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2.097/6.339/16.920  Numerical Methods for Partial Differential Equations

Fall 2009

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Simulation of the flow about a flapping wing at low Reynolds number using the 3DG code. The picture shows isosurfaces of entropy colored according to the Mach number.

Instructors: Anthony T Patera, Jaime Peraire, Jacob K White, Karen E Willcox

TA: Emily Renee Israeli

Lecture:  MW8-9.30  (1-390)        

Information: 

A presentation of the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Topics include: mathematical formulations, finite difference and finite volume discretizations, finite element discretizations, boundary element discretizations, direct and iterative solution methods.

Announcements

Project 4 is graded

If you want to pick up your project 4, then come by my office.

The average is 88.6 and std is 11. I will try to get the grades posted on stellar by tomorrow.

Good job everyone and enjoy your winter break!

Emily

Announced on 14 December 2009  2:17  p.m. by Emily Renee Israeli

Project 3 Part 2 graded

I finished grading Project 3 Part 2. Everyone's grades are up on the website (both part 1 and part 2). This part was out of 40.

Part 1:
average: 52.75/60 (88%)
std: 7/60

Part 2:
average: 35/40 (88%)
std: 5/40

Project 3 average: 88% and std: 11

You can come pick up your Project 3 Part 2 reports at my office 37-442.

I will try to have Project 4 graded by Monday.

Emily

Announced on 10 December 2009  8:16  p.m. by Emily Renee Israeli

Project 4 Problem 6 Velocity Computation

So there have been a lot of questions about the velocity computations in question 6 parts d and e.

For part e, you need to account for the jump in the normal derivative when computing the velocity profile of the wing. You can think of this as -2*pi*sigma*normal...make sure you take this contribution only in the normal when subtracting it from the velocity i.e. v=[v_x,v_y,v_z]. Hint: for part d, this term can be excluded but must be taken into account for part e.

Hope this helps.
Emily

Announced on 07 December 2009  6:52  p.m. by Emily Renee Israeli

Project 4 Problem 6 use the fine sphere: sphere.qif

I uploaded coarser spheres BUT they don't seem to be working correctly for the Neumann problem. Please use the original fine sphere uploaded. Make sure your results work with this sphere and do not rely on the coarser ones.

My apologies,
Emily

Announced on 02 December 2009  7:35  p.m. by Emily Renee Israeli

Project 4 Office Hours with rooms

I'm moving today's office hours to tomorrow. So the office hours for this project are

Thu, Dec 3, 4-6pm 5-233
Fri, Dec 4, 3-5pm 5-231
Mon, Dec 7, 3-6pm 1-242

Emily

Announced on 02 December 2009  9:56  a.m. by Emily Renee Israeli

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