Examples
PyFR includes several test cases to showcase the functionality of the
solver. It is important to note, however, that these examples are all
relatively small 2D simulations and, as such, are not suitable for
scalability or performance studies.

Euler Equations
2D Euler Vortex
Proceed with the following steps to run a parallel 2D Euler vortex
simulation on a structured mesh:

Create a working directory called euler_vortex_2d/

Copy the configuration file
PyFR/examples/euler_vortex_2d/euler_vortex_2d.ini

into
euler_vortex_2d/

Copy the Gmsh file
PyFR/examples/euler_vortex_2d/euler_vortex_2d.msh

into
euler_vortex_2d/

Run pyfr to convert the Gmsh
mesh file into a PyFR mesh file called euler_vortex_2d.pyfrm

:

pyfr import euler_vortex_2d.msh euler_vortex_2d.pyfrm
Run pyfr to partition the PyFR mesh file into two pieces:

pyfr partition 2 euler_vortex_2d.pyfrm .
Run pyfr to solve the Euler equations on the mesh, generating a
series of PyFR solution files called euler_vortex_2d*.pyfrs

:

mpiexec -n 2 pyfr run -b cuda -p euler_vortex_2d.pyfrm euler_vortex_2d.ini
Run pyfr on the solution file euler_vortex_2d-100.0.pyfrs

converting it into an unstructured VTK file called
euler_vortex_2d-100.0.vtu

:

pyfr export euler_vortex_2d.pyfrm euler_vortex_2d-100.0.pyfrs euler_vortex_2d-100.0.vtu
Visualise the unstructured VTK file in Paraview

Colour map of density distribution at 100 time units.

Compressible Navier–Stokes Equations
2D Couette Flow
Proceed with the following steps to run a serial 2D Couette flow
simulation on a mixed unstructured mesh:

Create a working directory called couette_flow_2d/

Copy the configuration file
PyFR/examples/couette_flow_2d/couette_flow_2d.ini

into
couette_flow_2d/

Copy the Gmsh mesh file
PyFR/examples/couette_flow_2d/couette_flow_2d.msh

into
couette_flow_2d/

Run pyfr to covert the Gmsh
mesh file into a PyFR mesh file called couette_flow_2d.pyfrm

:

pyfr import couette_flow_2d.msh couette_flow_2d.pyfrm
Run pyfr to solve the Navier-Stokes equations on the mesh,
generating a series of PyFR solution files called
couette_flow_2d-*.pyfrs

:

pyfr run -b cuda -p couette_flow_2d.pyfrm couette_flow_2d.ini
Run pyfr on the solution file couette_flow_2d-040.pyfrs

converting it into an unstructured VTK file called
couette_flow_2d-040.vtu

:

pyfr export couette_flow_2d.pyfrm couette_flow_2d-040.pyfrs couette_flow_2d-040.vtu
Visualise the unstructured VTK file in Paraview

Colour map of steady-state density distribution.

Incompressible Navier–Stokes Equations
2D Incompressible Cylinder Flow
Proceed with the following steps to run a serial 2D incompressible cylinder
flow simulation on a mixed unstructured mesh:

Create a working directory called inc_cylinder_2d/

Copy the configuration file
PyFR/examples/inc_cylinder_2d/inc_cylinder_2d.ini

into
inc_cylinder_2d/

Copy the compressed Gmsh mesh file
PyFR/examples/inc_cylinder_2d/inc_cylinder_2d.msh.gz

into
inc_cylinder_2d/

Unzip the file and run pyfr to covert the Gmsh
mesh file into a PyFR mesh file called inc_cylinder_2d.pyfrm

:

zcat inc_cylinder_2d.msh.gz | pyfr import -tgmsh - inc_cylinder_2d.pyfrm
Run pyfr to solve the incompressible Navier-Stokes equations on the mesh,
generating a series of PyFR solution files called
inc_cylinder_2d-*.pyfrs

:

pyfr run -b cuda -p inc_cylinder_2d.pyfrm inc_cylinder_2d.ini
Run pyfr on the solution file inc_cylinder_2d-75.00.pyfrs

converting it into an unstructured VTK file called
inc_cylinder_2d-75.00.vtu

:

pyfr export inc_cylinder_2d.pyfrm inc_cylinder_2d-75.00.pyfrs inc_cylinder_2d-75.00.vtu
Visualise the unstructured VTK file in Paraview

Colour map of velocity magnitude distribution at 75 time units.