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 boundary conditions, the parameters and the solver settings;
Run the ADR solver; and
Post-process the data in order to visualise results in Paraview/VisIt.
Increase the polynomial order and plot the L2 error vs. the polynomial order in a semilogarithmic scale.
If the solver is compiled with the MPI option, then try running the case in parallel
with mpirun -np 2
.
Change the Projection Operator to DisContinuous to see the same problem running with an HDG solver.
Change one of the boundary conditiosn to a Robin (Mixed) boundary condition of the form ∂u∕∂n = αu + β whith α = 1 and β determined from the exact solution.
$NEK/solvers/ADRSolver/Tests/
where you can find several tests associated to
the ADR solver.