A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000

A. Tomboulides; S. M. Aithal; P. F. Fischer; E. Merzari; A. Obabko

doi:10.1115/FEDSM2014-21926

A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000

A. Tomboulides, S. M. Aithal, P. F. Fischer, E. Merzari, A. Obabko

Ken and Mary Alice Lindquist Department of Nuclear Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Scopus citations

Abstract

Unsteady Reynolds-averaged Navier-Stokes (uRANS) models can provide good engineering estimates of wall shear and heat flux at a significantly lower computational cost compared with LES simulations. In this paper, we discuss the implementation of two novel variants of the k-w turbulence model, the regularized k-w standard and the regularized k-ω SST model, in a spectral element code, Nek5000. We present formulation for the specific dissipation rate (ω) in the standard k-w model, which would obviate the need for ad hoc boundary conditions of ω on the wall. The regularized approach is designed to lead to grid-independent solutions as resolution is increased. We present a detailed comparison of these novel methods for various standard problems including the T-junction benchmark problem. The two approaches presented in this work compare very well with the standard k-w model and experimental data for all the cases studied.

Original language	English (US)
Title of host publication	Symposia
Subtitle of host publication	Transport Phenomena in Mixing; Turbulent Flows; Urban Fluid Mechanics; Fluid Dynamic Behavior of Complex Particles; Analysis of Elementary Processes in Dispersed Multiphase Flows; Multiphase Flow With Heat/Mass Transfer in Process Technology; Fluid Mechanics of Aircraft and Rocket Emissions and Their Environmental Impacts; High Performance CFD Computation; Performance of Multiphase Flow Systems; Wind Energy; Uncertainty Quantification in Flow Measurements and Simulations
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791846247
DOIs	https://doi.org/10.1115/FEDSM2014-21926
State	Published - 2014
Event	ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting, FEDSM 2014, Collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels - Chicago, United States Duration: Aug 3 2014 → Aug 7 2014

Publication series

Name	American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM
Volume	1D
ISSN (Print)	0888-8116

Other

Other	ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting, FEDSM 2014, Collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels
Country/Territory	United States
City	Chicago
Period	8/3/14 → 8/7/14

All Science Journal Classification (ASJC) codes

Mechanical Engineering

Access to Document

10.1115/FEDSM2014-21926

Cite this

Tomboulides, A., Aithal, S. M., Fischer, P. F., Merzari, E., & Obabko, A. (2014). A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000. In Symposia: Transport Phenomena in Mixing; Turbulent Flows; Urban Fluid Mechanics; Fluid Dynamic Behavior of Complex Particles; Analysis of Elementary Processes in Dispersed Multiphase Flows; Multiphase Flow With Heat/Mass Transfer in Process Technology; Fluid Mechanics of Aircraft and Rocket Emissions and Their Environmental Impacts; High Performance CFD Computation; Performance of Multiphase Flow Systems; Wind Energy; Uncertainty Quantification in Flow Measurements and Simulations (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM; Vol. 1D). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/FEDSM2014-21926

Tomboulides, A. ; Aithal, S. M. ; Fischer, P. F. et al. / A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000. Symposia: Transport Phenomena in Mixing; Turbulent Flows; Urban Fluid Mechanics; Fluid Dynamic Behavior of Complex Particles; Analysis of Elementary Processes in Dispersed Multiphase Flows; Multiphase Flow With Heat/Mass Transfer in Process Technology; Fluid Mechanics of Aircraft and Rocket Emissions and Their Environmental Impacts; High Performance CFD Computation; Performance of Multiphase Flow Systems; Wind Energy; Uncertainty Quantification in Flow Measurements and Simulations. American Society of Mechanical Engineers (ASME), 2014. (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM).

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title = "A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000",

abstract = "Unsteady Reynolds-averaged Navier-Stokes (uRANS) models can provide good engineering estimates of wall shear and heat flux at a significantly lower computational cost compared with LES simulations. In this paper, we discuss the implementation of two novel variants of the k-w turbulence model, the regularized k-w standard and the regularized k-ω SST model, in a spectral element code, Nek5000. We present formulation for the specific dissipation rate (ω) in the standard k-w model, which would obviate the need for ad hoc boundary conditions of ω on the wall. The regularized approach is designed to lead to grid-independent solutions as resolution is increased. We present a detailed comparison of these novel methods for various standard problems including the T-junction benchmark problem. The two approaches presented in this work compare very well with the standard k-w model and experimental data for all the cases studied.",

author = "A. Tomboulides and Aithal, {S. M.} and Fischer, {P. F.} and E. Merzari and A. Obabko",

note = "Publisher Copyright: Copyright {\textcopyright} 2014 by ASME.; ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting, FEDSM 2014, Collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels ; Conference date: 03-08-2014 Through 07-08-2014",

