[ngrube]

Hello,

I am puzzled by the failure of a well debugged and validated WENO finite difference code in the case of a traveling acoustic wave propagating over a long distance. I expected the originally sinusoidal wave to steepen into a sawtooth or N-wave pattern. What I see instead is the development of shocks (where they should be) plus somewhat weaker but still significant shocks approximately halfway in between, so I get twice as many shocks as I should.

I might faintly recall seeing a discussion in a journal article about the inability of WENO to handle this case. Or maybe I just dreamed that. I have been searching with all the keywords I can think of and can find nothing. Any help would be appreciated.

Thanks,
Nathan