FEATool Multiphysics
v1.11 Finite Element Analysis Toolbox |

Tutorials

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. de-selecting 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

Natural Convection in a Square Cavity

Resistive Heating in a Tungsten Filament

Heat Induced Stress in a Brake Disc

Thermo-Mechanical 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)

Natural Convection in a Square Cavity

Fluid-Structure Interaction - Elastic Beam

Vibration Modes of a Hollow Cylinder

Stress Analysis of a Thick Plate

Heat Induced Stress in a Brake Disc

Piezoelectric Bending of a Beam

Thermo-Mechanical Bending of a Beam

Fluid-Structure Interaction - Elastic Beam

Electrostatic Spherical Capacitor

Magnetic Field Around a Horseshoe Magnet

Two Material Wave Guide Interface

Piezoelectric Bending of a Beam

Resistive Heating in a Tungsten Filament

Heat Induced Stress in a Brake Disc

Natural Convection in a Square Cavity

Piezoelectric Bending of a Beam

Thermo-Mechanical Bending of a Beam

Fluid-Structure Interaction - Elastic Beam

Poisson Equation with a Point Source

Vibrations of a Circular Membrane

Resonance Frequencies of a Room

The following selection of MATLAB m-file script examples and test cases can be found in the examples directory of the FEATool installation folder.

Field | Description |
---|---|

ex_axistressstrain1 | Axisymmetric stress-strain of a hollow cylinder. |

ex_axistressstrain2 | Axisymmetric stress-strain 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 L-shaped 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 convection-diffusion-reaction with exact solution. |

ex_convreact1 | Time dependent one dimensional convection and reaction model. |

ex_custom_equation1 | Black-Scholes 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 Euler-Bernoulli beam example. |

ex_euler_beam2 | 1D Euler-Bernoulli beam vibration mode example. |

ex_euler_beam3 | 1D Euler-Bernoulli beam vibration example. |

ex_fluidstructure1 | Fluid-structure interaction for static flow past an elastic beam |

ex_fluidstructure2 | Fluid-solid interaction, instationary flow past an elastic beam |

ex_fluidstructure3 | 2D Fluid-structure interaction for flow past an elastic beam |

ex_fluidstructure4 | 3D Fluid-structure 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_laplace1 | Laplace equation on a unit square. |

ex_laplace2 | Laplace equation on a unit circle. |

ex_linearelasticity1 | Linear elasticity test case, solid stress-strain 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 I-beam supported by two brackets. |

ex_linearelasticity5 | Vibration of a square plate. |

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 | 2D Pousille flow due to pressure gradient. |

ex_navierstokes15 | 2D flow past a cylinder with an attached fixed beam. |

ex_nonnewtonian1 | 2D non-Newtonian power-law 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 | 3D 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 plane stress benchmark of a tapered plate. |

ex_planestress4 | NAFEMS benchmark of plate deformation due to thermal stress. |

ex_planestress5 | NAFEMS benchmark for plane stress in an elliptic membrane. |

ex_planestress6 | 2D Plane stress analysis of a pressure vessel. |

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_potential_flow1 | Potential flow around a NACA wing profile. |

ex_resistive_heating1 | Resistive heating of a spiral tungsten filament. |

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 Taylor-Couette swirl flow. |

ex_swirl_flow4 | 2D axisymmetric swirl flow around a rotating disk. |

ex_waveequation1 | Wave equation on a unit circle. |