Instructor Courseware Communication Course Calendar
Course Calendar aPSE Registration
Problems Video Technical Help
Lab Assignments Grades MAES Page
 
Reference No:    (1) - Courseware
    (2) - The Computational Fluid-Thermal Sciences (2009, AJB manuscript)
    (3) - Fluid Dynamics Handbook (1998, Ch. 28, AJB)
    (4) - The Computational Engineering Sciences (2006, AJB )
    (5) - Williams & Baker, Int. Journal Numerical Heat Transfer, Part B (1996) 
    (6) - S. Patankar, Numerical Heat Transfer and Fluid Flow (1980)
    (7) - B. Leonard, Ch. 1 in Advances in Numerical Heat Transfer (1997)
  (8) - Baker, et al, Proceedings III International Conference Hydroscience and Engineering (1998)
  (9) - Sahu & Baker, Int. J. Numerical Methods Fluids (2007)
  (10) - Kolesnikov & Baker, J. Computational Physics (2001)
 
class date topics reference prob due lab due
 
1  JAN  8  Schedule, course rqmnt's, web site tour; CFD, closure models; weak forms, computing, error  (1) CFD.1-8   L-1  
2  13  CFD issues, WSN, closure options, stability, Fourier analysis, TWSh, engineering practice issues  (1) CFD.9-19 P-1       
3  15  Weak forms, solutions, Sturm-Louiville eqn, eigenfunctions, eigenvalues, orthogonality, completeness  (1) CTM.1-10
 (2) 2.1-2.5 		P-2   L-1 
4  20  Variational-WSN duality, extrema, quadratic forms, GWSN optimality, linear algebra  (1) CTM.11-17
 (2) 2.6-2.11 		P-3 P-1    
5  22  Weak form process for DE, GWSN ==> GWSh+TS for DE + BCs, template, examples  (1) CD.1-.9
 (4) Ch. CD.1
 (4) Ch. CD.n 		      L-2  
6  27  GWSN ==> GWSh, elliptic PDEs, accuracy/convergence, norms, error estimation, meshing  (1) TAC.1-9
 (2) 3.4 - 3.6 		   P-2  
7  29  Aerodynamics, weak interaction, boundary layer, laminar, thermal, GWSh+TS, Newton template  (1) PNS.1-9
 (2) 3.1 - 3.3
 (2) 4.1 - 4.4 		P-4    
8  FEB 3  Laminar BL, FVSh, template, accuracy/convergence; turb. BL, MLT closure  (1) PNS.10-16
 (2) 4.5 - 4.6 		P-3 L-3 L-2
9  5  Turbulent BL, MLT GWSh, a/c, validation, turb. BL, k-eps, low Ret model, BL similarity, GWSh, {FQ}  (1) PNS.17-23
 (2) 4.7 - 4.9 		P-5    
10  10  Turbulent BL, k-eps, quasi-Newton [JQQ], validation, PNS completion, Reynolds stress models  (1) PNS.24-33
 (2) 4.10 - 4.14 		  P-4    
11  12  Incompressible Navier Stokes, forms, BCs, well-posedness; streamfunction-vorticity, BCs, GWSh {FQ}, Newton [JQQ]  (1) INS.1-2
 (1) SVNS.1-6
 (2) 5.1-5.3
 (4) CMn.6 - .8 		P-6 L-4 L-3
12  17  velocity, pressure recovery, GWS templates; driven cavity, accuracy  (1) SVNS.7-10 
 (4) CM1.6 		   
13  19  Convergence, stability, TWS, numerical diffusion, monotonicity, solution adaptive mesh,  (1) SVNS.11-16 
  		   
14  24   GWS, TWS, benchmarks, natural convection, non-D issues, thermal cavity, best mesh solution  (1) SVNS.17-23
  		  P-5  L-5  
15  26  Pressure projection INS, TS operations, DM approximation error, PPNS PDE + BC system  (1) INS.3-4
 (1) PPNS.1-7
 (2) 5.4
 (5)   		 P-7 L-4
16  MAR 3  PPNS, laminar PDE + BC system, GWSh + TS, {FQ], iteration strategies, various [JQQ]  (1) PPNS.7-14
 (3) 6.2 D 		     
17  5  PPNS, GWSh + TS, {FQ} + [JQQ] template essence, performance, best mesh solutions, stability, TWSh  (1) PPNS.15-20
 (3) 6.3 E 		  L-6  
18  10  PPNS, TWSh,unsteady flow, dissipation, 3D steady validation, TKE closure, BCs, non-D form  (1) PPNS.21-29
 (3) 6.3 E 		  P-6    
19  12  PPNS, turbulent flows, TWSh + TS, quasi-Newton template, phi, sumphi, pressure, benchmarks, summary  (1) PPNS.29-35
 (3) 6.3 F 		    L-5
  17  SPRING BREAK  Catch Up        
  19  SPRING BREAK  Catch Up        
20  24  FVSh for PPNS, formulations, SIMPLE, SIMPLER, PISO iteration strategies  (1) FVNS.1-7
 (6) 		  P-7 L-7  
21  26  FVSh for PPNS, numerical dissipation, options, issues, comparisons, summary  (1) FVNS.8-13
 (7) 		      L-6
22  31  Free surface INS, hydrostatic unsteady 3D, depth-averaged, PDEs + BCs, non-D, GWSh+TS  (1) FSNS.1-8
 (4) 5.15
 (8) 		P-8       
23  APR 2  FSNS, depth-averaged, PDE + BCs, stability TWSh+TS, template, verification  (1) FSNS.9-14
 (4) 5.17 - 5.18 		       
24  7  Turbulent FSNS, TWSh + TS, template, depth-averaged, free surface, applications, unsteady tidal flows, summary  (1) FSNS.15-22
 (8) 		    L-7
25  9  Unsteady convection/diffusion, WSh theory, role of Re, GWSh, TWSh+TS, difference/differential equations  (1) CST.1-7
 (4) 4.7-4.8 		P-9    
26  14  Fourier modal analysis, basic math, amplification factor, phase velocity, GWSh, FVSh, TWSh+TS complete, comparisons   (1) CST.8-15
 (3) Ch.5
 (4) 4.8
 (9)Sahu & Baker 		P-8    
27  16  TWSh+TS, Raymond-Garder, Fourier solutions. Generalization to 1<=k<=3 FE bases, phase velocity, diffusion spectral distributions, templates, traveling wave, rotating cone  (1) CST.16-24
 (3) Ch.5
 (4) 4.11
 (9)Sahu & Baker 		  L-8
28  21  TWSh for steady-state INS, optimal beta, asymptotic super-convergence, Peclet problem, INS  (1) CST.25-32
 (10) Kolesnikov & Baker 		 
29  23 

Summary, student assessment,     Final exam (take-home)

 (1) S.1-12   P-9   L-8 
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 
 

TOP

  >