Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm

DOI10.1002/fld.2583zbMath1237.76027OpenAlexW2116605353MaRDI QIDQ2882452

Peter D. Minev, Jean-Luc Guermond

Publication date: 4 May 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2583

zbMATH Keywords

incompressible flowparallel algorithmunsteady flowthree dimensionaldirection splittinglid-driven cavityMAC stencil

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Parallel numerical computation (65Y05)

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Cites Work

• Unnamed Item
• Accurate three-dimensional lid-driven cavity flow
• A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
• Alternating direction methods for three space variables
• A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting
• Stream function-vorticity driven cavity solution using \(p\) finite elements
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Numerical investigation on the stability of singular driven cavity flow
• Benchmark spectral results on the lid-driven cavity flow
• The 2D lid-driven cavity problem revisited
• Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at Re = 1000
• Velocity-Correction Projection Methods for Incompressible Flows
• On the error estimates for the rotational pressure-correction projection methods
• Linear stability of lid-driven cavity flow
• Transient solutions for three‐dimensional lid‐driven cavity flows by a least‐squares finite element method
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers