Examples

Simple flows

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

Shear-layer (2D)

Two layers with different velocities

Planar mixing (2D)

Planar mixing layers

Flows with 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

Lid-driven cavity (3D)

Generate a flow caused by a moving lid

Unsteady inflow around multiple actuator disks

Multi-actuator (2D)

With a temperature equation

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

Rayleigh-Taylor instability (3D)

Convection generated by a temperature gradient between hot and cold fluids

Neural network closure models

Filter analysis

Compare discrete filters and their properties with DNS data

CNN closure models

Compare CNN closure models for different filters, grid sizes, and projection orders

Symmetry-preserving closure models

Train group equivariant CNNs and compare to normal CNNs