with nonlinear viscosity ⋮ Numerical resolution of optimal control problem for the in-stationary Navier-Stokes equations ⋮ Numerical analysis of a Darcy-Forchheimer model coupled with the heat equation ⋮ A coupled model of the fluid flow with nonlinear slip Tresca boundary condition ⋮ Non-isothermal non-Newtonian fluids: The stationary case ⋮ Iterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equation ⋮ Spectral discretization of the time-dependent Navier-Stokes problem coupled with the heat equation ⋮ The gradient discretisation method for the Navier-Stokes problem coupled with the heat equation

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