Application of high-order vorticity confinement schemes to turbulent flows
Résumé
This paper presents the application of high-order vorticity confinement (VC) to the simulation of two cases: the decay of compressible homogeneous isotropic turbulence (HIT) in an implicit LES approach and a flat plate with zero pressure gradient in a hybrid RANS/LES simulation. For the HIT case, VC has been found to reduce the numerical dissipation of vortex structures alongside a hybrid low-/high-order baseline scheme. The improvement is mostly identified in the computation of enstrophy and the turbulent kinetic energy spectrum. For the flat plate case, VC has been applied with the mode 3 of ZDES, allowing a better conservation of the turbulent eddies which are injected in the boundary layer with the Synthetic Eddy Method. Small improvements in the log region of the velocity profiles could be noted. A large but contradictory effect on skin-friction and momentum thickness, believed to be due to the source term formulation presently adopted, could also be noted. Globally, the VC methodology does not introduce artificial modifications to the complex vortex dynamics present in turbulent flows.
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