Examples gallery

Here is a gallery of commented example simulations. The outputs are generated with Literate.jl and displayed inline. Copy-pasteable code is available at the bottom of each example. The raw Julia source scripts can be found in the examples folder.

Periodic box

Decaying turbulence (2D)

Decaying turbulence in a periodic 2D-box

Decaying turbulence (3D)

Decaying turbulence in a periodic 3D-box

Taylor-Green vortex (2D)

Decaying vortex structures in a periodic 2D-box

Taylor-Green vortex (3D)

Decaying vortex structures in a periodic 3D-box

Kolmogorov flow (2D)

Initiate a flow through a sinusoidal force

Mixed boundary conditions

Actuator (2D)

Unsteady inflow around an actuator disk

Actuator (3D)

Unsteady inflow around an actuator disk

Backward facing step (2D)

Flow past a backward facing step

Backward facing step (3D)

Flow past a backward facing step

Lid-driven cavity (2D)

Generate a flow caused by a moving lid

Steady lid-driven cavity (2D)

Solve for a steady state with Newton's method

Multiple actuators (2D)

Unsteady inflow around multiple actuator disks

Turbulent channel flow (3D)

Turbulence in a periodic channel with two walls

With temperature field

Rayleigh-Bénard convection (2D)

Convection generated by a temperature gradient between a hot and a cold plate

Rayleigh-Bénard convection (3D)

Convection generated by a temperature gradient between a hot and a cold plate

Rayleigh-Taylor instability (2D)

Convection generated by a temperature gradient between hot and cold fluids

Reduced order models

Dipole + POD (2D)

Fit a reduced-order model to two interacting vortices

Differentiability

Differentiating through the solver

Compute gradients with Zygote and Enzyme