VCG - Vortex Rope

Description

2D Flow containing two vortices rotating around the center.

Details

The Vortex Rope [Günther] , also known as Elliptic beads or Helix Vortex, is a 2D flow consisting of two vortices rotating around the center. The equations for the velocity-field is
$v(x,y,t)=\begin{pmatrix}-\frac{\partial}{\partial y} s(x',y') \\\frac{\partial}{\partial x} s(x',y')\end{pmatrix}$
with
$s(x,y,t)=(a+b)(1-a-b)$ and $a(x,y,t)=\frac{1}{36}*(3x*\cos(t)+3y*\sin(t) -1)^2$, $b(x,y,t)=(x*\sin(t) -y*\cos(t))^2$

Input

Output

vtkImageData

Parameters

Name
Description
 Values/Default
OutputSpaceTime Add time dimension to output dimenstions. 0
TimeRange Time range of samples. 0.0 6.28318530718
TimeSteps Time step size of samples. 32
Samples Number of samples in each dimension. 32 32
Origin Point of origin for the samples window. -2.0 -2.0
Scale Scale of sample distance in each dimension. 4.0 4.0

Installation Instructions

Authors

Lutz Hofmann

References

T. Günther, H. Theisel:
Objective Vortex Corelines of Finite-sized Objects in Fluid Flows
IEEE Transactions on Visualization and Computer Graphics (Proc. IEEE Scientific Visualization 2018), 2018.

Acknowledgements