Wave Equation on a Circle
This tutorial explains how to set up and solve a generalized wave equation model on a circle, like for example for a drum or membrane, and then tracks how the initial parabolic deformed state will affect the resulting shape. The wave equation is one of the classic hyperbolic partial differential equations (PDE) of the …
Interference and Diffraction
The classic double-slit experiment considers a planar and periodic oscillating wave which hits and passes two narrow slits. Assuming the slits are narrow enough, the passing waves will bend and cause an interference pattern, while diffraction will attenuate the off axis resulting amplitude. In the example the Helmholtz …
Topology Optimization with MATLAB and FEATool Multiphysics
This is an advanced model example showing how topology optimization can be implemented and modeled with FEATool. The model has been developed and kindly shared to us by Prof. Shintaro Yamasaki at the Department of Mechanical Engineering of Osaka University. In contrast to standard simulations where the domain and …
Axisymmetric Swirling Flows
Fluid flows with swirl effects can occur in rotationally symmetric geometries where the azimuthal or angular velocity component is non-zero. In this case one must solve the fully three-dimensional Navier-Stokes equations. However, due to the assumption that azimuthal variations can be neglected, it is still sufficient …