We are using Kitware VTK to visualize our models. When we display streamlines, it sometimes happens that a single streamline is left out. This can be especially seen when duplicating a model several times, so that there is a model that has several components that look alike with the same distance between each other. Usually in one of the components close to the middle, a single streamline is missing. I suspect that it is due to an accumulated error in the integration VTK performs. Can it be solved in some way, e.g. by changing the Runge-Kutta method?
Are you using a program that implements VTK (i.e. ParaView), or are you implementing the RK method yourself? I know that in the ParaView GUI, it's possible to adjust the relative error between the two RK methods, assuming it's some kind of adaptive method like 4/5 Cash-Karp.
If you are implementing your own RK method, I would adjust the error or tolerance. If you are using VTK directly, but not through a GUI like ParaView, you should investigate if the RK method has some API that addresses this issue. For very sensitive systems, adaptive RK methods are very dependent on this tolerance/error value.