Chebyshev–Fourier collocation spectral method for the solution of swirling flow

Yang Yu, Yurong Zhao, Benwen Li and Tieliu Jiang

Chaos, Solitons & Fractals, 2019, vol. 128, issue C, 261-268

Abstract: The Chebyshev–Fourier collocation spectral method (CSM), in which the Chebyshev collocation method is applied in both radial and axial directions and the Fourier collocation method is applied in azimuthal direction, is developed to solve the Poisson equation with Neumann boundary condition in cylindrical coordinates. In order to avoid the axis at r=0, the Chebyshev–Gauss–Lobatto collocation point is adopted in radial direction and the number of points is set to be even. These direct solvers are developed to solve three-dimensional transient incompressible Navier-Stokes equations with projection method. The approach, in which the Neumann boundary condition is constructed for solving the Poisson equation based on the Chebyshev–Fourier CSM, is testified to be easily and efficiently implemented. Furthermore, the approach is applied for solving the swirling flows in an enclosed cylinder by the rotation of an end wall.

Keywords: Navier–Stokes equations; Spectral method; Swirling flow; Neumann boundary condition (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919302851
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:128:y:2019:i:c:p:261-268

DOI: 10.1016/j.chaos.2019.07.033

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().