ISC 5935  Scientific Computing for Fluids  3 credits  Graded

This class introduces the mathematical theory, numerical methods,
and computational tools used to model fluid flow.  

The class will concentrate on finite difference methods.

A series of increasingly complex equations will be considered:
first in 1D, then in 2D: linear convection, nonlinear convection, 
diffusion, Burgers.  Thereafter, the 2D Laplace, Poisson, and 
Navier-Stokes equations will be studied, finishing with cavity and
channel flows under Navier-Stokes.

The CFL condition and the Lax equivalence theorem will be presented. 

A series of iPython notebooks are available which guide the student
through the construction of codes to solve each of the equations 
discussed in the course.

A set of video classes prepared by Lorena Barba of Boston University
will be used.

Advanced students may participate in parallel by presenting an
independent study plan focussing on an area of scientific computing
and fluids, on approval of the instructor.