The Fully Discrete Legendre Spectral Approximation of Two-Dimensional Unsteady Incompressible Fluid Flow in Stream Function Form

DOI10.1137/S0036142996297084zbMath0909.76067OpenAlexW1998936981MaRDI QIDQ4389119

Li-Ping He, Ben-yu Guo

Publication date: 11 May 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142996297084

zbMATH Keywords

weak solutiona priori estimatescompactness arguments

Mathematics Subject Classification ID

Related Items (10)

Spectral method for Navier-Stokes equations with non-slip boundary conditions by using divergence-free base functions ⋮ Generalized Jacobi approximation in multiple dimensions and its applications ⋮ Spectral method for vorticity-stream function form of Navier-Stokes equations in an infinite channel with slip boundary conditions ⋮ Spectral method for Navier-Stokes equations with slip boundary conditions ⋮ A Hellan--Herrmann--Johnson-like Method for the Stream Function Formulation of the Stokes Equations in Two and Three Space Dimensions ⋮ Jacobi and Laguerre quasi-orthogonal approximations and related interpolations ⋮ Mixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip ⋮ Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain ⋮ Spectral method for vorticity-stream function form of Navier-Stokes equations with slip boundary conditions ⋮ Error estimation of prediction-correction Legendre spectral approximation to incompressible fluid flow

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