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

(Difference between revisions)
 Revision as of 22:07, 11 February 2007 (view source)Harishg (Talk | contribs)← Older edit Latest revision as of 21:06, 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. + Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [-20,450] == Exact Solution == == Exact Solution == - :$u(x,0)=0.5 e^{-(ln 2) (\frac{x -t }{3}) ^2 }$ + + :$u(x,0)=0.5 e^{-(ln 2) (\frac{x -t }{3}) ^2 }$ == Comparison == == Comparison ==

## Latest revision as of 21:06, 18 February 2007

Solve the initial value problem

$\frac{\partial u}{\partial t} +\frac {\partial u}{\partial x} =0$
$u(x,0)=0.5 e^{-(ln 2) (\frac{x}{3}) ^2 }$

Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [-20,450]

## Exact Solution

$u(x,0)=0.5 e^{-(ln 2) (\frac{x -t }{3}) ^2 }$