ES 552w - Course Calendar

Text:		Optimal MODIFIED CONTINUOUS Galerkin CFD (2014)
References:	1.	Kolesnikov & Baker, J. Computational Physics (2001)
	2.	Baker et al, J. Computational Physics (2014)
	3.	Wilcox, Turbulence Modeling for CFD (2006)
	4.	Baker, Finite Elements - Computational Engineering Sciences (2012)
	5.	Williams & Baker, J. Numerical Heat Transfer, Part B. (1996)
	6.	Patankar, Numerical Heat Transfer and Fluid Flow (1980)
	7.	Advances in Numerical Heat Transfer (1997, Ch. 1, B. Leonard)
	8.	Proceedings III Int. Conference Hydroscience & Engineering (1998, Baker, et al,)
	9.	Baker, Finite Element Computational Fluid Mechanics (1983)
	10.	Sahu & Baker, J. Numerical Methods Fluids (2007)

class	date	topics	Courseware	Prob	Due	Text	Ref.

1	JAN 8	Schedule, course reqmnts, web site tour; CFD, closure models; weak forms, computing, error	CFD.1-8			1
2	13	CFD issues, WS^N, closure options, stability, Fourier analysis, mGWS^h, engineering practice issues, VBV	CFD.9-19	P-1		3.3, 3.8, 5.1_5.7
3	15	Weak forms, solutions, Sturm-Louiville eqn, eigenfunctions, eigenvalues, orthogonality, completeness	CTM.1-10	P-2		2.1_2.5
4	20	Variational-WS^N duality, extrema, quadratic forms, GWS^N optimality, linear algebra	CTM.11-17	P-3	P-1	2.6_2.13
5	22	Weak form process for DE, GWS^N ==> GWS^h+TS for DE + BCs, template, examples	CD.1-.9			2.9, 5.7_5.9	4 Ch 9
6	27	GWS^N ==> GWS^h, elliptic PDEs, accuracy/convergence, norms, error estimation, meshing	TAC.1-9		P-2	3.2_3.10
7	29	Aerodynamics, weak interaction, boundary layer, laminar, thermal, GWS^h + TS, Newton template	PNS.1-9	P-4		3.1_3.2, 3.11_3.13 4.1_4.4
8	FEB 3	Laminar BL, FVS^h, alteration, accuracy/convergence, GWS^h opmality; time averaged (RaNS) turbulent BL, MLT closure	PNS.10-16		P-3	4.5_4.7	3
9	5	RaNS BL, MLT closure accuracy/convergence, GWS^h + TS optimal; TKE closure, GWS^h + TS {FQ}, BCs. low Re^t mod, BL similarity theory,	PNS.17-23	P-5		4.7_4.9	3
10	10	Turbulent BL, TKE, quasi-Newton [JQQ], validation; PNS theory completion, Re^t prdered closure, pressure, validations	PNS.24-33		P-4	4.10_4.15
11	12	Incompressible N-S, pressure, PDE forms, BCs, well-posedness; streamfunction-vorticity, BCs, GWS^h+ TS, {FQ}, Newton [JQQ] templates	INS.1-2 SVNS.1-6	P-6		5.1_5.3 6.1_6.3
12	17	streamfunction-vorticity, velocity, pressure recovery, GWS^h+ TS; driven cavity,	SVNS.7-10			6.4
13	19	Convergence, stability, solution adaptive mesh, GWS^h optimality; dispersion error, mGWS^h, monotonicity	SVNS.11-16			6.4
14	24	GWS^h, mGWS^h, benchmark problems, duct flow, thermal cavity, optimal mesh theory validation	SVNS.17-23		P-5	6.4_6.7
15	26	Classic state variable INS, TS operations, pressure projection (PPNS) theory, DM^h error, PPNS PDE + BCs system	INS.3-4 PPNS.1-7	P-7		5.1_5.4
16	MAR 3	PPNS, laminar INS PDE + BCs system, GWS^h + TS, {FQ], iteration strategies, [JQQ] options	PPNS.7-14			7.3_7.4, AppB.7
17	5	PPNS, GWS^h + TS, {FQ} + [JQQ] template essence, iteration performance; mGWS^h + TS, optimal mesh assessment, stability, dispersion error,	PPNS.15-20			5.7.5.10, 7.3_7.6
18	10	PPNS, mGWS^h + TS, dissipation, 3D steady validation, TKE closure, BCs, non-D mPDE system	PPNS.21-29		P-6	7.6_7.8, 8.1_8.2	2
19	12	PPNS, turbulent flows, mGWS^h + TS, quasi-Newton template, phi, sumphi, pressure, benchmarks, Summary	PPNS.29-35			7.8, 8.3_8.6, 8.11	2
	17	SPRING BREAK	Catch Up
	19	SPRING BREAK	Catch Up
20	24	FVS^h NS DM^h enforcement, SIMPLE, SIMPLER, SIMPLEC, PISO iteration strategies	FVNS.1-7		P-7		5, 6
21	26	FVS^h, algebraic instability, convective flux differencing, numerical diffusion order, characterization via GWS^h/mGWS^h + TS theory	FVNS.8-13			5.5_5.8	7
22	31	Free surface turbulent unsteady 3D INS, well-posed BCs via PPNS; depth-averaged 2D, non-D, GWS^h + TS algorithm	FSNS.1-8	P-8			8, 9.(5.15)
23	APR 2	FSNS, hyperbolic depth-averaged, critical Fr, hydrauic jump; stability,mGWS^h + TS theory, verification	FSNS.9-14				8, 9.(5.16_18)
24	7	FSNS, TKE turbulent depth-averaged, mGWS^h + TS, applications, unsteady tidal flow, summary	FSNS.15-22				8
25	9	Computational spectral theory, role of Re/Ret in NS PDE systems; convection-diffusion, GWS^h, FVS^h formulations, difference-differential equation, TS theory "order of accuracy"	CST.1-7	P-9		5.5_5.6
26	14	Fourier modal analysis, amplification factor, phase velocity, GWS^h, FVS^h algorithms, mGWS^h + TS optimalilty, comparisons	CST.8-15		P-8	5.7	10
27	16	mGWS^h + TS, placeholder for Petrov-Galerkin, Least Squares; phase velocity - artificial diffusion spectral distribution, theory optimal verification	CST.16-24			5.8	10
28	21	NS n-D mGWS^h + TS theory, unsteady k = 1,2,3 basis optimal gamma, k = 1 basis "beta" optimal replacement h²Re/12, asymptotic super convergence, verifications, RaNS validation (ref. 2)	CST.25-32			5.9_5.11	1, 2
29	23	Summary, student assessment, Final exam (take-home)	S.1-12		P-9
30	30	Final exam due, mounted online by 4:00pm.

ADD DEADLINE: JANUARY 16	DROP DEADLINE: JANUARY 16
STUDY PERIOD: APR 24	FINAL EXAM: APRIL 30
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