Vorticity-velocity formulation of the 3D Navier-Stokes equations in cylindrical co-ordinates

DOI10.1002/fld.422zbMath1025.76027OpenAlexW2132204567MaRDI QIDQ4805165

Martin O. L. Hansen, Wen Zhong Shen, Jens Nørkær Sørensen

Publication date: 11 May 2003

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.422

zbMATH Keywords

Cauchy-Riemann equationsvorticity-velocity formulationtreatment of polar singularity in cylindrical co-ordinates

Mathematics Subject Classification ID

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

Related Items (5)

Parallel implementation of a viscous vorticity equation (VISVE) method in 3-D laminar flow ⋮ A sparse mesh for compact finite difference-Fourier solvers with radius-dependent spectral resolution in circular domains ⋮ A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ A Fifth-Order Combined Compact Difference Scheme for Stokes Flow on Polar Geometries ⋮ Analysis of vortex cores in turbulent flows

Cites Work

• Unnamed Item
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• A numerical method for the vorticity-velocity Navier-Stokes equations in two and three dimensions
• Solution of the implicitly discretized fluid flow equations by operator- splitting
• On the advantages of the vorticity-velocity formulation of the equations of fluid dynamics
• The numerical solution of the Navier-Stokes equations for 3-dimensional, unsteady, incompressible flows by compact schemes
• Finite-difference methods for calculating steady incompressible flows in three dimensions
• Numerical method for unsteady 3D Navier-Stokes equations in velocity-vorticity form
• Effective vorticity-velocity formulations for three-dimensional incompressible viscous flows
• Axisymmetric vortex breakdown Part 1. Confined swirling flow
• A Comparative Study of Finite Element and Finite Difference Methods for Cauchy-Riemann Type Equations
• A coupled solution of the vorticity-velocity formulation of the incompressible Navier-Stokes equations
• Axisymmetric vortex breakdown with and without temperature effects in a container with a rotating lid
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• Investigation of the stability of boundary layers by a finite-difference model of the Navier—Stokes equations
• A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
• Vorticity—velocity formulation in the computation of flows in multiconnected domains
• Numerical Solution of the Navier-Stokes Equations

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