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Rits December 16, 2005 14:37

2-D linear hyperbolic system
 
I am looking for a test example of 2-D hyperbolic linear systems of conservation laws in order to impliment some numerical scheme on it. I am having mathematical background, and I couldn't get any test problem in which initial and boundary conditions is given. I simply know that such system arises in aero-acoustics. Can somebody suggest a problem/reference/book where I can have such test example. It will be a great help.

regards Ritesh

Harish December 16, 2005 15:37

Re: 2-D linear hyperbolic system
 
http://www.amath.washington.edu/~claw/

Rits December 17, 2005 12:29

Re: 2-D linear hyperbolic system
 
Thanks Harish for the link. But I am afraid as it won't work for me, coz I want to prepare my own C-code for some test problem. Though I have downloaded and install the clawpack, but the problem is that most of its file are either in matlab or in f-77, and I could not be able to compile it. Also the exact problem, I mean the equation and other initial and boundary conditions are not explicitely disscussed, I mean most of the graphs and results are given without discussing mathematically the actual problem. I m not an engineer and I can't understand the problem just by reading the name of the problem e.g. if the graph of two rotating vortex motion is given, I can't figure out what were the system of equations, initial and boundary conditions which have been used. I need the linear system of equations and physically relevent initial and boundary conditions for it. Can you help me regarding it.

Praveen. C December 18, 2005 21:57

Re: 2-D linear hyperbolic system
 
See the wiki

http://www.cfd-online.com/Wiki/2-D_l...Euler_equation http://www.cfd-online.com/Wiki/Circular_advection

Rits December 18, 2005 23:56

Re: 2-D linear hyperbolic system
 
Thanks praveen. I have looked into the reference given. I think, it will solve my purpose.


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