Bulletin of the American Physical Society
65th Annual Meeting of the APS Division of Fluid Dynamics
Volume 57, Number 17
Sunday–Tuesday, November 18–20, 2012; San Diego, California
Session R22: Turbulence Modeling 
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Chair: Karan Venayagamoorthy, Colorado State University Room: 30C 
Tuesday, November 20, 2012 1:00PM  1:13PM 
R22.00001: In Marriage of Model and Numerics, Glimpses of the Future AliReza Nejadmalayeri, Oleg V. Vasilyev, Alexei Vezolainen A newly defined concept of \emph{m}refinement (modelrefinement), which provides twoway coupling of physical models and numerical methods, is employed to study the Reynolds scaling of SCALES with constant levels of fidelity. Within the context of waveletbased methods, this new hybrid methodology provides a hierarchical space/time dynamically adaptive automatic smooth transition from resolving the Kolmogorov lengthscale (WDNS) to decomposing deterministiccoherent/stochasticincoherent modes (CVS) to capturing more/less energetic structures (SCALES). This variable fidelity turbulence modeling approach utilizes a unified single solver framework by means of a Lagrangian spatially varying thresholding technique. The fundamental findings of this computational complexity study are summarized as follows: 1) SCALES can achieve the objective of ``controlling the captured flowphysics as desired'' by profoundly small number of spatial modes; 2) Reynolds scaling of constantdissipation SCALES is the same regardless of fidelity of the simulations; 3) the number of energy containing structures at a fixed level of resolved turbulent kinetic energy scales linearly with \emph{Re}; and 4) the fractal dimension of coherent energy containing structures is close to unity. [Preview Abstract] 
Tuesday, November 20, 2012 1:13PM  1:26PM 
R22.00002: DetachedEddy Simulation Based on the $v^2$$f$ Model SolKeun Jee, Karim Shariff Detachededdy simulation (DES) based on the $v^2$$f$ Reynoldsaveraged NavierStokes (RANS) model is developed and tested. The $v^2$$f$ model incorporates anisotropy of nearwall turbulence, which is absent in other RANS models commonly used in the DES community. Here, we present preliminary but encouraging results for the proposed model. The constant, $C_{\rm{DES}}$, required in the DES formulation was calibrated by simulating both decaying and statisticallystationary isotropic turbulence. Both cases provide the same value of $C_{\rm{DES}}$, indicating that the forced case is an alternative way to determine the coefficient. After $C_{\rm{DES}}$ is calibrated, the $v^2$$f$ DES formulation is tested for flow around a circular cylinder at a Reynolds number of 3900, in which case turbulence develops after separation. Simulations indicate that this model represents the turbulent wake nearly as accurately as the dynamic Smagorinsky model. For comparison, SpalartAllmarasbased DES is also included in the cylinder flow simulation. [Preview Abstract] 
Tuesday, November 20, 2012 1:26PM  1:39PM 
R22.00003: Finitedimensional Asymptotics and DegreesofFreedom Estimation for Turbulence Models Incorporating Spectral Subgridscale Viscosity Joel Avrin We study the finitedimensional largetime behavior of threedimensional forced turbulence as modeled by a modified NavierStokes equation. Subgridscale viscous effects are modeled by adding a hyperviscous term, but only to the high frequencies past a cutoff wavenumber $m$. We theoretically establish for arbitrarily large Reynolds numbers that the asymptotic (i.e. largetime) behavior of the system is finitedimensional with an estimate on the number of degrees of freedom well within the LandauLifschitz estimates. We also verify in the case that $m$ is large enough that the overall largetime dynamics are controlled by the largetime dynamics of the inertial range. Given these promising results, we now would like to explore the physicality of the model by modifying the arguments underlying the ChapmanEnskog expansion. [Preview Abstract] 
Tuesday, November 20, 2012 1:39PM  1:52PM 
R22.00004: Invariant turbulence models Alexander Bihlo, Elsa Maria Dos Santos CardosoBihlo, JeanChristophe Nave, Roman Popovych Various subgridscale closure models break the invariance of the Euler or NavierStokes equations and thus violate the geometric structure of these equations. A method is shown which allows one to systematically derive invariant turbulence models starting from noninvariant turbulence models and thus to correct artificial symmetrybreaking. The method is illustrated by finding invariant hyperdiffusion schemes to be applied in the twodimensional turbulence problem. [Preview Abstract] 
Tuesday, November 20, 2012 1:52PM  2:05PM 
