Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains

DOI10.1016/0021-9991(89)90102-2zbMath0659.76037OpenAlexW2070267370MaRDI QIDQ1112662

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)90102-2

zbMATH Keywords

spectral element methodStokes flowbiharmonic equationeigenfunctionsunbounded domainssingular Sturm-Liouville problemscontraction geometriessemi-infinite rectangular subregions

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Applications to the sciences (65Z05)

Related Items

Mass- and momentum-conserving spectral methods for Stokes flow ⋮ Chebyshev spectral methods for solving two-point boundary value problems arising in heat transfer ⋮ A conforming spectral collocation strategy for Stokes flow through a channel contraction ⋮ Well-conditioned spectral discretizations of the biharmonic operator ⋮ Chebyshev spectral collocation methods for laminar flow through a channel contraction ⋮ On efficient direct methods for conforming spectral domain decomposition techniques ⋮ Efficient spectral-Galerkin algorithms for direct solution of fourth-order differential equations using Jacobi polynomials ⋮ A Jacobi spectral Galerkin method for the integrated forms of fourth‐order elliptic differential equations ⋮ Analytical solutions for determining residual stresses in two-dimensional domains using the contour method ⋮ \textsf{ORTHOPOLY}: a library for accurate evaluation of series of classical orthogonal polynomials and their derivatives ⋮ Numerical evaluation of the \(p\)th derivative of Jacobi series

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