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A Chebyshev method for the solution of boundary value problems. (English) Zbl 0541.76036
Summary: An expansion procedure using the Chebyshev polynomials is proposed. The method yields more accurate results than either of the Galerkin or tau methods as indicated from solving the Orr-Sommerfeld equation for both the plane Poiseuille flow and the Blasius velocity profile. The Chebyshev approximation is also applied to resolve the radial dependence of the flow field for a circular cylinder or a sphere in a uniform flow.

76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics
Full Text: DOI
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