CFD code for homework

Hugo

Hi,

I'm working on a university project and I really feel like this is my last resort... It's for my computational gasdynamic class, I don't even know where to start and have tried school libraries and all books are out and I spent several hour googling but to no avail.

So I am wondering if anyone knows how to do the following:

1) Using the programming environment of your choice, write a code to solve the linear advection equation du/dt + a du/dx = 0 numerically. Choose one 1rst order and one second order linear scheme (out of those covered in the course or any other one you fancy to try out) and incorporate them into your code. Problem to be simulated is the propagation of a disturbance specified at the initial mo- ment t = 0 as follows: u(x; 0) = 0:5+0:075x for 0 · x · 20 and u(x; 0) = 0:5 everywhere else. Assume that the wave speed a in the linear advection equation is equal to 2. We are interested in the solution at time moment t = 100.

2)

Using the programming environment of your choice, write a code to solve the one- dimensional Euler equations numerically. Your code should be capable of using the fol- lowing schemes: 1) The 1rst-order Godunov scheme (use the exact Riemann solver you have developed in the mini-project 1); 2) The Lax-Wendroff scheme; 3) Any 1rst order upwind scheme of your choice: Flux Vector Splitting, HLLC, Roe method etc.

Help on anything, even just to get started would be a tremendous help, I'd deeply appreciate it and wouldn't even know how to thank you.