[petsc-users] Seeking an example for TS

[Gautam Bisht]

Thanks, Matt, Jed.

I found ex10.c useful for my case.

-Gautam


On Wed, Oct 30, 2013 at 1:52 PM, Matthew Knepley <knepley at gmail.com> wrote:

> On Wed, Oct 30, 2013 at 3:47 PM, Gautam Bisht <gbisht at lbl.gov> wrote:
>
>> Hi,
>>
>> I'm wondering if there is a TS example for a similar system:
>>
>> d/dt [f(x)] = g(x)
>>
>> For example, in PFLOTRAN, we have the following governing equation for
>> subsurface flow:
>>
>> d/dt [ sat(P)*den(P)*por] = - g(P)
>>
>> where,
>> sat = saturation,
>> den = density,
>> por = porosity,
>> P = Pressure
>>
>> PFLOTRAN uses SNES to solve the nonlinear system of equations that arises
>> from a backward Euler time discretization. I'm trying to seek guidance on
>> how one would go about reformulating PFLOTRAN's equations to use TS.
>>
>
> All the TS examples (I think) have the form
>
>   F(u, \dot u, x, t) = G(u, x, t)
>
> where the unknowns are u, the coordinates are x, and the time is t. I
> would look at the examples
> (maybe ex25), and then try coding it up.
>
>    Matt
>
>
>> Thanks,
>> -Gautam
>>
>
>
>
> --
> What most experimenters take for granted before they begin their
> experiments is infinitely more interesting than any results to which their
> experiments lead.
> -- Norbert Wiener
>
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