Flow past a cylinder using a semi-Lagrangian spectral element method

Citation
Rm. Phillips et Tn. Phillips, Flow past a cylinder using a semi-Lagrangian spectral element method, APPL NUM M, 33(1-4), 2000, pp. 251-257
Citations number
5
Categorie Soggetti
Mathematics
Journal title
APPLIED NUMERICAL MATHEMATICS
ISSN journal
01689274 → ACNP
Volume
33
Issue
1-4
Year of publication
2000
Pages
251 - 257
Database
ISI
SICI code
0168-9274(200005)33:1-4<251:FPACUA>2.0.ZU;2-T
Abstract
The two-dimensional flow of a Newtonian fluid past a cylinder is investigat ed. The governing equations are discretized using a second-order temporal d iscretization based on the method of characteristics and a spectral element spatial discretization. The resulting discrete systems are symmetric and ( semi-) positive definite and are solved using the conjugate gradient method . The performance of the algorithm is examined. The dependence of the drag on the cylinder as a function of the Reynolds number is investigated. (C) 2 000 IMACS. Published by Elsevier Science B.V. All rights reserved.