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Solutions of selected CFD and multiphysics problems using the FEM, both direct and iterative solvers, preconditioners, employing Firedrake & PETSc

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Genearal Description

All the scripts can be used directly on Google-Colab without installing locally Firedrake. Here some numerical experiments are done solving the incompressible Navier-Stokes equations eventually coupling them with other physics.

  1. Incompressible Navier-Stokes equation
  2. Temperature equation
  3. Concentration equation
  4. Multiphase Level-Set coupling i.e. Navier-Stokes + Level Set transport equation + Temperature equation
  5. Magnetohydrodynamic (MHD), that is Navier-Stokes coupled with Maxwell equations

Some Extracts

Solving the MHD problem for a square cavity

sim.mp4

Solving the same problem but with different initial conditions, with a smaller timestep size

Sim.mp4

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Solutions of selected CFD and multiphysics problems using the FEM, both direct and iterative solvers, preconditioners, employing Firedrake & PETSc

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