Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization

DOI10.1007/s10915-019-00980-9zbMath1477.65158OpenAlexW2947013513MaRDI QIDQ2316268

Julia Novo, Bosco García-Archilla, Javier de Frutos

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-019-00980-9

zbMATH Keywords

incompressible Navier-Stokes equationsprojection methodsgrad-div stabilizationinf-sup stable finite element methodserror constants independent of the viscosity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Analysis of divergence-free 𝐻¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number ⋮ Note on the effect of grad-div stabilization on calculating drag and lift coefficients ⋮ An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes ⋮ Analysis of an embedded-hybridized discontinuous Galerkin method for the time-dependent incompressible Navier-Stokes equations ⋮ Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization ⋮ Convergence analysis of the fully discrete projection method for inductionless magnetohydrodynamics system based on charge conservation ⋮ Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data ⋮ Robust error analysis of \(H(\mathrm{div})\)-conforming DG method for the time-dependent incompressible Navier-Stokes equations ⋮ Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows ⋮ Corrigenda to: ``Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization ⋮ Error analysis of a residual-based stabilization-motivated POD-ROM for incompressible flows

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