Multi-level spectral galerkin method for the navier-stokes problem I : Spatial discretization
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 501-522 |
| Journal / Publication | Numerische Mathematik |
| Volume | 101 |
| Issue number | 3 |
| Publication status | Published - Sep 2005 |
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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)
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, 22, 62) › 21_Publication in refereed journal › peer-review