R22.00005: Kolmogorov hypotheses for variableresolution turbulence simulations Dasia Reyes, Sharath Girimaji Variableresolution (VR) turbulence computation approaches such as detachededdy simulations (DES), hybrid RANSLES, partiallyaveraged NavierStokes (PANS) methods and partiallyintegrated turbulence model (PITM) are gaining popularity in engineering applications. Justifiably, these methods can be considered direct numerical simulations (DNS) of a variableviscosity (nonNewtonian) fluid. Subject to this paradigm, we extend Kolmogorov's first and second similarity hypotheses for VR calculations. The resulting scaling laws can be invaluable in assessing the physical validity of spatiotemporal fluctuations of VR methods. Investigation of PANS decaying isotropic turbulence shows that the resolved field Kolmogorov scales vary with resolution as expected. [Preview Abstract] 
Tuesday, November 20, 2012 2:05PM  2:18PM 
R22.00006: Differential filtering on unstructured grids with application to grid adaptation Sanjeeb Bose, Parviz Moin, Frank Ham Extension of explicitly filtered LES methods and their corresponding SGS models require a filtering operator that is lowpass on arbitrary meshes and can be decoupled from the underlying grid topology. Previously, we have utilized the differential filters proposed by Germano (1986) to perform explicitly filtered LES on unstructured grids. This framework is now extended to extract an estimate of the mean SGS kinetic energy to determine regions where mesh refinement is required. This procedure is automated using a local, anisotropic mesh refinement tool, adapt. This approach has been applied to large eddy simulation of a threedimensional diffuser at Re=50,000, experimentally characterized by Kolade (2010). Results from two different mesh resolutions will be presented; an initially coarse mesh and a mesh refined using the SGS kinetic energy estimates. The adapted mesh has increased resolution in the separated shear layers originating from the bottom and side expanding walls. The accuracy of the SGS model will also be assessed through comparison of the LES predictions with experimental measurements. Other recent applications to flow over a cylinder with heat transfer and to flow over a turbine blade will be presented. [Preview Abstract] 

R22.00007: ABSTRACT WITHDRAWN 
Tuesday, November 20, 2012 2:31PM  2:44PM 
R22.00008: ABSTRACT MOVED TO R20.00010 
Tuesday, November 20, 2012 2:44PM  2:57PM 
R22.00009: Computational modeling of scalar transport and buoyancy effects in turbulent flows using ODTLES Alan Kerstein, Christoph Glawe, Heiko Schmidt, Rupert Klein, Esteban GonzalezJuez, Rodney Schmidt ODTLES is a stochastic model for turbulent flow simulation consisting of a latticework of instantiations of the onedimensionalturbulence (ODT) model, each of which is time advanced on a 1D domain with full spatial and temporal resolution. Collectively they form a 3D coarse mesh on which 3D flow is captured by coupling the 1D domains so as to obtain a formulation that reduces to direct numerical simulation (DNS) and conventional largeeddy simulation in the appropriate limits. The advantage of ODTLES relative to the latter is the builtin resolution of small scales where needed (near walls, across buoyancy jumps, etc.) at lower cost than resolving them using 3D DNS. A recent formulation targeting confined flow [1] is generalized to incorporate scalar fields and buoyancy effects. The generalized formulation, illustrative applications, and planned future development are described. \\[4pt] [1] E. D. GonzalezJuez, R. C. Schmidt, A. R. Kerstein, Phys. Fluids \textbf{23}, 125102 (2011). [Preview Abstract] 
Tuesday, November 20, 2012 2:57PM  3:10PM 
R22.00010: Commutative Recursive Filters for ExplicitFilter LargeEddy Simulation of Turbulent Flows Myeongkyun Kim, Daegeun Yoon, Donghyun You One of the most notable drawbacks associated with the implicitfilter LES is that the simulation result is dependent on the numerical grid employed due to the inherent dependence of the filtering operation on the numerical discretization. Alternatively, commutative explicit filters can be applied to distinguish the filtering operation from the underlying mesh distribution, thereby eliminating grid sensitivities. The efficacy of explicitfiltering to obtain gridindependent solutions of turbulent flows has been successfully demonstrated in the previous research (Bose, Moin \& You, Phys. Fluids, 2010; Singh, You \& Bose, Phys. Fluids, 2012). However, the use of broadwidth filters accompanies significant increase in computational cost in terms of memory space and communication load for a distributed memory (MPIbased) parallel computation. To overcome the difficulty, a recursive filtering algorithm which can effectively replace a broadwidth commutative filter with a series of narrowwidth filters. The efficacy of the commutative recursive filtering method is evaluated in explicitfilter LES of turbulent channel flow, with particular attention to the performance of commutative recursive filters in terms of computational cost and memory requirement for a parallel computation. [Preview Abstract] 
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