DFS: Direct Finite Element Simulation

pylon_slice_aoa10.48_iter00_01

DFS is Direct Finite Element Simulation as best possible computational solution of Euler’s equations expressing first principle physics of slightly viscous flow (beyond drag crisis with Reynolds number larger than 500.000):

  • incompressibility,
  • momentum balance Newton’s 2nd law,
  • slip/small friction boundary condition on solid wall.

DFS with slip is parameter-free without need of turbulence and wall models and as such represents Einstein’s ideal model of physics.

DFS with small friction captures the drag crisis transition from no-slip to slip boundary condition at wall.

DFS is best possible as having a residual which a best combination of being small in a weak sense and not too large in a strong least square sense, in the presence of turbulence manifested by the fact that there is no solution with small strong residual.

DFS computes lift and drag of bluff bodies beyond drag crisis depending solely on form with very small contribution from skin friction. DFS solutions are partly turbulent.

DFS makes CFD as computational fluid mechanics computable with todays computer power.

DFS is implemented using FEniCS Unicorn.

Key Presentation of DFS: High-Lift III 2017

How to make CFD truly predictive: DFS

 

1 thought on “DFS: Direct Finite Element Simulation

  1. Pingback: Euler’s Dream Come True: DFS! | The Secret of Flight

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s