A CLASSIFICATION OF THE SECOND ORDER PROJECTION METHODS TO SOLVE THE NAVIER-STOKES EQUATIONS

DOI10.11568/KJM.2014.22.4.645zbMath1474.65317OpenAlexW2043564545MaRDI QIDQ5217551

Jae-Hong Pyo

Publication date: 24 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2014.22.4.645

zbMATH Keywords

Navier-Stokes equationsprojection methodincompressible fluidsGauge-Uzawa methodthe rotational form of pressure correction method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

The second order projection method in time for the time-dependent natural convection problem. ⋮ The time viscosity-splitting method for the Boussinesq problem ⋮ New efficient time-stepping schemes for the Navier-Stokes-Cahn-Hilliard equations ⋮ On error estimates of the projection method for the time-dependent natural convection problem: first order scheme ⋮ Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions

Cites Work

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• On the error estimates for the rotational pressure-correction projection methods
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• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
• The Gauge--Uzawa Finite Element Method. Part I: The Navier--Stokes Equations

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