Título:
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Spectrally-Consistent Regularization of Navier–Stokes Equations
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Autor/a:
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Trias Miquel, Francesc Xavier; Folch Flórez, David; Gorobets, A.; Oliva Llena, Asensio
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics; Universitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor |
Abstract:
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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 ". |
Abstract:
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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. |
Abstract:
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Peer Reviewed |
Materia(s):
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-Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids -Turbulence--Simulation methods -Navier-Stokes equations -Regularization -Navier–Stokes -LES -Turbulence -Turbulència -- Simulació numèrica -Equacions de Navier-Stokes |
Derechos:
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Tipo de documento:
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Artículo - Versión presentada Artículo |
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