Spectrally-Consistent Regularization of Navier–Stokes Equations
Visualitza/Obre
Cita com:
hdl:2117/125955
Tipus de documentArticle
Data publicació2019-05
Condicions d'accésAccés obert
Tots els drets reservats. Aquesta obra està protegida pels drets de propietat intel·lectual i
industrial corresponents. Sense perjudici de les exempcions legals existents, queda prohibida la seva
reproducció, distribució, comunicació pública o transformació sense l'autorització del titular dels drets
Abstract
The incompressible Navier–Stokes equations form an excellent mathematical model for turbulent flows. However, direct simulations at high Reynolds numbers are not feasible because the convective term produces far too many relevant scales of motion. Therefore, in the foreseeable future, numerical simulations of turbulent flows will have to resort to models of the small scales. Large-eddy simulation (LES) and regularization models are examples thereof. In the present work, we propose to combine both approaches in a spectrally-consistent way: i.e. preserving the (skew-)symmetries of the differential operators. Restoring the Galilean invariance of the regularization method results into an additional hyperviscosity term. In this way, the convective production of small scales is effectively restrained whereas the destruction of the small scales is enhanced by this hyperviscosity effect. This approach leads to a blending between regularization of the convective term and LES. The performance of these improvements is assessed through application to Burgers’ equation, homogeneous isotropic turbulence and a turbulent channel flow.
Descripció
This is a post-peer-review, pre-copyedit version of an article published in Journal of Scientific Computing. The final authenticated version is available online at:https://doi.org/10.1007/s10915-018-0880-x ".
CitacióTrias, F. X., Folch, D., Gorobets, A., Oliva, A. Spectrally-Consistent Regularization of Navier–Stokes Equations. "Journal of scientific computing", Maig 2019, vol. 79, núm. 2, p. 992-1014
ISSN0885-7474
Versió de l'editorhttps://link.springer.com/article/10.1007%2Fs10915-018-0880-x
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
article-CDnReg.pdf | 390,3Kb | Visualitza/Obre |