A mixed stream-function and vorticity formulation for axisymmetric Navier-Stokes equations

DOI10.1016/S0377-0427(99)00333-7zbMath0966.76063OpenAlexW1990609323WikidataQ127663198 ScholiaQ127663198MaRDI QIDQ1567356

Nehla Abdellatif

Publication date: 16 August 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00333-7

zbMATH Keywords

error estimatesvorticityspectral methodaxisymmetric domainsstream-functionaxisymmetric steady-state incompressible Navier-Stokes equationsGlowinski-Pironneau algorithm

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22)

Related Items

Spectral element discretization for the stream-function and vorticity formulation of the axisymmetric Stokes problem, A new formulation of the Stokes problem in a cylinder, and its spectral discretization, Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains, Mixed methods for a stream-function -- vorticity formulation of the axisymmetric Brinkman equations

Cites Work

• On a mixed finite element approximation of the Stokes problem. I: Convergence of the approximate solutions
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Single-Grid Spectral Collocation for the Navier-Stokes Equations
• Finite Element Methods for Navier-Stokes Equations
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation
• Vector potentials in three-dimensional non-smooth domains
• UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
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