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Ten questions concerning the large-eddy simulation of turbulent flows
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Currently, methods of generating inlet conditions for LES are broadly divided into two categories classified by Tabor et al.: The first method for generating turbulent inlets is to synthesize them according to particular cases, such as Fourier techniques, principle orthogonal decomposition POD and vortex methods. The synthesis techniques attempt to construct turbulent field at inlets that have suitable turbulence-like properties and make it easy to specify parameters of the turbulence, such as turbulent kinetic energy and turbulent dissipation rate.
In addition, inlet conditions generated by using random numbers are computationally inexpensive. However, one serious drawback exists in the method. The synthesized turbulence does not satisfy the physical structure of fluid flow governed by Navier-Stokes equations. The second method involves a separate and precursor calculation to generate a turbulent database which can be introduced into the main computation at the inlets. However, the method of generating turbulent inflow by precursor simulations requires large calculation capacity. Researchers examining the application of various types of synthetic and precursor calculations have found that the more realistic the inlet turbulence, the more accurate LES predicts results.
To discuss the modeling of unresolved scales, first the unresolved scales must be classified.
They fall into two groups: Resolved sub-filter scales only exist when filters non-local in wave-space are used such as a box or Gaussian filter. These resolved sub-filter scales must be modeled using filter reconstruction. The form of the SGS model depends on the filter implementation. As mentioned in the Numerical methods for LES section, if implicit LES is considered, no SGS model is implemented and the numerical effects of the discretization are assumed to mimic the physics of the unresolved turbulent motions.
Without a universally valid description of turbulence, empirical information must be utilized when constructing and applying SGS models, supplemented with fundamental physical constraints such as Galilean invariance . Some models may be categorized as both.
Functional models are simpler than structural models, focusing only on dissipating energy at a rate that is physically correct. These are based on an artificial eddy viscosity approach, where the effects of turbulence are lumped into a turbulent viscosity. The approach treats dissipation of kinetic energy at sub-grid scales as analogous to molecular diffusion. Most eddy viscosity SGS models model the eddy viscosity as the product of a characteristic length scale and a characteristic velocity scale.
In an attempt to formulate a more universal approach to SGS models, Germano et al. The dynamic model then finds the coefficient that best complies with the Germano identity. Hence, additional averaging of the error in the minimization is often employed, leading to:.
This has made the dynamic model more stable and making the method more widely applicable. The averaging can be a spatial averaging over directions of statistical homogeneity e. From Wikipedia, the free encyclopedia. Filter large eddy simulation. This section is empty.
You can help by adding to it. Journal of Fluid Mechanics. Annual Review of Fluid Mechanics. Large-Eddy Simulation for Acoustics. Advances in Geophysics A. Physics of Fluids A. Large eddy simulation for compressible flows.
Ten questions concerning the large-eddy simulation of turbulent flows - IOPscience
Journal of Computational Physics. Numerical Methods for Conservation Laws 2nd ed. Implicit large eddy simulation. Inlet conditions for large eddy simulation: Retrieved from " https: Partial differential equations Fluid dynamics Fluid mechanics Turbulence Turbulence models Computational fluid dynamics. Articles to be expanded from August All articles to be expanded Articles with empty sections from August All articles with empty sections Articles using small message boxes. Views Read Edit View history.
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