The gradient discretisation method for the Navier-Stokes problem coupled with the heat equation

DOI10.1016/j.rinam.2021.100176zbMath1500.65095OpenAlexW3195972667MaRDI QIDQ1979993

Yahya Alnashri

Publication date: 3 September 2021

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.rinam.2021.100176

zbMATH Keywords

convergence analysisgradient schemesCrouzeix-Raviart schemeNavier-Stokes problem heat equationnonlinear operator gradient discretisation method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (2)

Convergence of numerical schemes for convection-diffusion-reaction equations on generic meshes ⋮ The gradient discretisation method for the chemical reactions of biochemical systems

Cites Work

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• Spectral discretization of the Navier–Stokes equations coupled with the heat equation
• Study of the mixed finite volume method for Stokes and Navier‐Stokes equations

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