VCG - ABC Flow

Description

The Arnold-Beltrami-Childress flow is an incompressible 3D flow, which represents an exact solution of the Euler's equation.

Details

The Arnold–Beltrami–Childress [Haller] flow is an incompressible three dimensional flow which is an exact solution to the Euler's equation. Its equation in cartesian coordinates is as follows:
$v(x,y,z)= \begin{pmatrix}A*\sin(z) + C*\cos(y)\\ B*\sin(x) + A*\cos(z)\\ C*\sin(y) + B*\cos(x)\end{pmatrix} $

Input

Output

vtkImageData

Parameters

Name	Description	Values/Default
A	Parameter A of the ABC-Flow.	1.73205080757
B	Parameter B of the ABC-Flow.	1.41421356237
C	Parameter C of the ABC-Flow.	1.0
OutputSpaceTime	Add time dimension to output dimenstions.	0
TimeRange	Time range of samples.	0.0 0.0
TimeSteps	Number of time steps for the samples.	1
Samples	Number of samples in each dimension.	100 100 100
Origin	Point of origin for the samples window.	0.0 0.0 0.0
Scale	Scale of sample distance in each dimension.	6.283185307179586 6.283185307179586 6.283185307179586