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Search: Posts Made By: lost.identity
Forum: Main CFD Forum April 18, 2010, 12:39
Replies: 13
Views: 4,364
Posted By lost.identity
Exclamation Actually shouldn't it be ...

Actually shouldn't it be


\int_P^E\,r^2\frac{\partial}{\partial{r}}(\overline{\rho{u''}{u''}}) \,dr = \Delta{V} \left [\frac {\partial}{\partial{r}}(\overline{\rho{u''}{u''}}) \right ]_e=...
Forum: Main CFD Forum April 17, 2010, 17:06
Replies: 13
Views: 4,364
Posted By lost.identity
THanks Just want to confirm, you mean ...

THanks

Just want to confirm, you mean


\Delta{V} = r_P^2\Delta{r}



The site uses Latex formatting to type equations. If you click any of the equations you'd see the code.
Forum: Main CFD Forum April 16, 2010, 13:41
Replies: 13
Views: 4,364
Posted By lost.identity
Thanks, I think I sort of know what you're...

Thanks, I think I sort of know what you're saying.

Are you saying that when I multiply by r^2, and integrate then terms such as

...
Forum: Main CFD Forum April 16, 2010, 10:41
Replies: 13
Views: 4,364
Posted By lost.identity
Sorry I should've explained it a bit more clearly...

Sorry I should've explained it a bit more clearly

So I have the following 1-D Navier-Stokes equation written in spherical coordinates


\frac{\partial\overline\rho{\tilde{u}}}{\partial{t}}+...
Forum: Main CFD Forum April 16, 2010, 05:19
Replies: 13
Views: 4,364
Posted By lost.identity
r^2 is not a constant, it arises by writing the...

r^2 is not a constant, it arises by writing the Navier-Stokes equation in spherical form. r is one of the variable dimensions.

So when I'm integrating with respect to r, r^2 can't remain a...
Forum: Main CFD Forum April 15, 2010, 07:48
Replies: 13
Views: 4,364
Posted By lost.identity
Thanks for the reply. As I've already...

Thanks for the reply.

As I've already mentioned in my email, I've already tried that method. But the problem is when I multiply by r^2 on both sides I get terms like r^2*dp/dr, which again has to...
Forum: Main CFD Forum April 15, 2010, 05:01
Replies: 13
Views: 4,364
Posted By lost.identity
My problem is actually with integrating the...

My problem is actually with integrating the equation.

I'm using Favre averaged version of the equation so I have the following convection term

(1/r^2)*d/dr(r^2*rho*u*u)

because u (the...
Forum: Main CFD Forum April 14, 2010, 16:52
Replies: 13
Views: 4,364
Posted By lost.identity
Unhappy Navier-Stokes spherical discretization

Hi,

I'm trying to discretize the Navier-Stokes equation written in the spherical form for a Finite Volume formulation. I'm having problems due to the 1/r^2 terms appearing in the equation.

I'm...
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