# do me a favour

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 February 11, 2002, 11:31 do me a favour #1 bjcz Guest   Posts: n/a Hi, Friends, who know the expression of exact/analytical solution of the following problem? (or in which book and paper i can find the formula?) this is a acoustic/aeroacoustic problem: ======================== in uniform flow with Mach number of 0.5, a two-dimensional pressure pulse is introduced somewhere in the mean flow, and then the pulse propagates in the mean flow the pulse is as follows P = A*Exp{ (-ln(2)/a**2)*[(x-x0)**2 +(y-y0)**2] } where P represents pressure. A is amplitude of the pulse. a is a constant. (x0,y0) is the position of the introduced pressure pulse. what is the analytical solution of propagation of the pulse? ====================== this problem's analytical solution must exist.It seems that it is a simple problem because some people compare their computational results with the analytical solution. unfortunately, i don't know that. looking forward to reply at your earliest convenience. thanks in advance

 February 12, 2002, 02:35 Re: do me a favour #2 Markus Lummer Guest   Posts: n/a Have a look at: Tam, C.K.W.; Webb, J.C. : "Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics.", J. Comp. Phy. 107, 262-281 (1993) Perhaps you will find what you want on pages 280-281. Hope this helps Markus

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