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Tomboulides, A, Aithal, SM, Fischer, PF, Merzari, E & Obabko, A 2014, A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000. in Symposia: Transport Phenomena in Mixing; Turbulent Flows; Urban Fluid Mechanics; Fluid Dynamic Behavior of Complex Particles; Analysis of Elementary Processes in Dispersed Multiphase Flows; Multiphase Flow With Heat/Mass Transfer in Process Technology; Fluid Mechanics of Aircraft and Rocket Emissions and Their Environmental Impacts; High Performance CFD Computation; Performance of Multiphase Flow Systems; Wind Energy; Uncertainty Quantification in Flow Measurements and Simulations. American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM, vol. 1D, American Society of Mechanical Engineers (ASME), ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting, FEDSM 2014, Collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels, Chicago, United States, 8/3/14. https://doi.org/10.1115/FEDSM2014-21926

A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000. / Tomboulides, A.; Aithal, S. M.; Fischer, P. F. et al.
Symposia: Transport Phenomena in Mixing; Turbulent Flows; Urban Fluid Mechanics; Fluid Dynamic Behavior of Complex Particles; Analysis of Elementary Processes in Dispersed Multiphase Flows; Multiphase Flow With Heat/Mass Transfer in Process Technology; Fluid Mechanics of Aircraft and Rocket Emissions and Their Environmental Impacts; High Performance CFD Computation; Performance of Multiphase Flow Systems; Wind Energy; Uncertainty Quantification in Flow Measurements and Simulations. American Society of Mechanical Engineers (ASME), 2014. (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM; Vol. 1D).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Obabko, A.

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N2 - Unsteady Reynolds-averaged Navier-Stokes (uRANS) models can provide good engineering estimates of wall shear and heat flux at a significantly lower computational cost compared with LES simulations. In this paper, we discuss the implementation of two novel variants of the k-w turbulence model, the regularized k-w standard and the regularized k-ω SST model, in a spectral element code, Nek5000. We present formulation for the specific dissipation rate (ω) in the standard k-w model, which would obviate the need for ad hoc boundary conditions of ω on the wall. The regularized approach is designed to lead to grid-independent solutions as resolution is increased. We present a detailed comparison of these novel methods for various standard problems including the T-junction benchmark problem. The two approaches presented in this work compare very well with the standard k-w model and experimental data for all the cases studied.

AB - Unsteady Reynolds-averaged Navier-Stokes (uRANS) models can provide good engineering estimates of wall shear and heat flux at a significantly lower computational cost compared with LES simulations. In this paper, we discuss the implementation of two novel variants of the k-w turbulence model, the regularized k-w standard and the regularized k-ω SST model, in a spectral element code, Nek5000. We present formulation for the specific dissipation rate (ω) in the standard k-w model, which would obviate the need for ad hoc boundary conditions of ω on the wall. The regularized approach is designed to lead to grid-independent solutions as resolution is increased. We present a detailed comparison of these novel methods for various standard problems including the T-junction benchmark problem. The two approaches presented in this work compare very well with the standard k-w model and experimental data for all the cases studied.

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BT - Symposia

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Tomboulides A, Aithal SM, Fischer PF, Merzari E, Obabko A. A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000. In Symposia: Transport Phenomena in Mixing; Turbulent Flows; Urban Fluid Mechanics; Fluid Dynamic Behavior of Complex Particles; Analysis of Elementary Processes in Dispersed Multiphase Flows; Multiphase Flow With Heat/Mass Transfer in Process Technology; Fluid Mechanics of Aircraft and Rocket Emissions and Their Environmental Impacts; High Performance CFD Computation; Performance of Multiphase Flow Systems; Wind Energy; Uncertainty Quantification in Flow Measurements and Simulations. American Society of Mechanical Engineers (ASME). 2014. (American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM). doi: 10.1115/FEDSM2014-21926

A novel variant of the K- ω Urans model for spectral element methods - implementation, verification and validation in NEK5000

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