This page is evolving. In particular, there are links to sample codes at the bottom of the page.

The purpose of this course is to introduce modern, high-order methods for solving the Euler and Navier-Stokes equations. There is no required text for the course. We will be reading papers and making use of some notes available on the web.

• Advection using Upwind differencing

• Comparison of Upwind, Lax-Wendroff, and Non-conservative Upwind, calculation on the Riemann problem for the inviscid Burgers' Equation

• Some code Fortran and a start at c (from netlib's f2c translator), to solve Burgers' Equation via a first order Godunov method. The file indata provides data to the code. Get the code to run, and see what happens for different Riemann data. In particular, try ul and ur of opposite signs, once with different magnitudes, once with the same magnitude. Whats going on in the solver?