Toward one-dimensional turbulence subgrid closure for large-eddy simulation A Dissertation Defense by Randall J. McDermott Department of Chemical Engineering The University of Utah
• Coupling LES and ODT • Results • Serial • Parallel
• Future work
“Perhaps the holy grail of turbulence is the statistical resolution of all scales…” “[As] example[s] we cite the linear eddy model (LEM) and one-dimensional turbulence (ODT), which can be used as SGS models in LES. These models fall short of the ideal in that they involve empirical prescriptions, and the computational work increases as a power of the Reynolds number (albeit a smaller power than DNS).” Stephen B. Pope. Ten questions concerning the large-eddy simulation of turbulent flows. New Journal of Physics, 6 (2004) 35.
What is ODT?
The triplet map
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ODT physics: When, where, and how big are the eddies?
A comparison of LES and ODT LES • • • • • •
Dynamic (time dependent) 3d (Poor Re scaling) Large scales No empiricism Poor near walls Model sgs mixing
ODT • • • • • •
Dynamic 1d (Excellent Re scaling) Small scales Empirical parameters Excellent near-wall model Explicit sgs mixing
• Coupling LES and ODT • Results • Serial • Parallel
• Future work
A “to do” list • Fix energy leak: variance reconstruction • Adaptive ODT sample distribution • Reconcile isotropic vs. anisotropic dissipation • Understand diffusive splitting error • Dynamic ODT equilibrium analysis to nail down rate constant • Parallel algorithm verification • Near-wall validation (complex geometry)
Acknowledgements DOE (DE-FG02-97ER25308)
Sandia National Laboratories Combustion Research Facility
Thanks to my committee • • • • • •
Phil Smith Adel Sarofim Rod Schmidt Aaron Fogelson Steve Krueger Alan Kerstein
Contributors • • • •
Zhaosheng Gao (U. Utah) Tom Smith (Sandia) Steve de Bruyn Kops (U. Mass.) Stanislav Borodai (U. Utah)
• Many others: P. McMurtry, J. Klewicki, S. Kumar, Jeremy Thornock, James Sutherland, Bhushan P., Gautham K., Jennifer Spinti, Mohit Tandon, Niveditha K., David Lignell, Devin Yeates
Dedication
To my grandfather, Les Smith, who inspired my love of science
Questions? “I am an old man now, and when I die and go to heaven there are two matters on which I hope for enlightenment. One is quantum electrodynamics, and the other is the turbulent motion of fluids. And about the former I am rather optimistic.” ―Horace Lamb (1849 - 1934)
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