Interactive Vector Field integrators

Built using PyGame

To launch the application run:

pip install -r requirements.txt
python app.py

The UI provides the following interactions:

• insert (points can be inserted)
• delete (click near point to delete)
• clear (delete all points)
• multi-select (select multiple points to configure a common integrator config)
• right click on point to configure a particular points integrator config
• points can be grabbed and dragged across the grid

Integrator config:

• Three options to click on euler/midpoint/rk4
• All three options can be selected a comparitive animation of all the trajectories is displayed via colored trails
• Color code
  • RED: Explicit Euler
  • GREEN: Midpoint
  • BLUE: RK4

NOTE:

• There are kinks in the system! The major vulnerability is that there is no validation being performed on the text input. I plan to change these to sliders element in the future.
• The vector field text input (considers x, y variables and uses python eval) - using eval is dangerous as this is not properly validated. If there are any evaluation errors the vector field component is treated as 0
• No validation on integrator configs as well, so the system can break on wrong options.