Spectral Direction Splitting Schemes for the Incompressible Navier-Stokes Equations

DOI10.4208/eajam.190411.240511azbMath1302.76135OpenAlexW2112260055MaRDI QIDQ5406895

Lizhen Chen, Jie Shen, Chuanju Xu

Publication date: 4 April 2014

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.190411.240511a

zbMATH Keywords

Navier-Stokes equationsprojection methodspectral methodsdirection splitting

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)

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Cites Work

• A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting
• Spectral approximation for elliptic boundary value problems
• An overview of projection methods for incompressible flows
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS