Chebyshev spectral collocation methods for laminar flow through a channel contraction

DOI10.1016/0021-9991(89)90184-8zbMath0677.76025OpenAlexW2066402621MaRDI QIDQ1123706

Timothy N. Phillips, Andreas Karageorghis

Publication date: 1989

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90184-8

zbMATH Keywords

Navier-Stokes equationschannel contractionNewton linearizationChebyshev spectral element methodContinuity conditionsdouble Chebyshev expansionspectral element matrix

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Applications to the sciences (65Z05)

Related Items

Mass- and momentum-conserving spectral methods for Stokes flow ⋮ Some experiments with high order compact methods using a computer algebra software. II: Non-uniform grid ⋮ A conforming spectral collocation strategy for Stokes flow through a channel contraction ⋮ Haar wavelet approximation for magnetohydrodynamic flow equations ⋮ The first and second kind chebyshev coefficients of the moments for the general order derivative on an infinitely differentiable function ⋮ The ultraspherical coefficients of the moments of a general-order derivative of an infinitely differentiable function ⋮ On the legendre coefficients of the moments of the general order derivative of an infinitely differentiable function ⋮ Chebyshev spectral collocation methods for nonlinear isothermal magnetostatic atmospheres ⋮ On some new exact solutions of incompressible steady state Navier-Stokes equations ⋮ Chebyshev polynomial approximation for high‐order partial differential equations with complicated conditions ⋮ Spectral domain decomposition techniques for viscous incompressible flows

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