Examples

The examples below are Jupyter notebooks from the docs/source/notebook-examples/ folder, rendered here for convenient reading.

• An introductory demonstration of PyFVTool
• Solving the Mason-Weaver equation
• Heat diffusion with a (photothermal) heating source in 1D-cylindrical geometry
• 1D Convection-diffusion example
• Cartesian 1D: Solve a 1D diffusion equation
• Cartesian 1D: Solve 1D diffusion with the explicit solver
• The heat equation in a 1D Cartesian system (Dirichlet BC)
• The heat equation in a 1D Cartesian system (Neumann BC)
• “Old-school” PyFVTool: the heat equation in a 1D Cartesian system
• Heat transfer with time-variant boundary conditions
• Steady-state heat diffusion in 1D cylindrical mesh
• Diffusion in 1D cylindrical mesh. Analytic and PyFVTool
• Convection in 2D cylindrical geometry: Taylor dispersion
• Diffusion of an initial sphere into an infinite medium
• Advection and Diffusion in Spherical Coordinates with PyFVTool
• Poisson equation example
• Simple geometry example
• 1D wave equation
• Using Intel oneMKL PARDISO as an external sparse direct solver for PyFVTool

To do

• Fix the document titles and headings

Note

Notebooks are included via nbsphinx and are not re-executed at build time (set nbsphinx_execute = 'auto' in conf.py to enable execution in CI).