Course Calendar Problems Home Problems
Courseware Video  
     
 
  Problem Experience (PE) sets are transmitted as PDF file email attachments. Preparation instructions will be provided.

The PE archive containing select completed PEs is opened one class day following due date.

PEs are taken from the text unless noted by reference in a parenthesis. PE assignments submitted after archive opening will not accepted.

 		 
 
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)
 
 
    Due
Class
1.1    Solve the steady viscous laminar-thermal incompressible non-D Navier-Stokes PDE system for 2-D fully developed thermal flow between horizontal parallel plates.   Assume the fluid is water with BCs no-slip walls and plate fixed uniform temperatures T1 and T2 > T1.  Assume the viscous dissipation term in DE is negligible, then evaluate its magnitude using your computed NS solution.
1.2   (1) 1.3, 1.4, 1.6, 1.12, 1.15 3
     
 
2.0    For steady BL/PNS RaNS GWSh + TS algorithms  
2.1   4.9.1 - 4.9.4  
2.2   4.10.1 - 4.10.4  
2.3   4.12.1, 4.12.3
     
 
3.0   For pressure projection NS modified mPDE theory  
3.1   5.4.1 - 5.4.3  
3.2   5.2.4, 5.6.2 - 5.6.9
3.3   5.7.1 - 5.7.3, 5.8.1 9
     
 
4.0   For algebraic BL/PNS closure models  
4.1   (1) 2.1, 2.7, 2.9  
4.2   (1) 3.9, 3.10, 3.11
4.3   4.10.1, 4.10.2 11
     
 
5.0   For one/two PDE BL/PNS closure models  
5.1   (1) 4.3, 4.4, 4.20  
5.2   4.11.1
5.3   8.2.1, 8.3.1 13
     
 
6.0   Compressible RaNS closure models  
6.1   B.2.1 - B.2.3  
6.2   (1) 5.1, 5.3, 5.7, 5.8 15
     
 
7.0   Reynolds stress tensor closure models  
7.1   4.10.3, 4.10.4  
7.2   8.7.1, 8.7.2
7.3   (1) 6.2, 6.3 13
     
 
8.0   Beyond time averaged RaNS, DNS, LES, DES  
8.1   (1) 8.5 19
     
 
9.0   Mathematics, statistics, invariance, mean equations  
9.1   (2) 2.8, 2.9, 2.10  
9.2   (2) 3.1, 3.2, 3.9, 3.36, 3.37
9.3   (2) 4.3 21
     
 
10.0   Space filtered NS, large eddy simulation (LES)  
10.1   (2) 13.1, 13.2  
10.2   (2) 13.19
10.3   (2) 13.28, 13.30 25
     
 
11.0   Rational LES, rigorous closure options, limitations  
11.1   (2) 13.1, 13.2  
11.2   (2) 13.19, 13.28
11.3   9.4.1 - 9.4.4
11.4   9.4.5 - 9.4.8 27
     
 
TOP