Factorization of the Fourier transform of the pressure-Poisson equation using finite differences in colocated grids

DOI10.1002/zamm.201100078zbMath1419.76483OpenAlexW2096641553MaRDI QIDQ2888895

Juan Pedro Mellado, Cedrick Ansorge

Publication date: 4 June 2012

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/190427

zbMATH Keywords

compact finite difference methodTaylor-Green vortexdiscrete solenoidal constrainturbulent Ekman boundary layerzero-divergence constraint

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Turbulent boundary layers (76F40)

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Cites Work

• Two-fluid formulation of the cloud-top mixing layer for direct numerical simulation
• Well balanced finite volume methods for nearly hydrostatic flows
• High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy
• Compact finite difference schemes with spectral-like resolution
• Letter to the editor: There is no error in the Kleiser-Schumann influence matrix method
• An accurate compact treatment of pressure for colocated variables
• The stability of numerical boundary treatments for compact high-order finite-difference schemes
• An overview of projection methods for incompressible flows
• Transition stages of Rayleigh–Taylor instability between miscible fluids
• On pressure boundary conditions for the incompressible Navier-Stokes equations

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