Update README.md

README.md

 # CompressibleTurbulenceGenerator
 
-pyTurbulence is a Python package for generating synthetic compressible turbulent fields for Direct Numerical Simulation (DNS) based on the method of Ristorcelli and Blaisdell. This package provides tools to generate velocity, pressure, and thermodynamic fields, as well as to compute and plot the energy spectrum of the generated turbulence.
+pyTurbulence is a Python package for generating synthetic compressible turbulent fields for Direct Numerical Simulation (DNS) based on the method of Ristorcelli and Blaisdell. This package provides tools to generate velocity (solenoidal and dilatational), pressure, and thermodynamic fields, as well as to compute and plot the energy spectrum of the generated turbulence.
 
 TODO:
-- Add dilatational velocity fluctuations
+- Verification of the implementation of the dilatational velocity 
 
 ![alt text](docs/spectrum.png) ![alt text](docs/u.png)
 
@@ -11,6 +11,7 @@ TODO:
 
 - Generate solenoidal velocity fields using Kraichnan's method, improved for mass conservation by Saad.
 - Compute incompressible pressure fluctuations using the method of Ristorcelli & Blaisdell.
+- Compute the dilatational velocity field and combine it to the solenoidal velocity
 - Compute thermodynamic fields (density, pressure, temperature) from the generated velocity and pressure fields.
 - Plot the energy spectrum of the generated turbulence.