FEATool Multiphysics
v1.16.1
Finite Element Analysis Toolbox

A selection of tutorial models and examples are presented in this section. These and other model examples can also be selected and automatically run from the File > Model Examples and Tutorials... menu.
When an automated tutorial is selected, the Run Model dialog box will open and show a description and information about the tutorial example. The tutorial can be started by pressing the Run button. deselecting the Tutorial mode toggle button will run the tutorial in fast automatic mode without any pauses. When a tutorial or finite element script (fes) model is run, the GUI Playback Control panel below is opened where the Playback Speed can be controlled via the slider. Setting the slider to the slowest (far left) setting pauses the tutorial playback and enables the Step button to manually step through the tutorial at ones own pace. Closing the playback control panel or pressing the Cancel button stops the tutorial at the current state.
Transient Heat Diffusion in a Rod
Heat Transfer in a Ceramic Strip
SpaceTime Transformation of Heat Conduction
Natural Convection in a Square Cavity
Resistive Heating in a Tungsten Filament
Heat Induced Stress in a Brake Disc
ThermoMechanical Bending of a Beam
Flow Over a Backwards Facing Step
Potential Flow Over an Airfoil
Supersonic Flow Over an Obstacle
Turbulent Flow Over a Backwards Facing Step (OpenFOAM)
NonNewtonian Flow in an Extrusion Die
Natural Convection in a Square Cavity
FluidStructure Interaction  Elastic Beam
Vibration Modes of a Hollow Cylinder
Stress Analysis of a Thick Plate
Temperature Loading of a Tapered Cylinder
Heat Induced Stress in a Brake Disc
Piezoelectric Bending of a Beam
Stress Distribution in a Solenoid
ThermoMechanical Bending of a Beam
FluidStructure Interaction  Elastic Beam
Electrostatic Spherical Capacitor
Magnetic Field Around a Horseshoe Magnet
Two Material Wave Guide Interface
Capacitance in a Microstrip Transmission Line
Skin Effect in a Circular Wire
Piezoelectric Bending of a Beam
Stress Distribution in a Solenoid
Resistive Heating in a Tungsten Filament
Heat Induced Stress in a Brake Disc
Natural Convection in a Square Cavity
Piezoelectric Bending of a Beam
ThermoMechanical Bending of a Beam
FluidStructure Interaction  Elastic Beam
Stress Distribution in a Solenoid
MultiSimulation Heat Exchanger
Poisson Equation with a Point Source
Vibrations of a Circular Membrane
Resonance Frequencies of a Room
The following selection of MATLAB mfile script examples and test cases can be found in the examples directory of the FEATool installation folder.
Field  Description 

ex_axistressstrain1  Axisymmetric stressstrain of a hollow cylinder. 
ex_axistressstrain2  Axisymmetric stressstrain of a hollow sphere. 
ex_axistressstrain3  Axisymmetric disc with fixed edge and point load. 
ex_axistressstrain4  Stress formed in brake disk due to heat build up. 
ex_axistressstrain5  Axisymmetric vibration modes of a hollow cylinder. 
ex_brinkman1  Coupled porous and incompressible laminar flow. 
ex_classicpde1  Eigenmodes for a circular drum. 
ex_classicpde2  Eigenmodes for a Lshaped membrane. 
ex_compressibleeuler1  1D compressible Euler SOD shock tube problem. 
ex_compressibleeuler2  2D compressible Euler oblique shock problem. 
ex_compressibleeuler3  2D compressible Euler reflected shock problem. 
ex_compressibleeuler4  2D compressible Euler inviscid supersonic flow over a bump. 
ex_convdiff1  Convection and diffusion on a unit square. 
ex_convdiff2  Periodic convection and diffusion on a line with exact solution. 
ex_convdiff3  Infinite time dependent convection and diffusion on a line. 
ex_convdiff4  One dimensional Burgers equation with steady solution. 
ex_convdiff5  Dominating convection example requiring artificial stabilization. 
ex_convdiff6  1D stationary convectiondiffusionreaction with exact solution. 
ex_convreact1  Time dependent one dimensional convection and reaction model. 
ex_custom_equation1  BlackScholes model equation implemented as a custom equation. 
ex_darcy1  Porous media flow in a packed bed reactor using Darcy's law. 
ex_diffusion1  Diffusion equation on a unit square with different solutions. 
ex_diffusion2  Diffusion equation on a line with exact solutions. 
ex_eddycurrents1  2D Eddy currents test problem solved vector (Nedelec) elements. 
ex_eddycurrents2  3D Eddy currents test problem solved vector (Nedelec) elements. 
ex_electrostatics1  Electrostatics test problem. 
ex_electrostatics2  Axisymmetric model of a spherical capacitor. 
ex_euler_beam1  1D EulerBernoulli beam example. 
ex_euler_beam2  1D EulerBernoulli beam vibration mode example. 
ex_euler_beam3  1D EulerBernoulli beam vibration example. 
ex_fluidstructure1  Fluidstructure interaction for static flow past an elastic beam 
ex_fluidstructure2  Fluidsolid interaction, instationary flow past an elastic beam 
ex_fluidstructure3  2D Fluidstructure interaction for flow past an elastic beam 
ex_fluidstructure4  3D Fluidstructure interaction for flow past an elastic beam 
ex_heat_exchanger1  Free and forced convection in a heat exchanger. 
ex_heattransfer1  2D heat conduction with natural convection and radiation. 
ex_heattransfer2  One dimensional stationary heat transfer with radiation. 
ex_heattransfer3  One dimensional transient heat conduction. 
ex_heattransfer4  Two dimensional heat transfer with convective cooling. 
