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Text: | Optimal MODIFIED CONTINUOUS Galerkin CFD, (2014) | |
References: | 1. | Wilcox, Turbulence Modeling for CFD, (2006) |
2. | Pope, Turbulent Flows, (2000) | |
3. | John, Large Eddy Simulation of Turbulent Incompressible Flows, 2004) | |
4. | Cebeci & Smith, Analysis of Turbulent Boundary Layers, (1974) | |
5. | Sekachev et al, J. Computational Physics, (2014) | |
6. | Tannehill, Anderson & Pletcher,Computational Fluid Mechanics and Heat Transfer , (1997) |
TFD.
TURBULENT FLUID DYNAMICS:
introduction, the physics of turbulence |
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CFD. COMPUTATIONAL FLUID DYNAMICS:
advanced level topical CFD tutorial |
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CST. COMPUTATIONAL SPECTRAL THEORY:
CFD algorithm error mechanisms, spectral tutorial |
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PNS. STEADY PARABOLIC NAVIER-STOKES:
incompressible unidirectional flow, RaNS turbulence closure modeling |
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PPNS. PRESSURE PROJECTION UNSTEADY NAVIER-STOKES:
time-accurate unsteady incompressible weak form CFD algorithm |
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TFC.
TURBULENCE FARFIELD CHARACTERISTICS:
Similarity solutions, MLT closure, issues with farfield unidirectional flows |
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RaNS.
TIME AVERAGED NS CLOSURE:
single- and two-equation closure models, nearfield/farfield characterization |
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CNS.
COMPRESSIBLE NAVIER_STOKES:
Favre-averaged NS, PDE closure issues, law of the wall |
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ASM.
ADVANCED TOPICS IN REYNOLDS STRESS CLOSURE:
linear, non-linear, algebraic and PDE transport Ret closure models |
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BRaNS.
BEYOND REYNOLDS AVERAGED NAVIER STOKES:
DNS, space filtering, LES, BCs, DES |
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MMFD.
MATHEMATICS & MECHANICS OF CHAOTIC FLUID DYNAMICS:
statistical description of turbulence, random processes, fields |
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LES. LARGE EDDY SIMULATION:
space filtered NS, convolution, tensor quadruple, spectral descriptions, closure models |
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CLES. LES THEORY COMPLETIONS:
weak forms, error mechanisms, theory approximations, algorithms |
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CFDLES. RATIONAL LES (RLES)
THEORY REPRISE
RLES theory unresolved issues, auxiliary problem BCs, subfilter scale tensor/vector dissipation |
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AUX1. LES ANALYTICAL CLOSURE (arLES) THEORY
RLES + mPDE theory union, tensor/vector quadruple analytical closure, perturbation theory ordered state variable, mGWSh + TS algorithm, laminar Re validation, mesh adequacy diagnostics |
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AUX2. arLES THEORY WELL-POSED ON BOUNDED DOMAINS
BCE integrals, distribution sense extensions, Dirichlet BCs resolution, AD-GWSh-DBC algorithm, theory measure constraint, laminar-turbulent transition validation, diagnostics |
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SUM. SUMMARY:
at the time (2006) course summary |