Three-dimensional transient Navier-Stokes solvers in cylindrical coordinate system based on a spectral collocation method using explicit treatment of the pressure

DOI10.1002/fld.2257zbMath1301.76022OpenAlexW2112127838MaRDI QIDQ2998913

Yurong Zhao, Yang Yu, Ben-Wen Li, Zhong-Dong Qian

Publication date: 11 May 2011

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.2257

zbMATH Keywords

numerical simulationStokes equationsCFL conditionpressure Poisson equationspectral collocation methodtransientincompressible Navier

Mathematics Subject Classification ID

Related Items (4)

Chebyshev-Fourier collocation spectral method for the solution of swirling flow ⋮ A sparse mesh for compact finite difference-Fourier solvers with radius-dependent spectral resolution in circular domains ⋮ Numerical study of MHD Taylor vortex flow with low magnetic Reynolds number in finite-length annulus under uniform magnetic field ⋮ Simulations of radiation hydrodynamics and radiative magnetohydrodynamics by collocation spectral methods

Uses Software

• Matlab
• RADAU

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. II: Three-dimensional cases
• A Fourier-Chebyshev pseudospectral method for solving steady 3-D Navier- Stokes and heat equations in cylindrical cavities
• Application of a fractional-step method to incompressible Navier-Stokes equations
• High-order splitting methods for the incompressible Navier-Stokes equations
• Some current CFD issues relevant to the incompressible Navier-Stokes equations
• A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
• An efficient spectral-projection method for the Navier-Stokes equations in cylindrical geometries. I: Axisymmetric cases
• A direct spectral collocation Poisson solver in polar and cylindrical coordinates
• A spectral projection method for the simulation of complex three-dimensional rotating flows
• Spectral methods for incompressible viscous flow
• A second-order projection method for the incompressible Navier-Stokes equations
• Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
• A spectral algorithm for the Stokes problem in vorticity-vector potential formulation and cylindrical geometry
• An overview of projection methods for incompressible flows
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Secondary instability of wall-bounded shear flows
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• On pressure boundary conditions for the incompressible Navier-Stokes equations
• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection
• An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations
• Spectral Methods in MATLAB
• Numerical Solution of the Navier-Stokes Equations
• A three-dimensional pseudospectral method for rotating flows in a cylinder

This page was built for publication: Three-dimensional transient Navier-Stokes solvers in cylindrical coordinate system based on a spectral collocation method using explicit treatment of the pressure