Analysis of an SDG method for the incompressible Navier-stokes equations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 543-569 |
| Journal / Publication | SIAM Journal on Numerical Analysis |
| Volume | 55 |
| Issue number | 2 |
| Online published | 7 Mar 2017 |
| Publication status | Published - 2017 |
Link(s)
| DOI | DOI |
|---|---|
| Attachment(s) | Documents
Publisher's Copyright Statement
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| Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85018955003&origin=recordpage |
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(afc902fb-7e7d-4e26-950a-d4efef782178).html |
Abstract
In this paper, we analyze a staggered discontinuous Galerkin (SDG) method for the incompressible Navier-Stokes equations. The method is based on a novel splitting of the nonlinear convection term and results in a skew-symmetric discretization of it. As a result, the SDG discretization has a better conservation property and numerical stability property. The aim of this paper is to develop a mathematical theory for this method. In particular, we will show that the SDG method is well-posed and has an optimal rate of convergence. A superconvergence result will also be shown.
Research Area(s)
- Navier-Stokes equations, SDG
Citation Format(s)
Analysis of an SDG method for the incompressible Navier-stokes equations. / CHUNG, Eric T.; QIU, Weifeng.
In: SIAM Journal on Numerical Analysis, Vol. 55, No. 2, 2017, p. 543-569.
In: SIAM Journal on Numerical Analysis, Vol. 55, No. 2, 2017, p. 543-569.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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