Browsing by Author "Phillips, T. N."
Now showing items 1-8 of 8
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Chebyshev spectral collocation methods for laminar flow through a channel contraction
Karageorghis, Andreas; Phillips, T. N. (1989)A Chebyshev spectral element method is described for solving the Navier-Stokes equations in a channel contraction. The flow region is divided into two semi-infinite elements. The governing equation for the stream function ...
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Article
Conforming chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel
Karageorghis, Andreas; Phillips, T. N. (1991)The numerical simulation of steady planar two-dimensional laminar flow of an incompressible fluid through an abruptly contracting channel using spectral domain decomposition methods is described. The key features of the ...
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Article
A conforming spectral collocation strategy for Stokes flow through a channel contraction
Phillips, T. N.; Karageorghis, Andreas (1991)A spectral collocation method is described for solving the stream function formulation of the Stokes problem in a contraction geometry. The flow region is decomposed into a number of conformal rectangular subregions. A ...
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On efficient direct methods for conforming spectral domain decomposition techniques
Karageorghis, Andreas; Phillips, T. N. (1990)A conforming spectral domain decomposition technique is described for the solution of Stokes flow in rectangularly decomposable domains. The matrices arising from such a spectral discretization procedure possess a block ...
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Article
On the coefficients of differentiated expansions of ultraspherical polynomials
Karageorghis, Andreas; Phillips, T. N. (1992)A formula expressing the coefficients of an expansion of ultraspherical polynomials which has been differentiated an arbitrary number of times in terms of the coefficients of the original expansion is proved. The particular ...
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Article
Spectral collocation methods for stokes flow in contraction geometries and unbounded domains
Karageorghis, Andreas; Phillips, T. N. (1989)A spectral element method is described which enables Stokes flow in contraction geometries and unbounded domains to be solved as a set of coupled problems over semi-infinite rectangular subregions. Expansions in terms of ...
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Article
Spectral collocation methods for the primary two‐point boundary value problem in modelling viscoelastic flows
Karageorghis, Andreas; Phillips, T. N.; Davies, A. R. (1988)Expansions in terms of beam functions and Chebyshev polynomials are used to compute solutions to the primary two‐point boundary value problem within a spectral collocation formulation. The performance of the methods is ...
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Article
Spectral Galerkin methods for the primary two‐point boundary value problem in modelling viscoelastic flows
Davies, A. R.; Karageorghis, Andreas; Phillips, T. N. (1988)The essential character of the primary elliptic‐hyperbolic operator encountered in the modelling of viscoelastic flows is encaptured in a non‐linear fifth‐order two‐point boundary value problem in one dimension. Expansions ...