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A heuristic argument for the sole use of numerical stabilization with no physical LES modeling in the simulation of incompressible turbulent flows
Guasch, Oriol; Codina, Ramon
Universitat Politècnica de Catalunya. Departament de Resistència dels Materials i Estructures en Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
We aim at giving support to the idea that no physical Large Eddy Simulation (LES) model should be used in the simulation of turbulent flows. It is heuristically shown that the rate of transfer of subgrid kinetic energy provided by the stabilization terms of the Orthogonal Subgrid Scale (OSS) finite element method is already proportional to the molecular physical dissipation rate (for an appropriate choice of the stabilization parameter). This precludes the necessity of including an extra LES physical model to achieve this behavior and somehow justifies the purely numerical approach to solve turbulent flows. The argumentation is valid for a fine enough mesh with characteristic element size, $h$, so that $h$ lies in the inertial subrange of a turbulent flow.
Àrees temàtiques de la UPC::Enginyeria civil
Eddy flux
Stabilized finite elements
Large eddy simulation
Variational multiscale
Subgrid scale modeling
Orthogonal subgrid scales
Turbulent flows
Fluids -- Models matemàtics
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