Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9877700 | Physica D: Nonlinear Phenomena | 2005 | 20 Pages |
Abstract
We develop a new penalty method to derive low-dimensional Galerkin models for fluid flows with time-dependent boundary conditions. We then outline a procedure based on bifurcation analysis in selecting the proper values of the penalty parameter(s) that yield asymptotically stable periodic solutions of the highest possible accuracy. We illustrate this new approach by studying flow past a circular cylinder using direct numerical simulation (DNS) data, and a wave-structure interaction problem using particle image velocimetry (PIV) data.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
S. Sirisup, G.E. Karniadakis,