Poisson's Equation is the most powerful tool not yet in your toolbox

This page summarizes the projects mentioned and recommended in the original post on news.ycombinator.com

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  • poisson

    Solve Poisson equation on arbitrary 2D domain using the finite element method.

  • Here is my implementation in python of the Poisson equation on an arbitrary 2D domain using the finite element method. I used this for teaching a course in partial differential equations:

    https://github.com/daleroberts/poisson

  • CFDPython

    A sequence of Jupyter notebooks featuring the "12 Steps to Navier-Stokes" http://lorenabarba.com/

  • There are many different ways to do what you'd like. The easiest starting point would probably be this tutorial: https://github.com/barbagroup/CFDPython

    But that won't handle turbulence. The real "turbulence problem" is that computing actual turbulent flows requires enormous computational resources. So instead of solving the Navier-Stokes equations, related equations with lower computational cost are solved. Because of how these equations are developed, they require modeling of "unclosed" terms, and this is a likely source of inaccuracy.

    If you want something relatively simple, you could take the RANS approach and use the Spalart-Allmaras model:

    https://www.cfd-online.com/Wiki/Introduction_to_turbulence/R...

    https://www.cfd-online.com/Wiki/Spalart-Allmaras_model

  • InfluxDB

    Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.

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  • poisson-canvas

    Explore poisson equation with HTML canvas

  • The article explain clearly. Made a toy canvas to play with poisson https://github.com/beenotung/poisson-canvas

NOTE: The number of mentions on this list indicates mentions on common posts plus user suggested alternatives. Hence, a higher number means a more popular project.

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