Chapter 5
Summary

You should be now familiar with the following topics:

• Generate a simple mesh in Gmsh and convert it in a Nektar++-compatible format;

• Visualise the mesh in Paraview;

• Setup the initial and boundary conditions, the parameters and the solver settings;

• Run the ADR solver; and

• Post-process the data in order to visualise results in Paraview.

5.1 Additional Exercises

1. Increase the polynomial order and plot the L₂ error vs. the polynomial order in a semilogarithmic scale.

2. Change the projection operator for a fixed polynomial order and look at the error.

3. Increase the time-step for a fixed polynomial order and look at the error.

4. If the solver is compiled with the MPI option, then try running the case in parallel with mpirun -np 2.

5. Change the Projection Operator to Continuous to see the same problem running with a CG solver.

6. Change the solver type to AdvectionDiffusion and CG to change the problem type. You also need to update the AdvectionType to NonConservative.