FEATool Multiphysics

Poisson Equation Showcase Models

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poisson-equation
Poisson Equation

Poisson Equation

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 very …

Poisson Equation with a Point Source

Poisson Equation with a Point Source

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

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

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 …