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In Reply to: Re: OK so what was posted by John Sheerin on January 28, 2006 at 06:45:04:
With waveguide theory the wave equations in waveguides and the sound radiation can all be done analytically, which has a major advantage over FEA or BEM. With both methode to go to very high wavenumbers requires a very large number of elements and matrix sizes. Even if this is doable, the results get unstable due to round-off errors in the matrix crunching.With the analytic approach you can go much higher in wavenumber than with any numerical approach.
So the tradeoff is an accurate solution of an approximation geometry or an inaccurate solution of an exact geometry. I prefer the former. And the analytic approach is reversable, and global (in the sense that once solved all frequencies are known) and the numerical approaches are not.
These have all led me over the last couple of decades away from numerical methods to the analytic approach. It was not until I found an analytic approach that I really came to understand waves in conduits (horns, waveguides). You don't get that insight from numerical approachs.
I would bet that one could never understand horns and waveguides until they understood the analytical solutions.
Earl Geddes
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- One more thing - EGeddes 01/28/0607:19:58 01/28/06 (0)
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