[Paraview] RungeKutta4 implementation issue

[Zhanping Liu]

Hi Fred:

    As JB suggested, please try using RK45, which employs an adaptive step
size that is insensitive to the velocity magnitude and hence is capable of
capturing accurate shape of the curve (flow line). Using RK4 (still adopting
a fixed step size) does not guarantee a sufficient / desired acurracy of
numerical integration (though certainly it is better than RK2) since it is
stil sensitive to the velocity magnitude.

    Recently we improved the flow line integration accuracy issue. For any
problems, please feel free to let us know.

    Thanks.

    -Zhanping
   --
Zhanping Liu, PhD
Kitware, Inc.
28 Corporate Drive
Clifton Park, NY 12065-8662
Phone: 518-371-3971 x 138
http://www.zhanpingliu.org

On Mon, Aug 17, 2009 at 5:06 AM, John Biddiscombe <biddisco at cscs.ch> wrote:

> I suggest you attach a debugger to the code and step through. Then you'll
> be able to answer your question.
>
> Since the velocity field of your data may be high, it is entirely possible
> that the computed next position is outside of the bounds. Perhaps reducing
> the step size will help. Try even Rk4.5 with adaptive steps, this may help
> if the velocity gradient at the edge of the domain is very large..
>
> JB
>
>   How is it possible???
>
>   double *bds = reader->GetOutput()->GetBounds();
>   printf("%lf %lf %lf %lf\n", bds[0], bds[1], bds[2], bds[3]);
>
> -> 0.000000 69.000000 0.000000 69.000000
>
>   printf("point1[0]=%f point1[1]=%f point1[2]=%f\n", point1[0], point1[1],
> point1[2]);
>
> -> point1[0]=58.196274 point1[1]=68.862898 point1[2]=0.000000
>
>   if (integrator->ComputeNextStep(point1, point2, 0, delT.Interval,
> stepTaken, minStep, maxStep, this->MaximumError, error) != 0)
>     break;
>   printf("point2[0]=%f point2[1]=%f point2[2]=%f\n", point2[0], point2[1],
> point2[2]);
>
> -> point2[0]=59.002164 point2[1]=69.454414 point2[2]=0.000000
>
> PS: This message should probably be sent to the VTK mailing list but it
> seems that it is no longer so active...
>
>
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> --
> John Biddiscombe,                            email:biddisco @ cscs.chhttp://www.cscs.ch/
> CSCS, Swiss National Supercomputing Centre  | Tel:  +41 (91) 610.82.07
> Via Cantonale, 6928 Manno, Switzerland      | Fax:  +41 (91) 610.82.82
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