## Poisson Equation

## Poisson Equation

The classic Poisson equation is one of the most fundamental partial differential equations (PDEs). Although one of the simplest equations, it is a very good model for the process of diffusion and comes up in many applications (for example fluid flow, heat transfer, and chemical transport). It is therefore fundamental …

## Poisson Equation with a Point Source

## Poisson Equation with a Point Source

The classic Poisson equation is one of the most fundamental partial differential equations (PDEs). Although one of the simplest equations, it is a very good model for the process of diffusion and comes up again and again in many applications such as in fluid flow, heat transfer, and chemical transport. This example …

## Potential Flow Over an Airfoil

## Potential Flow Over an Airfoil

This example models and simulates the flow field around the cross section of a NACA airfoil using the inviscid potential equation. The potential field is here modeled with the classic Laplace PDE equation with a correction for the discontinuity at the trailing edge (the Kutta condition). On the boundaries, there is …

## Vibrations of a Circular Membrane

## Vibrations of a Circular Membrane

This example computes the the vibration modes, eigenvalues, and frequencies for a circular drum or membrane. The membrane is modeled by the unit circle and assumed to be attached to a rigid frame. The Poisson PDE equation is used with the Eigenvalue solver to compute the solution. This model is available as an …