• About our Instructor: Dr. Prof. Elbridge Gerry Puckett
  • Email: egp@math.ucdavis.edu
  • Homepage:http://www.math.ucdavis.edu/~egp/
  • Office hour:@Kerr 686
    
    • Monday 1:00-1:30pm
      
    • Wednesday 1:00-2:00pm
    • by appointment
• Course Information
  • CRN/Title: 69304 / Numerical Solution of Differential Equations
  • Course time/place: MWF 12:10-1:00pm @Wellman 125
  • Discussion section: Tuesday 12:10-1:00pm @Kerr 451/Wellman 125
• References for final project(6.9)
  • J. B. Bell and P. Colella and H. M. GlazA Second-Order Projection Method for the Incompressible Navier-Stokes EquationsJ. Comput. Phys. 1989,Vol 85,pp 257-283There are several test problems in there, both for Euler and Navier-Stokes. The paper includes tables containing convergence rates, which you can use to check the correctness of your code.
  • There is also a paper in J. Comput. Phys. by Mike Minion which contains an exact solution to Navier-Stokes, against which you can test your code. But I'm not sure that I know which paper it is, right now. If you come by my office after class today, I can look for it in my files and show you.
  • An alternative would be for you to look at these three papers by Mike Minion, all of which contain valuable information about Second-Order Projection Method for the Incompressible Navier-Stokes Equations:
    • Minion, ML; Brown, DL. Performance of under-resolved two-dimensional incompressible flow simulations, II. JOURNAL OF COMPUTATIONAL PHYSICS, 1997 DEC, V138 N2:734-765.
    • MINION ML. A PROJECTION METHOD FOR LOCALLY REFINED GRIDS. JOURNAL OF COMPUTATIONAL PHYSICS, 1996 AUG, V127 N1:158-178.
    • MINION ML. ON THE STABILITY OF GODUNOV-PROJECTION METHODS FOR INCOMPRESSIBLE FLOW. JOURNAL OF COMPUTATIONAL PHYSICS, 1996 FEB, V123 N2:435-449.
    • BROWN DL; MINION ML. PERFORMANCE OF UNDER-RESOLVED TWO-DIMENSIONAL INCOMPRESSIBLE FLOW SIMULATIONS. JOURNAL OF COMPUTATIONAL PHYSICS, 1995 NOV, V122 N1:165-183.

Some references

• "High-resolution conservative algorithms for advection in incompressible flow"(Randall J. LeVeque)(5.4)
• R. J. LeVeque: "High-resolution conservative algorithms for advection in incompressible flow": SIAM Journal on Numerical Analysis Vol. 33,1996,pp 627-665 (5.4)
• R. J. LeVeque: "Wave propagation algorithms for multi-dimensional hyperbolic systems": J. Comput. Phys. Vol. 131,1997,pp 327-353 (5.4)

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• Computing Assigments
  • Home Work 1 (Due:Apr 26,99)
  • Home Work 2 (Due:May 03,99)
  • Home Work 3 (Due:May 24,99)
  • Home Work 4 (Due:Jun 21,99)
• Theory Assignments

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• Download Notes
  • README
  • Title_Page.ps OR Title_Page.ps.gz
  • Table_of_Contents.ps OR Table_of_Contents.ps.gz
  • Chapter_1.ps OR Chapter_1.ps.gz
  • Chapter_2.ps OR Chapter_2.ps.gz
  • Chapter_3.ps OR Chapter_3.ps.gz
  • Chapter_4.ps OR Chapter_4.ps.gz
  • Chapters_5_and_6.ps OR Chapters_5_and_6.ps.gz
  • Chapter_7.ps OR Chapter_7.ps.gz
  • Chapter_8.ps OR Chapter_8.ps.gz
  • References.ps OR References.ps.gz

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Questions or suggestions? Please send me email:jwlong@math.ucdavis.edu

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Wenlong Jin
Initial constructed:1999-04-09
Last Modified:1999-05-04