Section outline

  • General

    Collapse all Expand all

    Lecture syllabus is at https://www.karlin.mff.cuni.cz/~hron/NMMO403/

    Detailed description of each lecture and repository of tutorial codes is accessible at https://gitlab.karlin.mff.cuni.cz/groups/nmmo403

  • Topic 1 

    # Laplace equation on unit square problem.

  - simple domain/mesh generation
  - define linear and bilinear form
  - see the solution and plot the error

  • Topic 2 

    # Time-dependent convection diffusion problem.

  - time-loop and storage of timedependent data
  - different ways how to mark boundary parts for boundary conditons
  - Expression definition by subclassing versus compiled expression

  • Topic 3 

    # Time-dependent convection diffusion with small diffusion coefficient

  - various initial data by UserExpression class
  - SUPG and interior penalty stabilization for Galerkin finite elements

  • Topic 4 

    # Navier-Stokes equation -- flow around cylinder benchmark

- set up more complicated domain and generate mesh
- using mixed finite element spaces for coupled systems
- solving nonlinear problems using `NonlinearVariationalProblem` and `NonlinearVariationalSolver` classes
- reproduce the [flow around cylinder benchmark](http://www.featflow.de/en/benchmarks/cfdbenchmarking/flow/dfg_benchmark1_re20.html)