Computer solutions of continuum physics problems

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  General

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  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

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• Select topic Topic 1

  Topic 1

  # Laplace equation on unit square problem.
  
    - simple domain/mesh generation
    - define linear and bilinear form
    - see the solution and plot the error
  
• Select topic Topic 2

  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
  
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  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
  
  
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  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)