Abstract
A gridless, spectrally-accurate algorithm for the Stokes flow with moving boundaries is presented. The algorithm uses fixed computational domain with boundaries of the flow domain moving inside the computational domain. The spatial discretization is based on the Fourier expansions in the streamwise direction and the Chebyshev expansions in the transverse direction. Temporal discretization uses one- and two-steps implicit formulations. The boundary conditions on the moving boundaries are imposed using the immersed boundary conditions concept. Numerical tests confirm the spectral accuracy in space and theoretically-predicted accuracy in time. Different variants of the solution procedure are presented and their relative advantages are discussed. © 2008 Elsevier B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 245-259 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 198 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Dec 2008 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Research Keywords
- Gridless methods
- Immersed boundary conditions
- Moving boundary problems
- Spectral accuracy