CFDPython
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CFDPython
 Which one is best for numerical simulations for fluid mechanics [mostly linear terms].

Poisson's Equation is the most powerful tool not yet in your toolbox
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 NavierStokes 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 SpalartAllmaras model:
https://www.cfdonline.com/Wiki/Introduction_to_turbulence/R...

Complexity Explained
I sniff an air of condescension; what’s your goals therein? Are you posturing your ‘maths’ knowledge?
I thought I was explicit in my criticism of “notation only” explanations, but perhaps a positive example would be more explicit.
https://github.com/barbagroup/CFDPython
This repo explains computational fluid dynamics (an example of a complex system!) from “what is a python function” to “2d Navier stokes”.
It shows the work of how to discretize ‘latex beautified’ notation, shows the relationship between the computations and the notation, and even explains when their LaTex strays from “conventional use of notation” and why.
The authors even throw in traditional handwritten board lecture videos if that helps you learn better.
complexityexplained reads like it’s written by the SpiderMan points at SpiderMan meme.

AeroPython: Classical Aerodynamics with Python
See also by the same professor CFD Python: 12 Steps to NavierStokes: https://github.com/barbagroup/CFDPython
AeroSandbox

I gave a presentation on the use of Python in aerospace engineering
AeroSandbox  an optimization suite that combines the easeofuse of NumPy syntax with the power of modern automatic differentiation. AeroSandbox contains dozens of endtoenddifferentiable aerospace physics models, allowing you to simultaneously optimize an aircraft's aerodynamics, structures, propulsion, mission trajectory, stability, and more. Best of all, it is designed to be run on a laptop, not a supercomputer.
What are some alternatives?
AeroPython  Classical Aerodynamics of potential flow using Python and Jupyter Notebooks
PteraSoftware  Ptera Software is a fast, easytouse, and opensource software package for analyzing flappingwing flight.
Nalu  Nalu: a generalized unstructured massively parallel low Mach flow code designed to support a variety of open applications of interest built on the Sierra Toolkit and Trilinos solver Tpetra solver stack. The open source BSD, clause 3 license model has been chosen for the code base. See LICENSE for more information.
homemademachinelearning  🤖 Python examples of popular machine learning algorithms with interactive Jupyter demos and math being explained
AlgorithmicTrading  This repository contains three ways to obtain arbitrage which are Dual Listing, Options and Statistical Arbitrage. These are projects in collaboration with Optiver and have been peerreviewed by staff members of Optiver.
poissoncanvas  Explore poisson equation with HTML canvas
ZygoteMutatingArraysWorkAround.jl  A tutorial on how to work around ‘Mutating arrays is not supported’ error while performing automatic differentiation (AD) using the Julia package Zygote.
Flow  Flow is a sparse gridbased fluid simulation library for realtime applications.
wordlesolver  For educational purposes, a simple script that assists in solving the word game Wordle.
poisson  Solve Poisson equation on arbitrary 2D domain using the finite element method.
Boeing777300ER  A freeware hobby project simulation for XPlane of the B777300ER