dc.contributor |
Universitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics |
dc.contributor |
Universitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor |
dc.contributor.author |
Trias Miquel, Francesc Xavier |
dc.contributor.author |
Verstappen, R.W.C.P. |
dc.contributor.author |
Gorobets, Andrei |
dc.contributor.author |
Soria Guerrero, Manel |
dc.contributor.author |
Oliva Llena, Asensio |
dc.date |
2010-06-23 |
dc.identifier.citation |
Trias, F. [et al.]. Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity. "Computers and fluids", 23 Juny 2010, vol. 39, núm. 10, p. 1815-1831. |
dc.identifier.citation |
0045-7930 |
dc.identifier.citation |
10.1016/j.compfluid.2010.06.016 |
dc.identifier.uri |
http://hdl.handle.net/2117/11984 |
dc.language.iso |
eng |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria |
dc.subject |
Natural convection |
dc.subject |
Turbulence -- Mathematical models |
dc.subject |
Parameter-free turbulence model |
dc.subject |
Turbulències -- Simulació numèrica |
dc.title |
Parameter-free symmetry-preserving regularization modeling of a turbulent differentially heated cavity |
dc.type |
info:eu-repo/semantics/publishedVersion |
dc.type |
info:eu-repo/semantics/article |
dc.description.abstract |
Since direct numerical simulations of buoyancy driven flows cannot be computed at high Rayleigh numbers, a dynamically less complex mathematical formulation is sought. In the quest for such a formulation, we consider regularizations (smooth approximations) of the non-linearity: the convective term is altered to reduce the production of small scales of motion by means of vortex stretching. In doing so, we propose to preserve the symmetry and conservation properties of the convective terms exactly. This requirement yielded a novel class of regularizations [Comput Fluids 2008;37:887] that restrain the convective production of smaller and smaller scales of motion in an unconditionally stable manner, meaning that the velocity
cannot blow up in the energy-norm (in 2D also: enstrophy-norm). The numerical algorithm used to solve the governing equations preserves the symmetry and conservation properties too. In the present
work, a criterion to determine dynamically the regularization parameter (local filter length) is proposed: it is based on the requirement that the vortex stretching must stop at the scale set by the grid. Therefore,
the proposed method constitutes a parameter-free turbulence model. The resulting regularization method is tested for a 3D natural convection flow in an air-filled (Pr = 0.71) differentially heated cavity of height aspect ratio 4. Direct comparison with DNS results at Rayleigh number 6.4 X 10 8 ≤ Ra ≤ 10 11 shows fairly good agreement even for very coarse grids. Finally, the robustness of the method is tested by performing simulations with Ra up to 10 17. A 2/7 scaling law of Nusselt number has been obtained for the investigated range of Ra. |
dc.description.abstract |
Peer Reviewed |