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Assignments are noted on the
ES 645w schedule. Computer labs employ various codes and are to be completed by the class indicated. Prepare your reports using the provided templates. Objectives should be "bulletized" based on the lab description. The Problem Statement section should be brief but completely specify the key technical issues. The Discussion section must include tabular data and plots as appropriate. The Summary must respond one to one with the bulleted lab objectives.
Archived lab reports are not yet available at Archived Labs Student reports can be accessed at Student Labs Notify instructor of lab report completion by e-mail. |
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| 1. |
Briefly describe a turbulent Navier-Stokes problem
statement of your specific interest. Detail the pertinent conservation law
PDE system and its associated non-D groups, BCs and closure model. State what you know about the key technical issues sought in the system solution. Mount your report in your ES
645w lab report public_html folder and email the instructor of this action. Due at class 3. |
| 2. |
A. For 2D turbulent boundary layer flow, verify
the aPSE 2DBL GWSh template for the MLT turbulence closure model. Execute the code
for the given MLT model file data, taken from the Bradshaw non-equilibrium relaxing flow validation test data set included in the Stanford 1968 Validation
Symposium. Graph the resultant state variable member solutions in BL format. |
| 3. |
Access the aPSE 2DBL GWSh algorithm
template for the k-omega closure model, eqn.
(4.228) - (4.231) in reference 1, located under menu as Lab 3. Design a GWSh algorithm for the chi-subk component of
the k-omega model, eqn. (4.41). Using this as guidance, generate the GWSh algorithm hence template, for the chi-subomega closure functions, eqn.
(4.41). Insert these algorithm statements into the Lab 2 GWSh algorithm template including
the jacobians but do not execute. Document your results in the report and mount it.
Due at class 14. |
| 4. |
Verify the mGWSh INS
pressure projection algorithm template for laminar/turbulent flow accessible under menu as Lab 4. Execute the 2-D laminar entrance duct flow test case for Re = 1000 and beta = zero.
Observe the interplay between phi, sumphi, and pressure distributions in conserving mass flow. Then reexecute the Re = 1000 case for some 0 < beta < 0.4. Compare the results distinctions regarding dispersion error distributions, and their influence on phi and sumphi. Prepare and mount your report
Due at class 17. |
| 5. |
Verify the mGWSh INS
pressure projection algorithm template for turbulent flow (with k-eps closure) with computation of the various algorithm dissipative component flux vectors. Execute the 2-D turbulent entrance duct flow test case using the k-epsilon closure model with wall functions BCs.
Observe the interplay between
phi, sumphi, and pressure, and adherence to the constraints on y+ for the
log-law BC. Compare the physical and numerical diffusion flux vector distributions at steady-state. Complete and mount your report.
Due at class 19. |
| 6. |
Set-up and execute the EDDYBL
computer exercise detailed in (1), Appendix C.4 or C.5, your choice.
Due at class 20. |
| 7. |
The rational LES theory of John and co-workers generates analytical closure for the first three LES-theory tensors. Research in CFD Lab since the dissertation of Grubert (2006) has implemented this theory as a weak formulation in aPSE. Access the aPSE file under menu as Lab 7, and verify the template statements for the mGWSh algorithm written in flux vector form.
a) Execute a restart of the Lab 7a file and integrate the solution one time step forward. This will generate the graphics file for algorithm state variables plus the numerous kinetic and dissipative flux vectors for the subcritical Ra = E=05 case which generates a steady state solution. b) Execute a restart of the Lab 7b file, which has the
supercritical Ra = E=06 specification, and run for 200 time steps. Observe the unsteady flow dynamics in state variable and flux vector distributions using the movie function in
Tecplot. Prepare and mount the report of these results.
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