Commutator-errors in large-eddy simulation
| dc.creator | Geurts, Bernard J. | |
| dc.creator | Holm, Darryl D. | |
| dc.date | 2002-10-17 | |
| dc.date.accessioned | 2026-07-07T05:34:22Z | |
| dc.date.available | 2026-07-07T05:34:22Z | |
| dc.description | A new formulation is derived for the commutator-errors in large-eddy simulation of incompressible flow. These commutator-errors arise from the application of non-uniform filters to the Navier-Stokes equations. As a consequence, the filtered velocity field is no longer solenoidal. The order of magnitude of the commutator-errors is compared with the divergence of the turbulent stresses. This shows that one can not reduce the size of the commutator-errors independently of the turbulent stress terms by some judicious construction of the filter operator. Similarity modeling for the commutator-errors is presented, including an extension of Bardina's approach and the application of Leray regularization. The performance of the commutator-error parameterization is illustrated with the one-dimensional Burgers equation. For large filter-width variations the Leray approach is shown to capture the filtered flow with better accuracy than is possible with Bardina's approach. | |
| dc.description | 14 pages, 2 figures, Submitted to Physics of Fluids | |
| dc.identifier | https://arxiv.org/abs/nlin/0210037 | |
| dc.identifier | http://arxiv.org/abs/nlin/0210037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80339 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Commutator-errors in large-eddy simulation | |
| dc.type | text |