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

DOI10.1016/J.AMC.2015.06.047zbMath1410.76315OpenAlexW1624916653MaRDI QIDQ670685

Jamil Satouri, Rahma Agroum, Christine Bernardi

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.047

zbMATH Keywords

Navier-Stokes equationsheat equationspectral methodEuler schemea priori analysis

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Numerical analysis of a Darcy-Forchheimer model coupled with the heat equation ⋮ A posteriori error estimates for the time-dependent Navier-Stokes system coupled with the convection-diffusion-reaction equation ⋮ A fully-discrete virtual element method for the nonstationary Boussinesq equations in stream-function form ⋮ Iterative methods for Stokes flow under nonlinear slip boundary condition coupled with the heat equation ⋮ Second-order schemes for axisymmetric Navier-Stokes-Brinkman and transport equations modelling water filters ⋮ Stability and finite element approximation of phase change models for natural convection in porous media ⋮ New mixed finite element methods for natural convection with phase-change in porous media

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• Finite Element Methods for Navier-Stokes Equations
• Spectral discretization of the Navier–Stokes equations coupled with the heat equation

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