# ICASE/LaRC workshop on benchmark problems in computational aeroacoustics, category 1, problem 2

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 Revision as of 22:11, 11 February 2007 (view source)Harishg (Talk | contribs)← Older edit Latest revision as of 21:07, 18 February 2007 (view source)Jola (Talk | contribs) (4 intermediate revisions not shown) Line 5: Line 5: - Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [5,450].The boundary condition at r=5 is u(5,t)= sin(:$\omega$ t ).Perform computation for + Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [5,450].The boundary condition at r=5 is u(5,t)= sin($\omega$ t ).Perform computation for - a) :$\omega =\frac{\pi}{4}$ + a) $\omega =\frac{\pi}{4}$ - b) :$\omega =\frac{\pi}{3}$ + b) $\omega =\frac{\pi}{3}$ == Exact Solution == == Exact Solution == - :$u(x,0)=0.5 e^{-(ln 2) (\frac{x -t }{3}) ^2 }$ + == Comparison == == Comparison ==

## Latest revision as of 21:07, 18 February 2007

Solve the initial value problem

$\frac{\partial u}{\partial t} +\frac{u}{r} +\frac {\partial u}{\partial r} =0$
$u(x,0)=0$

Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [5,450].The boundary condition at r=5 is u(5,t)= sin($\omega$ t ).Perform computation for a) $\omega =\frac{\pi}{4}$ b) $\omega =\frac{\pi}{3}$