Poisson Equation
Poisson Equation
![Poisson Equation](/model-images/poisson1.jpg)
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
![Poisson Equation with a Point Source](/model-images/poisson_point1.jpg)
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](/model-images/airfoil1.jpg)
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](/model-images/circular_drum1.jpg)
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 …