A spectral multi-domain method for the solution of 1-D-Helmholtz and Stokes-type equations

DOI10.1016/0045-7930(88)90007-2zbMath0639.76033OpenAlexW2087534053MaRDI QIDQ1100019

J. P. Pulicani

Publication date: 1988

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(88)90007-2

zbMATH Keywords

boundary conditionscontinuity conditionsDirichlet conditionsHelmholtz equationspectral multi-domain methodinfluence matrix techniqueStokes-type problemTau-Chebyshev method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• Direct solution of the vorticity-stream function ordinary differential equations by a Chebyshev approximation
• Spectral and finite difference solutions of the Burgers equations
• Improvements in spectral collocation discretization through a multiple domain technique
• Spectral methods for problems in complex geometries
• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection
• Spectral Calculations of One-Dimensional Inviscid Compressible Flows
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