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Texts:    (1) Turbulence Modeling for CFD, 3rd edition
      (Wilcox, 2006)
   (2) Turbulent Flows (Pope, 2000)
    (3) LES of Turbulent Incomp. Flows (John, 2004)
References:    (4) Analysis of Turbulent BLs (Cebeci & Smith, 1974)
  (5) The Computational Fluid/Thermal Sciences,       (Baker, 2009)
  (6) Fluid Dynamics Handbook (1998 Baker, Ch. 28)
  (7) Computational Fluid Mechanics and Heat Transfer       (Anderson, Tannehill and Pletcher, 1999)
  (8) Analytical SFS tensor/vector closure for rational      LES thermal Navier-Stokes
      (Baker, Grubert and Orzechowski, 2009)
 
 
class date topics reference prob due lab due
 
JAN  8  Schedule, course requirements, turbulent flow characterization  TFD.1-10
 (1) Ch. 1
P-1   L-1   
13  CFD WS tutorial, GWSh+TS, TWSh, stability, spectral concepts  CFD.1-8
 CST.1-3
       
15  CFD spectral theory, stability, dissipation  CST.4-17
 (5) 5.5 - 5.7
  P-1   L-1
 20  Parabolic Navier-Stokes, steady GWSh + TS,  accuracy, convergence; time-averaging, Boussinesq, MLT  PNS.1-8
 (5) 3.4 - 3.7
 (5) 4.1-4.8
 (4)
P-2    
22  Turbulent BL, TKE closure, GWSh, {FQ}, quasi-Newton [JAC], convergence, Re stress models  PNS.9-19
 (5) 4.9 - 4.14
L-2  
27  Unsteady INS, pressure projection, Newton, phi, sumphi, pressure, TWSh, stability, dissipation  PPNS.1-10
 (5) 5.1 - 5.4
P-3 P-2    
29  Unsteady RaNS, time-averaging, k-eps, wall functions, quasi-Newton, Re stress, TWSh, stability, flux vectors  PPNS.10-19
 (6)
     
FEB 3  Turbulence flow characterization, RaNS, correlations, far-field similarity  TFC.1-8
 (1) Ch. 1, 2
P-4    L-3  L-2
RaNS MLT similarity solutions, modifications, norms  TFC.9-15
 (1) Ch. 3
   P-3    
10  10  RaNS + PDE closure models, BCs, similarity, farfield  RANS.1-8
 (1) Ch.4
P-5    
11  12  RaNS + PDE closure models, farfield, low Ret, comparisons  RANS.9-17
 (1) Ch.4
P-4  L-4
12  17  Compressible Navier-Stokes, Favre avg., closure issues  CNS.1-6
 (1) Ch.5.1-5.4
P-6      
13  19  Compressible NS, law of the wall, PDE closure, near-field solutions  CNS.7-12
 (1) Ch. 5.6 - 5.7
  P-5    
14  24  Reynolds stress models, non-linear, frame indifference, algebraic, parabolic-order ASM  ASM.1-8
 (1) Ch. 6.1 - 6.2
 (5) 4.10 - 4.13
P-7    L-5 L-3
15  26  Re stress transport, closure correlations, low Ret  ASM.9-17
 (1) Ch. 6
P-6    
16  MAR 3  Beyond Re-averaged NS, DNS, LES, space filtering, BCs, DES  BRaNS.1-8
 (1) Ch. 8
P-8    L-6  
17  Math descriptions for fluid dynamics, random variables mechanics  MMFD.1-9
 (2) Ch. 2, 3
P-9      L-4
18  10  Probability distributions, joint random variables, processes  MMFD.10-18
 (2) Ch. 3
P-7  
19  12  Random vector fields, covariance, mean flow N-S, Boussinesq closure  MMFD.19-25
 (2) Ch. 3, 4
  P-8   L-5
  17  Spring Break      
  19  Spring Break      
20  24  DNS, LES, SGS, overview, filtered random variable, Fourier transforms  LES.1-8
 (2) Ch. 9, 13
P-10     L-6
21  26  LES, filtered spectra, mesh resolution, Smagorinsky closure, filter  LES.8-16
 (2) Ch. 13
P-9    
22  31  LES closure, dynamic, implicit CFD, comparative computational issues  LES.16-18
 CLES.1-6
 (3) Ch. 1
   
23  APR 2  Computational LES implementation, errors, notation, spaces, norms  CLES.7-13
 (3) Ch. 2, 3
   
24  Closure for filtered stress via Gaussian filter approximations  CLES.14-20
 (3) Ch. 4
P-11    L-7
25  LES solution process, weak forms existence, uniqueness, discretization, asymptotic convergence, verification  CLES.21-29
 (3) Ch. 5 - 8,10
P-10    
26  14  Weak solution CFD process,  benchmark, validation analyses, conclusions  CLES.30-37
 (3) Ch. 11
   
27  16  Summary, weak form CFD algorithm for rational LES implementation  CFDLES.1-6
 (8)
P-11  
28  21  Course summary  SUM.1-24    L-7
29  23   Student assessment
Take-home final exam
     
30  30   Final Exam due, mounted at 4:00pm.      
 
ADD DEADLINE: JANUARY 16 DROP DEADLINE:  JANUARY 16
STUDY PERIOD: APRIL 24 FINAL EXAM: APRIL 30
 

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