Laurel and Matt's Particle Mesh Simulator. It's pretty neat

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  Density evolution w/o inteprolation so only grid vertices are shown.

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  Layered particle evolution. Matt forgot to plt.clf() but the results are still fascinating

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  Actual particle evolution. Particles are captured on vertices because we omitted the polynomial interpolation step

Inspiration

We like E&M so we wrote an E&M simulation code.

What it does

Physics simulations of n-body problems in E&M

How we built it

We defined particle and mesh objects and used the Cloud in Cell algorithm to compute the density, FFT to solve Poisson's equation and leapfrog to update the particle velocities and positions

Challenges we ran into

Finding reference material to solve Poisson's equation using FFT that was at a level adaptable for computer codes in less than 36 hours.

Accomplishments that I'm proud of

The simulation results look really cool. #Dataisbeautiful

What we learned

We learned a lot about particle-mesh methods and development.

What's next for Laurel and Matt's Particle Mesh Simulator. It's pretty neat

Adding polynomial interpolation for the density so particles aren't captured on grid points as fast.

Built With

• jupyter
• math
• python
• science