Enable JavaScript to interact with content and submit forms on Wolfram websites. Learn how

WOLFRAM SYSTEM MODELER

pipeWithScalarField

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

Wolfram Language

In[1]:=

SystemModel["Modelica.Mechanics.MultiBody.Visualizers.Advanced.SurfaceCharacteristics.pipeWithScalarField"]

Out[1]:=

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