ex_heattransfer5  Two dimensional transient cooling shrink fitting example. 
ex_heattransfer6  Axisymmetric steady state heat conduction of a cylinder. 
ex_heattransfer7  One dimensional transient heat conduction with analytic solution. 
ex_heattransfer8  2D spacetime formulation of one dimensional transient heat diffusion. 
ex_heattransfer9  One dimensional transient heat conduction with point source. 
ex_laplace1  Laplace equation on a unit square. 
ex_laplace2  Laplace equation on a unit circle. 
ex_linearelasticity1  Linear elasticity test case, solid stressstrain for a cube. 
ex_linearelasticity2  Three dimensional example of stress on a bracket. 
ex_linearelasticity3  Parametric study of the bracket deformation model. 
ex_linearelasticity4  Stress of loaded Ibeam supported by two brackets. 
ex_linearelasticity5  Vibration of a square plate. 
ex_linearelasticity6  NAFEMS benchmark LE6, skew plate under normal pressure. 
ex_magnetostatics1  Magnetostatics test problem. 
ex_magnetostatics2  Magnet field around a horseshoe magnet. 
ex_magnetostatics3  Cylindrical magnet without electrical currents. 
ex_magnetostatics4  Axisymmetric model of cylindrical magnet. 
ex_magnetostatics5  2D Magnetostatics test model. 
ex_multiphase1  Multiphase flow example of a static bubble. 
ex_multiphase2  Multiphase flow example of a rising bubble. 
ex_multiphase3  Multiphase flow example of a breaking dam. 
ex_natural_convection  Natural convection in a square cavity. 
ex_navierstokes1  Incompressible fluid flow in a channel. 
ex_navierstokes2  Incompressible driven cavity flow. 
ex_navierstokes3  Incompressible fluid flow around a cylinder in a channel (Re=20). 
ex_navierstokes3b  Flow around a cylinder solver benchmark. 
ex_navierstokes4  Incompressible fluid flow over a backwards facing step. 
ex_navierstokes5  Two dimensional decay of a standing vortex. 
ex_navierstokes6  Time dependent flow around a cylinder in a channel (0<=Re<=100). 
ex_navierstokes7  Laminar flow in a curved three dimensional pipe. 
ex_navierstokes8  Axisymmetric flow in a circular pipe. 
ex_navierstokes8b  Axisymmetric pipe flow solver benchmark. 
ex_navierstokes9  Axisymmetric impinging jet. 
ex_navierstokes10  3D flow in a pipe using the OpenFOAM solver. 
ex_navierstokes11  3D cavity flow in a cube using the OpenFOAM solver. 
ex_navierstokes12  3D flow over a backwards facing step using the OpenFOAM solver. 
ex_navierstokes13  3D flow past a cylinder using the OpenFOAM solver. 
ex_navierstokes14  Axisymmetric flow in a pipe due to pressure difference. 
ex_navierstokes15  2D channel flow due to periodic pressure gradient. 
ex_navierstokes16  2D flow past a cylinder with an attached fixed beam. 
ex_navierstokes17  Turbulent 2D flow in a channel. 
ex_nonnewtonian1  2D nonNewtonian powerlaw flow in a channel. 
ex_nonlinear_pde1  1D nonlinear PDE with analytical solution. 
ex_nonlinear_pde2  1D nonlinear PDE with analytical solution extended to 2D. 
ex_periodic1  Moving 1D pulse in a periodic domain. 
ex_periodic2  2D Periodic Poisson equation example. 
ex_piezoelectric1  Bending of a beam due to piezoelectric effects. 
ex_planestrain1  2D Plane strain analysis of a pressure vessel. 
ex_planestrain2  Plane strain analysis of a pressure vessel. 
ex_planestress1  Stress computation for a hole in a thin plate. 
ex_planestress2  NAFEMS plane stress benchmark example. 
ex_planestress3  NAFEMS benchmarks IC14, plane stress analysis of a tapered plate. 
ex_planestress4  NAFEMS benchmark T1, plate deformation due to thermal stress. 
ex_planestress5  NAFEMS benchmark LE1, plane stress in an elliptic membrane. 
ex_planestress6  2D Plane stress analysis of a pressure vessel. 
ex_planestress7  Thermally induced displacements on a rectangle. 
ex_poisson1  Poisson equation on a line. 
ex_poisson2  Poisson equation on a circle. 
ex_poisson3  Poisson equation on a unit square. 
ex_poisson4  Poisson equation on a rectangle with complex solution. 
ex_poisson5  Poisson equation on a sphere. 
ex_poisson6  Poisson equation on a unit cube. 
ex_poisson7  Poisson equation on a unit circle with a point constraint. 
ex_poisson8  Poisson equation on a unit square with all Neumann boundary conditions and integral constraint. 
ex_potential_flow1  Potential flow around a NACA wing profile. 
ex_resistive_heating1  Resistive heating of a spiral tungsten filament. 
ex_resistive_heating2  Nonlinear resistive heating in a conducting plate. 
ex_robinbc1  1D example with a Robin boundary condition. 
ex_spanner  Gmsh import of a mesh and stress calculation in a spanner. 
ex_swirl_flow1  2D axisymmetric swirl flow in a tube with analytic solution. 
ex_swirl_flow2  2D axisymmetric swirl flow in a stepped narrowing tubular region. 
ex_swirl_flow3  2D axisymmetric time dependent TaylorCouette swirl flow. 
ex_swirl_flow4  2D axisymmetric swirl flow around a rotating disk. 
ex_waveequation1  Wave equation on a unit circle. 
ex_schrodinger1  The Schrödinger equation for a Hydrogen atom. 