Fluid Simulation Using Grid-Based Method

This Python script simulates fluid dynamics using a grid-based method. It uses the Navier-Stokes equations for fluid motion and the advection-diffusion equation for density.

Diffuse Simulation

Lagrangian versus Eulerian

Fluid with High Viscocity - Honey High intensity

Fluid with Low Viscocity - Gas State

Requirements

• Python 3.x
• NumPy
• Matplotlib
• IPywidgets

How to Run

1. Install the required libraries if you haven't already:

   pip install numpy matplotlib ipywidgets

2. Download the Python script main.py.

3. Run the script using Python:

   python main.py

4. Once the script is running, an interactive widget will appear. Adjust the viscosity and diffusion parameters using the sliders to observe different fluid behaviors.

Explanation

• The script initializes parameters such as grid size, time step, diffusion, and viscosity.

• It defines functions for initializing grids, setting boundaries, solving linear equations, and simulating diffusion, advection, and projection.

• The update function is called in each animation frame to update the density and velocity fields based on the current parameters.

• The simulation is visualized using Matplotlib with density and velocity grids displayed in separate subplots.

• The interactive widget allows users to adjust viscosity and diffusion parameters in real-time to observe their effects on the fluid simulation.

• The figure title is set to "Fluid Simulation" to provide a clear visualization window.