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QuentinWach committed Jul 4, 2024
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# Eulerian Fluid Simulator

<img align="right" width="40%" margin-left="20px" src="1st_test_smoke.png">
We will look at a 2D simulation here first. Moving to 3D is quite trivial. It is _Eulerian_ because we use a grid rather than points for the computations. Below, we will be mainly following the work of Matthias Müller [^1] [^2] with added details and insights from various other sources.

We assume that:
1. Water is an [incompressable fluid](https://en.wikipedia.org/wiki/Incompressible_flow).
2. It has no [viscosity](https://en.wikipedia.org/wiki/Viscosity) (even though adding it would be rather easy).


![alt text](1st_test_smoke.png)

Our velocity vector

$$
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[^AshMaster]: [Michael Ash, _"Master Thesis: Simulation and Visualization of a 3D Fluid"_, 2005](https://www.mikeash.com/thesis/thesis-en.pdf)

[^YTVideo]: [The Coding Train, _"Coding Challenge #132: Fluid Simulation"_](https://www.youtube.com/watch?v=alhpH6ECFvQ)

## Other Research Publications
[^Visco]: [S. Clavet, P.Beaudoin, and P. Poulin, _"Particle-based Viscoelastic Fluid Simulation"_, ACM SIGGRAPH Symposium on Computer Animation, 2005](https://www.researchgate.net/profile/Pierre-Poulin/publication/220789321_Particle-based_viscoelastic_fluid_simulation/links/0c96051824f22359e2000000/Particle-based-viscoelastic-fluid-simulation.pdf?origin=publication_detail&_tp=eyJjb250ZXh0Ijp7ImZpcnN0UGFnZSI6InB1YmxpY2F0aW9uIiwicGFnZSI6InB1YmxpY2F0aW9uRG93bmxvYWQiLCJwcmV2aW91c1BhZ2UiOiJwdWJsaWNhdGlvbiJ9fQ)

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