# FEATool Multiphysics

- Applications and Examples

## Multiphysics

FEATool Multiphysics enables Matlab and Octave users to easily define multiphysics couplings directly through the graphical user interface and the Matlab command line by simply typing in the coupling as it would be written on paper. FEATool then discretizes and solves the equation systems in a true monolithic and fully coupled manner. In addition to easily defined custom equations, the following predefined multiphysics modes are available which can be combined to create complex multiphysics models.

## Heat Transfer

Heat transport through conduction in solids and convection in fluids can be modeled with the heat transfer physics mode in FEATool. The temperature field can be coupled to other physics modes such as structural mechanics applications for thermal stresses, fluid flow to account for buoyancy effects, or convection, diffusion, and reaction equations to account for thermalemical reactions. Moreover, two way couplings can easily be made to account for the fluid flows convection of the temperature field. The following heat transfer model examples are available in FEATool

## Structural Mechanics (SME)

FEATool features three predefined physics modes for structural mechanics applications and can solve 3D static solid problems with a linear elasticity assumption, and 2D plane stress and strain approximations. In addition thermal strain effects are also pre-defined and can thus quickly be coupled to a heat transfer application. Parametric studies of both geometry and input variables such as load forces are also easily set up through the use of the m-script file functionality. The following benchmark and solid mechanics test models are available

## Computational Fluid Dynamics (CFD)

Performing Octave and Matlab CFD simulations have never been so easy. Both stationary and time-dependent computational fluid dynamics (CFD) simulation problems can be set up directly in the GUI. And by using multiphysics, the flow field and pressure can be coupled to other physics modes such as heat transfer andemical transport models. This allows for complex CFD simulations such as reactive and multiphase flows to be set up with ease. Also, by using higher order finite elements complex quantities such as drag and lift forces for aerodynamics simulations can also evaluated very accurately. FEATool has been thoroughly validated for many computational fluid dynamics CFD benchmarks and simulation models

## Classic Partial Differential Equations (PDE)

Implementations for classic PDE equations such as Poisson, Laplace, Wave and Convection and Diffusion Equations are readily available. In addition FEATool allows users to define their own equations with any number of dependent variables, both in the GUI and on the command line. Furthermore, the finite element FEM problem definitions are fully accessible and can be modified users though the command line interface.