1. In my program, the Navier-Stokes Equations are solved on a 3D grid. 2. In this case the Navier Stokes equations reduce to the vorticity-transport equations. 3. I was looking at the article Derivation of the Navier Stokes equations . 4. The flow in these systems is often calculated using the Navier-stokes equation . 5. Such a motion results in vorticity evolution and satisfies Navier-Stokes equations . 6. From lattice gas automata, it is possible to derive the macroscopic Navier-Stokes equations . 7. The Euler equations and Navier Stokes equations both admit shocks, and contact surfaces. 8. The Navier Stokes equations govern the velocity and pressure of a fluid flow. 9. In modeling buoyancy-driven flows, the Navier-Stokes equations are modified using the Boussinesq approximation. 10. The scheme gives accurate results for the incompressible Navier Stokes equations .