# Solving and Visualizing Navier–Stokes Equations in the Cloud: 2D Steady Stokes Flow-9/12
The Navier–Stokes equations are crucial because they provide a comprehensive framework to understand and predict fluid motion across many disciplines, from designing vehicles and power stations to studying environmental flows and biological systems, while also representing a deep mathematical challenge

> [Leveraging cloud computing resources is essential for efficiently simulating and visualizing complex fluid dynamics phenomena](https://viadean.notion.site/Solving-and-Visualizing-Navier-Stokes-Equations-in-the-Cloud-2D-Steady-Stokes-Flow-9-12-21f1ae7b9a3280828cb5c170a2cbc0bb?source=copy_link), specifically focusing on the computational demands of solving the Navier-Stokes equations for applications like animating particle traces in 2D steady Stokes flow.

## :clapper:Animated result
#### particle traces in a 2D steady Stokes flow

<iframe width="760" height="428" src="https://www.youtube.com/embed/TfOxlnzXTv0" title="particle traces in a 2D steady Stokes flow" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe>

## Latest update
<iframe src="https://viadean.notion.site/ebd/21f1ae7b9a3280828cb5c170a2cbc0bb" width="100%" height="600" frameborder="0" allowfullscreen />