Flow around the cylinder 2D single level

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Flow around the cylinder in a channel 2D

This example looks at the flow though a 2D channel with a cylinder placed into it.

Problem description

The Poiseuille flow is the fully developed laminar flow between two parallel plates induced by a constant pressure drop in a channel of length L. We place a cylinder into that channel as a disturbance and look at the flow around this cylinder. In general, the flow can be induced by any of the following way:

  • Defining pressure at inlet and outlet of the channel.
  • Defining velocity at inlet and pressure at outlet of the channel.
  • Using pressure gradient i.e. pressure drop/length as a external force.

Here, the flow is induced by pressure boundary conditions at inlet (west) and outlet (east) boundaries.

The pressure drop along the channel per unit length is where,

  • - the maximum fluid velocity at the channel center axis,
  • - the fluid density and
  • - kinematic viscosity.

The Reynolds number is defined as where, - the mean velocity. For the parabolic velocity profile, the mean velocity can be computed with .


Tracking relevant quantities gives us the following visualizations:

Lift coefficient of the cylinder over time: Lift_Evolution

Drag coefficient of the cylinder over time: Lift_Evolution

Pressure along the length of the channel: Pressure_Centerline

Pressure coefficient over the cylinder surface: Pressure_Coefficient

Pressure difference between stagnation in front of cylinder and back of the cylinder over time: Pressure_Coefficient

The X-velocity component along the length of the channel: VelX_Centerline

The Y-velocity component along the length of the channel: VelY_Centerline

A Fourier transform of the flow field: Flow_Spectrum

To create these plots, run python plot_track.py to create the plots. Before running the plot script, open 'plot_track.py' and update path to Gleaner script in 'glrPath'. Download Gleaner script using hg clone https://geb.inf.tu-dresden.de/hg/gleaner

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Documentation generated by FORD on 2022-11-19T00:45:41.304241