functionpipeWithScalarField

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

Extends from Modelica.Mechanics.MultiBody.Interfaces.partialSurfaceCharacteristic (Interface for a function returning surface characteristics).

Information

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");

Inputs

TypeNameDefaultDescription
Integernu (from partialSurfaceCharacteristic)Number of points in u-Dimension
Integernv (from partialSurfaceCharacteristic)Number of points in v-Dimension
BooleanmultiColoredSurface (from partialSurfaceCharacteristic)false= true: Color is defined for each surface point
SI.RadiusrOuterOuter radius of cylinder
SI.LengthlengthLength of cylinder
SI.Position[:]xsiRelative position along the pipe with x[1] = 0, x[end] = 1
Real[size(xsi, 1)]TScalar field value at position xsi*length
RealT_minT <= T_min is mapped to colorMap[1,:]
RealT_maxT >= T_max is mapped to colorMap[end,:]
Real[:,3]colorMapColor map to map scalar T to a corresponding color

Outputs

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