A computational method for solving the branched channel flow problem

DOI10.1016/j.amc.2003.11.032zbMath1102.76058OpenAlexW1979992576MaRDI QIDQ1763216

Xianqiang Yang

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.11.032

zbMATH Keywords

Poisson's equationspectral solutionSchwarz-Christoffel transformation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Complex variables methods applied to problems in fluid mechanics (76M40)

Related Items (1)

Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Cites Work

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• The accurate solution of Poisson's equation by expansion in Chebyshev polynomials
• Efficient pseudospectral flow simulations in moderately complex geometries
• A new iterative Chebyshev spectral method for solving the elliptic equation \(\nabla\cdot(\sigma\nabla u)=f\)
• A direct spectral collocation Poisson solver in polar and cylindrical coordinates
• A spectral method for polar coordinates
• Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries

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