2010/8/11 Daniel Wheeler <[email protected]>

>
> Hi Benny, I've updated the example with your version
> (http://matforge.org/fipy/changeset/3799/). Can I add you name and
> email to the example?
>

Yes, of course.

I'll use this code the following weeks to determine flow field in a
partially blocked pipe, so should there be remaining issues, I'll send
additional patches.

Greetings,
Benny


> On Mon, Jul 19, 2010 at 6:58 PM, Benny Malengier
> <[email protected]> wrote:
> > Hi,
> >
> > I wanted to test the flow code some more (as was said in the other
> thread,
> > difficult to write a good test for the code in viscous limit), and not
> > having dolphyn, I decided to see how fipy stacks up for the lid driven
> > cavity, Re=1000, which is a well known example with many literature
> > comparisons.
> >
> > The example file and figures are in Ticket URL:
> > <http://matforge.org/fipy/ticket/306>
> >
> > The literature comparison for a 123x123 grid is not bad, but not stellar
> > either:
> > http://matforge.org/fipy/attachment/ticket/306/lidcavitylitcmpvx.png
> > http://matforge.org/fipy/attachment/ticket/306/lidcavitylitcmpvy.png
> >
> > I think it would be good to add this example to the flow examples so as
> to
> > clearly show fipy users what fipy can do for flow simulations. For my own
> > use I only need an approximated flow field to do mass flow, so it seems
> > sufficient for my needs.
> >
> > Perhaps to add in the example is that one can obtain better matching
> values
> > with literature for refined parameters, at a heavy computational cost.
> Eg,
> > for
> > N=243
> > pressureRelaxation = 0.8
> > velocityRelaxation = 0.6
> > sweeps = 3000
> > I obtain:
> >
> http://matforge.org/fipy/attachment/ticket/306/lidcavitylitcmpvx_N243_sweep3000.png
> >
> http://matforge.org/fipy/attachment/ticket/306/lidcavitylitcmpvy_N243_sweep3000.png
> >
> > As a comparison, it is interesting to look at
> >
> http://www.cfd-online.com/Wiki/Sample_code_for_solving_Lid-Driven_cavity_test_%28Re%3D1000%29_-_Fortran_90
> > where a 120 grid is used to obtan the results. For a 123 grid, fipy still
> > has visible discrepancy, however that code uses a higher order derivative
> > for the convective term (HLPA it is called there), perhaps that explains
> it
> > Obviously, having such a convective term would be great if it makes such
> a
> > difference :-)
> >
> > Also a result of fluent here:
> > http://www.cfd-online.com/Wiki/Lid-driven_cavity_problem on a 32x32
> grid,
> > but it is not written what order or method is used or how long the
> > computation took.
> >
> > My guess would be one can obtain better results if one can put the
> velocity
> > implicitly in the velocity equation, now the velocity facevariable is
> used,
> > which is fixed and updated once in every sweep. I tried that in the code,
> > but it is commented out, because the results where bad. Perhaps I do
> > something wrong ...
> >>>> #xVelocityEq = 2.* xVelocity * PowerLawConvectionTerm(coeff=(1.,0.)) \
> > ... #                + yVelocity * PowerLawConvectionTerm(coeff=(0.,1.))
> \
> > ... #                + yVelocity.getGrad().dot([0.,1.])*xVelocity \
> > .. #    - DiffusionTerm(coeff=viscosity) +
> pressure.getGrad().dot([1.,0.])
> >>>> #yVelocityEq =  2.* yVelocity * PowerLawConvectionTerm(coeff=(0.,1.))
> \
> > ... #                + xVelocity * PowerLawConvectionTerm(coeff=(1.,0.))
> \
> > .. #                + xVelocity.getGrad().dot([1.,0.])*yVelocity \
> > ... #    - DiffusionTerm(coeff=viscosity) +
> pressure.getGrad().dot([0.,1.])
> >
> > Would be nice if sombody can tweak it to have matching results with the
> > literature, but anyway, this test has shown me fipy is adequate for my
> > purposes.
> > Obviously I wonder if the fully coupled matrix equation Daniel talks
> about
> > would not also solve the problem better, however, that fortran code I
> refer
> > to works apparently great without such a coupled solver.
> >
> > Benny
> >
>
>
>
> --
> Daniel Wheeler
>
>
>

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