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Journal of Scientific Computing
Published in: Journal of Scientific Computing 1/2017

13-03-2017

Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions

Published in: Journal of Scientific Computing | Issue 1/2017

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Abstract

In this paper, we propose a spectral method for the vorticity-stream function form of Navier–Stokes equations in an infinite channel with slip boundary conditions by using Laguerre functions. The numerical solutions fulfill the incompressibility and the physical boundary conditions automatically. The stability and the spectral accuracy in space of proposed method are proved. Numerical results demonstrate the high efficiency of suggested algorithm, and coincide the analysis very well.
previous article Tailored Finite Point Methods for Solving Singularly Perturbed Eigenvalue Problems with Higher Eigenvalues
next article A Regularized Newton Method for Computing Ground States of Bose–Einstein Condensates

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Metadata
Title
Spectral Method for Vorticity-Stream Function Form of Navier–Stokes Equations in an Infinite Channel with Slip Boundary Conditions
Publication date
13-03-2017
Published in
Journal of Scientific Computing / Issue 1/2017
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-017-0413-z

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