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| Texts: | (1) Turbulence Modeling for CFD, 3rd edition (Wilcox, 2006) |
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| (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 |
|---|---|---|---|---|---|---|---|
| 1 | JAN 8 | Schedule, course requirements, turbulent flow characterization |
TFD.1-10 (1) Ch. 1 |
P-1 | L-1 | ||
| 2 | 13  | CFD WS tutorial, GWSh+TS, TWSh, stability, spectral concepts |
CFD.1-8 CST.1-3 |
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| 3 | 15  | CFD spectral theory, stability, dissipation |
CST.4-17 (5) 5.5 - 5.7 |
P-1 | L-1 | ||
| 4 | 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 | |||
| 5 | 22 | Turbulent BL, TKE closure, GWSh, {FQ}, quasi-Newton [JAC], convergence, Re stress models |
PNS.9-19 (5) 4.9 - 4.14 |
L-2 | |||
| 6 | 27 | Unsteady INS, pressure projection, Newton, phi, sumphi, pressure, TWSh, stability, dissipation |
PPNS.1-10 (5) 5.1 - 5.4 |
P-3 | P-2 | ||
| 7 | 29 | Unsteady RaNS, time-averaging, k-eps, wall functions, quasi-Newton, Re stress, TWSh, stability, flux vectors |
PPNS.10-19 (6) |
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| 8 | FEB 3 | Turbulence flow characterization, RaNS, correlations, far-field similarity |
TFC.1-8 (1) Ch. 1, 2 |
P-4 | L-3 | L-2 | |
| 9 | 5 | 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 | 5 | 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 |
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| 23 | APR 2 | Computational LES implementation, errors, notation, spaces, norms |
CLES.7-13 (3) Ch. 2, 3 |
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| 24 | 7 | Closure for filtered stress via Gaussian filter approximations |
CLES.14-20 (3) Ch. 4 |
P-11 | L-7 | ||
| 25 | 9 | 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 |
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| 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 |
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| 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 |