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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish (US)
Title of host publicationSymposia
Subtitle of host publicationTransport 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
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791846247
DOIs
StatePublished - Jan 1 2014
Externally publishedYes
EventASME 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 2014Aug 7 2014

Publication series

NameAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM
Volume1D
ISSN (Print)0888-8116

Other

OtherASME 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
CountryUnited States
CityChicago
Period8/3/148/7/14

ASJC Scopus subject areas

  • Mechanical Engineering

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