| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Application of a spectral element method to two-dimensional forward-facing step flow |
| Authors: | Wilhelm, Dirk Kleiser, L. |
| DOI: | 10.1023/A:1015178831786 |
| Published in: | Journal of Scientific Computing |
| Volume(Issue): | 17 |
| Issue: | 1-4 |
| Page(s): | 619 |
| Pages to: | 627 |
| Issue Date: | 2002 |
| Publisher / Ed. Institution: | Springer |
| ISSN: | 0885-7474 |
| Language: | English |
| Subject (DDC): | 500: Natural sciences |
| Abstract: | In the present study, we investigate the two-dimensional laminar flow through a one-sided constriction of a plane channel with a ratio of h:H=1:4 (where h is the step height and H is the channel height). The computational approach employed is based on a mixed implicit/explicit time discretization scheme together with a highly accurate spatial discretization using a P_N−P_N−2 spectral-element method. It is well known that this so-called forward-facing step (FFS) flow exhibits a singularity in the pressure and the velocity derivatives at the corner point. We account for this singularity by a geometric mesh refinement strategy that was proposed in a hp-FEM context. A detailed numerical study of the FFS flow reveals that length and height of the recirculation zone in front of the step are almost constant for creeping flow. In the limit of high Reynolds numbers the length and height of the recirculation zone increase proportional to Re^0.6 and Re^0.2, respectively. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/13481 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Applied Mathematics and Physics (IAMP) |
| Appears in collections: | Publikationen School of Engineering |
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Wilhelm, D., & Kleiser, L. (2002). Application of a spectral element method to two-dimensional forward-facing step flow. Journal of Scientific Computing, 17(1-4), 619–627. https://doi.org/10.1023/A:1015178831786
Wilhelm, D. and Kleiser, L. (2002) ‘Application of a spectral element method to two-dimensional forward-facing step flow’, Journal of Scientific Computing, 17(1-4), pp. 619–627. Available at: https://doi.org/10.1023/A:1015178831786.
D. Wilhelm and L. Kleiser, “Application of a spectral element method to two-dimensional forward-facing step flow,” Journal of Scientific Computing, vol. 17, no. 1-4, pp. 619–627, 2002, doi: 10.1023/A:1015178831786.
WILHELM, Dirk und L. KLEISER, 2002. Application of a spectral element method to two-dimensional forward-facing step flow. Journal of Scientific Computing. 2002. Bd. 17, Nr. 1-4, S. 619–627. DOI 10.1023/A:1015178831786
Wilhelm, Dirk, and L. Kleiser. 2002. “Application of a Spectral Element Method to Two-Dimensional Forward-Facing Step Flow.” Journal of Scientific Computing 17 (1-4): 619–27. https://doi.org/10.1023/A:1015178831786.
Wilhelm, Dirk, and L. Kleiser. “Application of a Spectral Element Method to Two-Dimensional Forward-Facing Step Flow.” Journal of Scientific Computing, vol. 17, no. 1-4, 2002, pp. 619–27, https://doi.org/10.1023/A:1015178831786.
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