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Original Articles

Constrained optimization of turbulent mixing-layer evolution

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Article: N18 | Received 23 Oct 2008, Accepted 25 Jan 2009, Published online: 22 Jul 2009

References

  • Brown , G. L. and Roshko , A. 1974 . On density effects and large structure in turbulence mixing layer . J. Fluid Mech. , 64 : 775
  • Winant , C. D. and Browand , F. K. 1974 . Vortex pairing: The mechanism of turbulent mixing layer growth at moderate Reynolds number . J. Fluid Mech. , 63 : 237
  • Bernal , L. P. and Roshko , A. 1986 . Streamwise vortex structure in plane mixing layers . J. Fluid Mech. , 170 : 499
  • Metcalfe , R. W. , Orszag , S. A. , Brachet , M. E. , Menon , S. and Riley , J. J. 1987 . shape Secondary instability of a temporally growing mixing layer . Fluid J. Mech. , 184 : 207
  • Rogers , M. M. and Moser , R. D. 1992 . The 3-Dimensional Evolution of a Plane Mixing Layer – the Kelvin-Helmholtz Rollup . J. Fluid Mech. , 243 : 183 – 226 .
  • Moser , R. D. and Rogers , M. M. 1993 . The 3-Dimensional Evolution of a Plane Mixing Layer – Pairing and Transition to Turbulence . J. Fluid Mech. , 247 : 275 – 320 .
  • Batt , G. 1975 . Some measurements on the effect of tripping the 2D shear layer . AIAA Journal , 13 : 245
  • Oster , D. and Wygnanski , I. 1982 . The forced mixing layer between parallel streams . J. Fluid Mech. , 123 : 91
  • Balaras , E. , Piomelli , U. and Wallace , J. M. 2001 . Self-similar states in turbulent mixing layers . J. Fluid Mech. , 446 : 1 – 24 .
  • Fathali , M. , Meyers , J. , Rubio , G. , Smirnov , S. and Baelmans , M. 2008 . shape Sensitivity analysis of initial condition parameters on the transitional temporal turbulent mixing layer . Turbul J. , 9 : 1 – 28 .
  • Ko , J. , Lucor , D. and Sagaut , P. 2008 . Sensitivity of two-dimensional spatially developing mixing layers with respect to uncertain inflow conditions . Phys. Fluids , 20 : 077102
  • Bewley , T. R. , Moin , P. and Temam , R. 2001 . DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms . J. Fluid Mech. , 447 : 179 – 225 .
  • Hilgers , A. and Boersma , B. J. 2001 . Optimization of turbulent jet mixing . Fluid Dynam. Res. , 29 : 345 – 368 .
  • Wei , M. J. and Freund , J. B. 2006 . A noise-controlled free shear flow . J. Fluid Mech. , 546 : 123 – 152 .
  • Press , W. H. , Teukolsky , S. A. , Vetterling , W. T. and Flannery , B. P. 1996 . shape Numerical Recipes in FORTRAN 77: The Art of Scientific Computing, , 2nd ed. , Cambridge : Cambridge University press .
  • Luenberger , D. G. 2003 . Linear and Nonlinear Programming, , 2nd ed. , Boston : Kluwer Academic Publishers .
  • Nocedal , J. and Wright , S. 2006 . Numerical Optimization, , 2nd ed. , New York : Springer .
  • Brent , R. 1973 . Algorithms for Minimization without Derivatives , Englewood Cliffs, New Jersey : Series in automatic computation Prentice-Hall, Inc. .
  • Giles , M. B. and Pierce , N. A. 1850 . Adjoint equations in CFD: Duality, boundary conditions and solution behavior AIAA Paper 97
  • Giles , M. B. and Pierce , N. A. 2000 . An introduction to the adjoint approach to design . Flow Turbul. Combust. , 65 : 393 – 415 .
  • Nicoud , F. , Baggett , J. S. , Moin , P. and Cabot , W. 2001 . Large eddy simulation wall-modeling based on suboptimal control theory and linear stochastic estimation . Phys. Fluids , 13 : 2968 – 2984 .
  • Templeton , J. A. , Wang , M. and Moin , P. 2006 . An efficient wall model for large-eddy simulation based on optimal control theory . Phys. Fluids , 18 : 025101
  • Dimotakis , P. E. 2005 . Turbulent mixing . Annu. Rev. Fluid Mech. , 37 : 329 – 356 .
  • Warhaft , Z. 2000 . Passive scalars in turbulent flows . Annu. Rev. Fluid Mech. , 32 : 203 – 240 .
  • Pironneau , O. 1974 . On Optimum Design in Fluid Mechanics . J. Fluid Mech. , 64 : 97 – 110 .
  • Jameson , A. 1988 . Aerodynamic design via control theory . J. Sci. Comput. , 3 : 233 – 260 .
  • Jameson , A. , Martinelli , L. and Pierce , N. A. 1998 . Optimum aerodynamic design using the Navier-Stokes equations . Theor. Comput. Fluid Dyn. , 10 : 213 – 237 .
  • Luenberger , D. G. 1969 . Optimization by Vector Space Methods , New York : John Wiley & Sons .
  • Vreman , B. , Geurts , B. and Kuerten , H. 1997 . Large-Eddy Simulation of the turbulent mixing layer . J. Fluid Mech. , 339 : 357 – 390 .
  • Pierrehumbert , R. T. and Widnall , S. E. 1982 . The two-dimensional and 3-dimensional instabilities of a spatially periodic shear-layer . J. Fluid Mech. , 114 : 59 – 82 .
  • Meyers , J. and Sagaut , P. 2007 . Evaluation of Smagorinsky variants in large-eddy simulations of wall-resolved plane channel flows . Phys. Fluids ,
  • Canuto , C. , Hussaini , M. , Quarteroni , A. and Zang , T. , eds. 2006 . Spectral Methods, Fundamentals in Single Domains, Scientific computation , Berlin : Springer .
  • Verstappen , R. and Veldman , A. E. P. 2003 . Symmetry-preserving discretization of turbulent flow . J. Comput. Phys. , 187 : 343 – 368 .
  • Jeong , J. and Hussain , F. 1995 . On the identification of a vortex . J. Fluid Mech. , 285 : 69 – 94 .
  • Schmid , P. J. and Henningson , D. S. 2001 . Stability and Transition in Shear Flows , New York : Springer-Verlag New York .

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