File Download

There are no files associated with this item.

  • Find it @ UNIST can give you direct access to the published full text of this article. (UNISTARs only)
Related Researcher

정창렬

Jung, Chang-Yeol
Numerical Analysis Lab.
Read More

Views & Downloads

Detailed Information

Cited time in webofscience Cited time in scopus
Metadata Downloads

Enriched Finite Volume Approximations of the Plane-Parallel Flow at a Small Viscosity

Author(s)
Gie, Gung-MinJung, Chang-YeolLee, Hoyeon
Issued Date
2020-06
DOI
10.1007/s10915-020-01259-0
URI
https://scholarworks.unist.ac.kr/handle/201301/32985
Fulltext
https://link.springer.com/article/10.1007%2Fs10915-020-01259-0
Citation
JOURNAL OF SCIENTIFIC COMPUTING, v.84, no.1, pp.UNSP 7
Abstract
We investigate viscous boundary layers of the plane-parallel flow, governed by the stationary Navier-Stokes equations under a certain symmetry. Following the analysis in Gie et al. (Annales de l'Institut Henri Poincare C. Analyse Non Lineaire, 2018), we first construct the so-called corrector, which is an analytic approximation of the velocity vector field near the boundary. Then, by embedding the corrector function into the classical Finite Volume schemes, we construct the semi-analytic enriched Finite Volume schemes for the plane-parallel flow, and numerically verify that our new enriched schemes reduce significantly the computational error of classical schemes especially near the boundary, and hence produce more accurate approximations without introducing any finer mesh near the boundary.
Publisher
SPRINGER/PLENUM PUBLISHERS
ISSN
0885-7474
Keyword (Author)
Finite Volume methodPlane-parallel flowNavier-Stokes equationsBoundary layers
Keyword
DIFFUSION-EQUATIONSVANISHING VISCOSITYELEMENT-METHODCONVERGENCESCHEME

qrcode

Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.