Multi-level spectral galerkin method for the navier-stokes problem I: Spatial discretization

Yinnian He; Kam-Moon Liu; Weiwei Sun

doi:10.1007/s00211-005-0632-3

Author(s)

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	501-522
Journal / Publication	Numerische Mathematik
Volume	101
Issue number	3
Publication status	Published - Sept 2005

Link(s)

DOI	DOI https://doi.org/10.1007/s00211-005-0632-3 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-29144500823&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(5936ee18-1c41-4c0f-b92a-974dc4c7f725).html

Abstract

A multi-level spectral Galerkin method for the two-dimensional non-stationary Navier-Stokes equations is presented. The method proposed here is a multiscale method in which the fully nonlinear Navier-Stokes equations are solved only on a low-dimensional space [InlineMediaObject not available: see fulltext.] subsequent approximations are generated on a succession of higher-dimensional spaces [InlineMediaObject not available: see fulltext.]j=2, . . . ,J, by solving a linearized Navier-Stokes problem around the solution on the previous level. Error estimates depending on the kinematic viscosity 0mj.

Citation Format(s)

[ RIS ] [ BibTeX ]

Multi-level spectral galerkin method for the navier-stokes problem I: Spatial discretization. / He, Yinnian; Liu, Kam-Moon ; Sun, Weiwei.
In: Numerische Mathematik, Vol. 101, No. 3, 09.2005, p. 501-522.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

He, Y, Liu, K-M & Sun, W 2005, 'Multi-level spectral galerkin method for the navier-stokes problem I: Spatial discretization', Numerische Mathematik, vol. 101, no. 3, pp. 501-522. https://doi.org/10.1007/s00211-005-0632-3

He, Y., Liu, K.-M., & Sun, W. (2005). Multi-level spectral galerkin method for the navier-stokes problem I: Spatial discretization. Numerische Mathematik, 101(3), 501-522. https://doi.org/10.1007/s00211-005-0632-3

He Y, Liu KM , Sun W. Multi-level spectral galerkin method for the navier-stokes problem I: Spatial discretization. Numerische Mathematik. 2005 Sept;101(3):501-522. doi: 10.1007/s00211-005-0632-3

He, Yinnian ; Liu, Kam-Moon ; Sun, Weiwei. / Multi-level spectral galerkin method for the navier-stokes problem I : Spatial discretization. In: Numerische Mathematik. 2005 ; Vol. 101, No. 3. pp. 501-522.

Multi-level spectral galerkin method for the navier-stokes problem I : Spatial discretization