Incompressible Flows

The incompressible flow uses several tools to solve the incompressible Navier-Stokes equations to study viscid Newtonian fluids. The problems are solved using both continuous and discontinuous spacial discretisation. The members of the group are interested in the following research areas:

  1. High-Reynolds number flows for Fromula 1 applications
  2. Vortex dominated flows
  3. Adaptive steady-state solvers
  4. Direct ans adjoint stability analysis
  5. Transient growth analysis
  6. Biomedical flows

The picture bellow shows the incompressible flow past the front section of a Formula 1 racing car at a Reynolds number of 2.2 × 10^5. Streamlines show the flow trajectory and are coloured by pressure. The simulation has 18 million degrees of freedom at polynomial order P = 3 and uses the spectral vanishing vorticity technique.

Flow past complex geometry front section of a F1 car


The figure bellow presents the flow past a periodic hill at Re=2800 with a polynomial order P=6. To solve this problem a Fourier pseudospectral method is used to exploit the domain symmetries. Excellent agreement with the benchmark results are obtained.

Contours of the magnitude of velocity in a periodic hill simulation of turbulence at Re = 2800.


The following picture presents the merging of co-rotating Batchelor vortices.

Merging Batchelor vortices


Members of the incompressible flow group are also interested in biomedical flows. The following picture shows the mass transport in an intercostal pair.