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

(Difference between revisions)
 Revision as of 22:03, 11 February 2007 (view source)Harishg (Talk | contribs)← Older edit Latest revision as of 21:06, 18 February 2007 (view source)Jola (Talk | contribs) (7 intermediate revisions not shown) Line 2: Line 2: :$\frac{\partial u}{\partial t} +\frac {\partial u}{\partial x} =0$ :$\frac{\partial u}{\partial t} +\frac {\partial u}{\partial x} =0$ - Computer the Numerical solution at t=100,200,300 and 400. + :$u(x,0)=0.5 e^{-(ln 2) (\frac{x}{3}) ^2 }$ + + + Computer the Numerical solution at t=100,200,300 and 400.Use a domain of [-20,450] + + + == Exact Solution == + + :$u(x,0)=0.5 e^{-(ln 2) (\frac{x -t }{3}) ^2 }$ + + == 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

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