PPT-LES of Turbulent Flows

Lecture 5 ME EN 7960003 Prof Rob Stoll Department of Mechanical Engineering University of Utah Fall 2014 The LES filter can be used to decompose the velocity field into resolved and subfilter scale SFS components. Divesting in turbulent times Achieving value in a buyer’s marketContentsForewordSurvey highlightsStrategyPreparationExecutionUnprecedented times for business10 Golden rulesHow Ernst & Young can Andy Pon. Doug . Johnstone. Michael J. Kaufman. Paola . Caselli. F. rancesco . Fontani. Aina. Palau. Michael J. Butler. Izaskun. Jiménez-Serra. René Plume. Jonathan C. Tan. Felipe . Alves. Pau Frau. : . Lecture 8. (ME EN 7960-003). Prof.. Rob Stoll. Department of Mechanical Engineering. University of Utah. Fall 2014. LES and numerical methods. LES requires that the filtered equations of motion (see Lectures 5 and 6) be solved on a numerical grid.. : Lecture 12. (ME EN 7960-008). Prof.. Rob Stoll. Department of Mechanical Engineering. University of Utah. Spring 2011. Turbulence modeling (alternative strategies). . Filtered Density Functions (FDF). spectra. in non-. Abelian. . gauge. . theories. Sebastian Scheffler,. TU Darmstadt,. 30 . January. 2009,. ¢. (2009) Heidelberg. Journal . references. : . J. Berges, S. Scheffler, D. . Sexty. , PRD 77, 034504 (2008) , arXiv. Andy Pon, . Doug . Johnstone. ,. Michael J. Kaufman. ApJ. , submitted May 2011 . Ridge et al. (2006). Observed. (FWHM = 1.9 km / . s. ). Thermal broadening alone. (FWHM = 0.2 km / . s. ). 12. CO J = 1-0. of a turbulent stably stratified air flow. above the wavy water surface.. . O. A. Druzhinin, Y. I. Troitskaya. . Institute of Applied Physics, RAS, Nizhny Novgorod, Russia. and. S.S. Zilitinkevich. : Lecture 7. (ME EN 7960-003). Prof.. Rob Stoll. Department of Mechanical Engineering. University of Utah. Fall 2014. Turbulence modeling (alternative strategies). So far our discussion of turbulence modeling has centered around separating the flow into resolved and . (ME EN 7960-008). Prof. Rob Stoll. Department of Mechanical Engineering. University of Utah. Spring 2011. Vorticity: or. Turbulent Flow Properties. Why study turbulence? Most real flows in engineering applications are turbulent. . (ME EN 7960-008). Prof. Rob Stoll. Department of Mechanical Engineering. University of Utah. Spring . 2011. Scale Separation. We discussed LES in a very generic way to this point:. Resolve only the largest energy containing scales. Navier. -Stokes. Equations -- . RANS. 4 equations; 7 unknowns. Similar situation as when we went from Cauchy’s . eq. to N-S . eq. A. j. . = eddy viscosity. [m. 2. /s]. Turbulence Closure. Turbulent Kinetic Energy (TKE). 1. Sandia . National Laboratories is a multi-mission laboratory managed and operated by National Technology and Engineering Solutions of  Sandia, LLC, a wholly owned subsidiary of Honeywell International,  Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA0003525.  SAND2017-6417C. Gregory Falkovich. Weizmann Institute of Science. Rutgers, May 10, 2009. D. Bernard, A. Celani,. G. Boffetta, S. Musacchio. W. L. Physics Today . 59. (4), 43 (2006). Turbulence is a state of a physical system with many degrees of freedom deviated far from equilibrium. It is irregular both in time and in space.. (ME EN 7960-003). Prof.. Rob Stoll. Department of Mechanical Engineering. University of Utah. Fall 2014. The LES filter can be used to decompose the velocity field into resolved and subfilter scale (SFS) components.