pipeWithScalarField

Function defining the surface characteristic of a pipe where a scalar field value is displayed with color along the pipe axis

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Function pipeWithScalarField computes the X, Y, Z and C arrays in order to visualize a pipe and a scalar field along the pipe axis with model PipeWithScalarField. The latter is shown by mapping scalar field to color values with a color map and utilizing this color at the perimeter associated with the corresponding axis location. Typically the scalar field value is a temperature, but might be also another quantity. Predefined color maps are available from MultiBody.Visualizers.Colors.ColorMaps and can be selected via input argument "colorMap". A color map with the corresponding scalar field values can be exported as vector-graphics in svg-format with function MultiBody.Visualizers.Colors.colorMapToSvg. An example is shown in the next figure:

The color coding is shown in the next figure. It was generated with Mechanics.MultiBody.Visualizers.Colors.colorMapToSvg using the following call:

colorMapToSvg(Modelica.Mechanics.MultiBody.Visualizers.Colors.ColorMaps.jet(),
              height=50, nScalars=6, T_max=100, heading="Temperature in C");

Syntax

(X, Y, Z, C) = pipeWithScalarField(nu, nv, multiColoredSurface, rOuter, length, xsi, T, T_min, T_max, colorMap)

Inputs (10)

nu	Type: Integer Description: Number of points in u-Dimension
nv	Type: Integer Description: Number of points in v-Dimension
multiColoredSurface	Default Value: true Type: Boolean Description: = true: Color is defined for each surface point
rOuter	Type: Radius (m) Description: Outer radius of cylinder
length	Type: Length (m) Description: Length of cylinder
xsi	Type: Position[:] (m) Description: Relative position along the pipe with x[1] = 0, x[end] = 1
T	Type: Real[size(xsi, 1)] Description: Scalar field value at position xsi*length
T_min	Type: Real Description: T <= T_min is mapped to colorMap[1,:]
T_max	Type: Real Description: T >= T_max is mapped to colorMap[end,:]
colorMap	Type: Real[:,3] Description: Color map to map scalar T to a corresponding color

Outputs (4)

X	Type: Position[nu,nv] (m) Description: [nu,nv] positions of points in x-Direction resolved in surface frame
Y	Type: Position[nu,nv] (m) Description: [nu,nv] positions of points in y-Direction resolved in surface frame
Z	Type: Position[nu,nv] (m) Description: [nu,nv] positions of points in z-Direction resolved in surface frame
C	Type: Real[if multiColoredSurface then nu else 0,if multiColoredSurface then nv else 0,3] Description: [nu,nv,3] Color array, defining the color for each surface point