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.

Did you attend the class? There are many books that give you step by step instructions on the solution of those problems. Just google for some of the keywords and you should even find free resources on the specific topics. I've done a similar homework recently and I don't believe that you were unable to find useful information...

C.B.Laney's Computational Gasdynamics book would be helpful for you. Its sample codes were also available on the web some time ago, but I'm not sure whether they are available now. You could also try Toro's and LeVeque's books.

Try looking for the Berger equation.

Assuming it is not just laziness, there are lots of resources for beginners (even online). The closest one is the Wiki of this site (http://www.cfd-online.com/Wiki/Main_Page).

Thanks to everyone who responded,

I picked up the LeVeque book at school today, I tried to get the other books recommended in the course pack and this thread. They are simple not available within 2 weeks either by ordering online or through my school's library due to the fact that our teacher recommended not buying them, now since apparently we should of gotten them the few examples available have been rented for several weeks.

My problem lies not in the theory (although my understanding of the theory is far from optimal), but rather how to transpose theory into a computer algorithm..

I'd like to add that in class we didn't cover numerical methods at all, but only dealt with theory for those suspecting my class attendance being the main issue.