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Partial Differential Equation Toolbox Functions

Alphabetical List By Category

PDE Problem Setup

PDE Problem Setup Basics

createpdeCreate a model
pdeModelerOpen PDE Modeler app
PDEModelPDE model object

2-D Geometry

geometryFromEdgesCreate 2-D geometry
importGeometryImport geometry from STL data
pdegplotPlot PDE geometry
decsgDecompose constructive solid geometry into minimal regions
csgchkCheck validity of Geometry Description matrix
csgdelDelete borders between minimal regions
pdearclInterpolation between parametric representation and arc length
wgeomWrite geometry specification function
pdeModelerOpen PDE Modeler app
pdecircDraw circle
pdeellipDraw ellipse
pdepolyDraw polygon
pderectDraw rectangle

3-D Geometry

geometryFromMeshCreate 3-D geometry from a triangulated mesh
importGeometryImport geometry from STL data
multicuboidCreate geometry formed by several cubic cells
multicylinderCreate geometry formed by several cylindrical cells
multisphereCreate geometry formed by several spherical cells
pdegplotPlot PDE geometry

Boundary Conditions

applyBoundaryConditionAdd boundary condition to PDEModel container
findBoundaryConditionsFind boundary condition assignment for a geometric region

PDE Coefficients

findCoefficientsLocate active PDE coefficients
specifyCoefficientsSpecify coefficients in a PDE model

Meshing

generateMeshCreate triangular or tetrahedral mesh
pdemeshPlot PDE mesh
adaptmeshAdaptive 2-D mesh generation and PDE solution
initmeshCreate initial 2-D mesh
meshToPet[p,e,t] representation of FEMesh data
jigglemesh(Not recommended) Jiggle internal points of triangular mesh
refinemeshRefine triangular mesh
pdeentIndices of triangles neighboring given set of triangles
pdesdpIndices of points/edges/triangles in set of subdomains
pdesdeIndices of points/edges/triangles in set of subdomains
pdesdtIndices of points/edges/triangles in set of subdomains
pdetrgTriangle geometry data
pdetriqTriangle quality measure

Initial Conditions

findInitialConditionsLocate active initial conditions
setInitialConditionsGive initial conditions or initial solution

PDE Solvers

assembleFEMatricesAssemble finite element matrices
solvepdeSolve PDE specified in a PDEModel
solvepdeeigSolve PDE eigenvalue problem specified in a PDEModel
adaptmeshAdaptive 2-D mesh generation and PDE solution

Solution Visualization and Interpolation

evaluateGradientEvaluate gradients of PDE solutions at arbitrary points
evaluateCGradientEvaluate flux of PDE solution
interpolateSolutionInterpolate PDE solution to arbitrary points
pdeplotPlot solution or mesh for 2-D geometry
pdeplot3DPlot solution or surface mesh for 3-D geometry
createPDEResultsCreate solution object
evaluateInterpolate data to selected locations
pdecontShorthand command for contour plot
pdecgradFlux of PDE solution
pdegradGradient of PDE solution
pdesurfShorthand command for surface plot
EigenResultsPDE eigenvalue solution and derived quantities
StationaryResultsTime-independent PDE solution and derived quantities
TimeDependentResultsTtime-dependent PDE solution and derived quantities
pdeInterpolantInterpolant for nodal data to selected locations

Applications

Structural Mechanics

createpdeCreate a model
structuralPropertiesAssign structural properties of a material for a structural model
structuralBodyLoadSpecify body load for a structural model
structuralBoundaryLoadSpecify boundary loads for a structural model
structuralBC Specify boundary conditions for a structural model
solveSolve heat transfer or structural analysis problem
interpolateDisplacementInterpolate displacement at arbitrary spatial locations
interpolateStressInterpolate stress at arbitrary spatial locations
interpolateStrainInterpolate strain at arbitrary spatial locations
interpolateVonMisesStressInterpolate von Mises stress at arbitrary spatial locations
evaluateReactionEvaluate reaction forces on boundary
evaluatePrincipalStressEvaluate principal stress at nodal locations
evaluatePrincipalStrainEvaluate principal strain at nodal locations
pdeplotPlot solution or mesh for 2-D geometry
pdeplot3DPlot solution or surface mesh for 3-D geometry
findStructuralPropertiesFind structural material properties assigned to geometric region
findStructuralBCFind structural boundary conditions and boundary loads assigned to geometric region
findBodyLoadFind body load assigned to geometric region
StructuralModelStructural model object
StaticStructuralResultsStatic structural solution and its derived quantities

Heat Transfer

createpdeCreate a model
thermalPropertiesAssign thermal properties of a material for a thermal model
internalHeatSourceSpecify internal heat source for a thermal model
thermalBCSpecify boundary conditions for a thermal model
thermalICSet initial conditions or initial guess for a thermal model
solveSolve heat transfer or structural analysis problem
interpolateTemperatureInterpolate temperature in a thermal result at arbitrary spatial locations
evaluateTemperatureGradientEvaluate temperature gradient of a thermal solution at arbitrary spatial locations
evaluateHeatFluxEvaluate heat flux of a thermal solution at nodal or arbitrary spatial locations
evaluateHeatRateEvaluate integrated heat flow rate normal to specified boundary
pdeplotPlot solution or mesh for 2-D geometry
pdeplot3DPlot solution or surface mesh for 3-D geometry
findThermalPropertiesFind thermal material properties assigned to a geometric region
findHeatSourceFind heat source assigned to a geometric region
findThermalBCFind thermal boundary conditions assigned to a geometric region
findThermalICFind thermal initial conditions assigned to a geometric region
ThermalModelThermal model object
SteadyStateThermalResultsSteady-state thermal solution and derived quantities
TransientThermalResultsTransient thermal solution and derived quantities
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