An accurate numerical solution algorithm for 3D velocity–vorticity Navier–Stokes equations by the DQ method

DOI10.1002/cnm.817zbMath1276.76054OpenAlexW2165907175MaRDI QIDQ5467032

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Publication date: 23 May 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.817

zbMATH Keywords

differential quadrature methodvelocity-vorticity Navier-Stokes equations

Mathematics Subject Classification ID

Related Items (9)

Three dimensions simulation for the problem of a layer of non-Boussinesq fluid heated internally with prescribed heat flux on the lower boundary and constant temperature upper surface ⋮ Natural vorticity boundary conditions on solid walls ⋮ The localized method of approximated particular solutions for solving two-dimensional incompressible viscous flow field ⋮ On well-posedness of a velocity-vorticity formulation of the stationary Navier-Stokes equations with no-slip boundary conditions ⋮ Global well-posedness of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations ⋮ A fluid solver based on vorticity–helical density equations with application to a natural convection in a cubic cavity ⋮ Assessment of a vorticity based solver for the Navier-Stokes equations ⋮ Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations ⋮ Regularity and convergence results of the velocity-vorticity-Voigt model of the 3D Boussinesq equations

Cites Work

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• Investigation of the stability of boundary layers by a finite-difference model of the Navier—Stokes equations
• Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method
• Solution of the Navier-Stokes equations in velocity-vorticity form using a Eulerian-Lagrangian boundary element method
• A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
• Numerical solution of three-dimensional velocity-vorticity Navier-Stokes equations by finite difference method

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