Fluid-Structure Interaction - Elastic Beam
Fluid-structure interaction benchmark problem for stationary, laminar, and incompressible flow around a cylinder with an attached elastic beam. Although it is not possible to derive an analytical solution to these test cases, numerical solutions to benchmark reference quantities have been established for the beam …
Thermo-Mechanical Bending of a Beam
Coupled thermo-mechanical multiphysics simulation of bending of a cantilever beam. The left side of the beam is fixed to a solid wall while the top side is subjected to an elevated external temperature through natural convection. The lower and left side are continuously held at the initial zero temperature. A …
Multiple Scale Modeling for Predictive Material Deformation Analysis
A multi-scale modeling and simulation study using FEATool Multiphysics to investigate stretching and deformation of a ligament under uniaxial tension is presented in the following. The study demonstrates how the FEATool simulation software can be used by students and non-experts to perform simulations and quickly get …
Turbulent Flow Over a Backwards Facing Step (OpenFOAM)
Flow over backwards facing steps are classic computational fluid dynamics test problems, and are often used for validation of simulation codes. This test problem consists of studying how the flow field reacts to a sudden expansion in a channel. The expansion will cause a break in the flow and a recirculation or …
Piezo Electric Bending of a Beam
Multiphysics simulation of piezoelectric bending of a laminated beam as for example can be found in actuators for MEMS (micro electro mechanical systems) devices. The model features coupled plane-stress and electrostatics physics modes with equations modified to account for the anisotropic piezo-electric coupling. The …
Heat Induced Stress in a Brake Disc
This multiphysics model examines temperature and heat induced stresses for one braking cycle in a brake disc assembly, and involves coupling of the stress-strain and heat transfer physics modes. The braking process consists of applying a brake pad to the front part of the disc which induces heat through friction, and …
Stretching of a Thin Plate with a Hole
This example is a well known benchmark test case from structural mechanics, a thin plate with a circular hole in the center is subjected to a load and stretched along the horizontal axis. The plate is thin enough to satisfy the two dimensional plane stress approximation, and since both the problem and solution will be …
Natural Convection in a Square Cavity
This multiphysics model illustrates natural convection effects in a unit square domain using the Boussinesq approximation. The model involves a Navier-Stokes equations physics mode, representing the fluid flow with solid wall or no-slip boundary conditions everywhere. In addition a heat transfer physics mode is added …
Axisymmetric Fluid Flow
FEATool is designed to be able to perform complex multiphysics simulations in arbitrary dimensions (1D, 2D, and 3D). However, running full 3D simulations often requires a significant amount of computational resources in the form of memory and simulation time. It is therefore desirable to find simplifications to reduce …
Black-Scholes Equation
This is an example showing how to define a custom parital differential equation (PDE) equation model in the FEATool Multiphysics. In this case the Black-Scholes model equation, which is used in financial analytics to model derivatives and options pricing. The non-linear partial differential equation to be solved reads …