We study the two dimensional time dependent Large Eddy Simulation method applied to incompressible Navier–Stokes system with Smagorinsky’s eddy viscosity model and a filter width that depends on local mesh size. The discrete is based implicit Euler scheme conforming finite element for space discretizations, respectively. establish reliable efficient posteriori error estimation between numerical...

A dynamic eddy viscosity (DEV) model and a constant (CEV) are proposed for stabilizing the temporal direct deconvolution (TDDM) in large-eddy simulation of turbulence. Compared to original unresolved subfilter-scale used TDDM, new models reduce number empirical coefficients make TDDM more convenient be applied practice. The DEV does not have any coefficients, CEV has only one coefficient that i...

Response modes computed via linear resolvent analysis of a turbulent mean-flow field have been shown to qualitatively capture characteristics the observed coherent structures in both wall-bounded and free shear flows. To make such models predictive, nonlinear forcing term must be closed. Strategies do so include imposing self-consistent sets triadic interactions, proposing various source models...

A comparative assessment is done on the effectiveness of some developed and reported macroscopic and mesoscopic models deployed for addressing the three-dimensional thermo-fluidic transport during high-power laser surface alloying process. The macroscopic models include the most celebrated k–ε turbulence model and the large eddy simulation (LES) model, whereas a kinetic theory-based lattice Bol...

Direct numerical simulations (DNS) of the incompressible Navier-Stokes equations are limited to relatively low-Reynolds numbers. Therefore, dynamically less complex mathematical formulations are necessary for coarse-grain simulations. Regularization and eddy-viscosity models for Large-Eddy Simulation are examples thereof. They rely on differential operators that should be able to capture well d...

We present a detailed statistical description of turbulence in the high-fidelity Large Eddy Simulation (LES) hypersonic shock-and-turbulent boundary layer interactions with strong separation. Our LES method uses 4th-order, bandwidth-optimized Weighted Essentially Non-Oscillatory (WENO) scheme combined robust shock-capturing and dynamic mixed model formulations for closure subgrid scale terms. m...

The dimensionality of turbulence in fluid layers determines their properties. We study electromagnetically driven flows in finite-depth fluid layers and show that eddy viscosity, which appears as a result of three-dimensional motions, leads to increased bottom damping. The anomaly coefficient, which characterizes the deviation of damping from the one derived using a quasi-two-dimensional model,...

An explicit time filter is applied to the Navier-Stokes equation prior to a space filter. The time filter is supposed to be smooth, and an exact expansion depending on the time derivatives of the velocity is derived for the associated stress tensor. On the contrary, the effect of the space filter is treated as usual and an eddy viscosity model is introduced in the LES equation. The total stress...

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