geometryFromEdges
Create 2-D geometry from decomposed geometry matrix
Description
Examples
Rectangle from Decomposed Solid Geometry
Create a decomposed solid geometry model representing a rectangle and include it in a PDE model.
Create a default scalar PDE model.
model = createpde;
Define a geometry representing a rectangle.
R1 = [3,4,-1,1,1,-1,0.5,0.5,-0.75,-0.75]';
Decompose the geometry into minimal regions.
g = decsg(R1);
Create the geometry from the decomposed geometry matrix.
geometryFromEdges(model,g);
Plot the geometry.
pdegplot(model,EdgeLabels="on") axis equal xlim([-1.1,1.1]) ylim([-0.9,0.6])
Rectangle with Circular Hole from Decomposed Solid Geometry
Create a decomposed solid geometry model and include it in a PDE model.
Create a default scalar PDE model.
model = createpde;
Define a circle in a rectangle, place these in one matrix, and create a set formula that subtracts the circle from the rectangle.
R1 = [3,4,-1,1,1,-1,0.5,0.5,-0.75,-0.75]';
C1 = [1,0.5,-0.25,0.25]';
C1 = [C1;zeros(length(R1) - length(C1),1)];
gm = [R1,C1];
sf = 'R1-C1';
Create the geometry.
ns = char('R1','C1'); ns = ns'; g = decsg(gm,sf,ns);
Include the geometry in the model and plot it.
geometryFromEdges(model,g); pdegplot(model,EdgeLabels="on") axis equal xlim([-1.1,1.1])
Predefined Geometry Functions
The toolbox provides the several geometry functions. Specify them by using the following function handles.
model = createpde; g = geometryFromEdges(model,@cardg); pdegplot(model)
clear model
model = createpde;
g = geometryFromEdges(model,@circleg);
pdegplot(model)
clear model
model = createpde;
g = geometryFromEdges(model,@cirsg);
pdegplot(model)
clear model
model = createpde;
g = geometryFromEdges(model,@crackg);
pdegplot(model)
clear model
model = createpde;
g = geometryFromEdges(model,@lshapeg);
pdegplot(model)
clear model
model = createpde;
g = geometryFromEdges(model,@scatterg);
pdegplot(model)
clear model
model = createpde;
g = geometryFromEdges(model,@squareg);
pdegplot(model)
Input Arguments
model
— Model container
PDEModel
object | ThermalModel
object | StructuralModel
object | ElectromagneticModel
object
Model container, specified as a PDEModel
object,
ThermalModel
object, StructuralModel
object,
or ElectromagneticModel
object.
Example: model = createpde(3)
Example: thermalmodel =
createpde(thermal="steadystate")
Example: structuralmodel =
createpde(structural="static-solid")
Example: emagmodel =
createpde(electromagnetic="electrostatic")
g
— Geometry description
decomposed geometry matrix | name of a geometry function | handle to a geometry function
Geometry description, specified as a decomposed geometry matrix, as the
name of a geometry function, or as a handle to a geometry function. For
details about a decomposed geometry matrix, see decsg
.
A geometry function must return the same result for the same input arguments in every function call. Thus, it must not contain functions and expressions designed to return a variety of results, such as random number generators.
Example: geometryFromEdges(model,@circleg)
Data Types: double
| char
| function_handle
Output Arguments
pg
— Geometry object
AnalyticGeometry
object
Geometry object, returned as an AnalyticGeometry
object. This
object is stored in model.Geometry
.
Version History
Introduced in R2015a
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