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Finite Elements in Fluids

M.Sc. Simulation Sciences • M.Sc. Computational Engineering Science • M.Sc. Fundamentals of Mechanical Engineering • WS 2017/18

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General

Notices

The first class on October 11, 2017 will be an organizational meeting.

Lectures

  • 2017.12.06 Lecture 7: Galerkin versus exact stencils and upwinding (2.3.1, 2.3.2), balancing diffusion (2.3.3), stabilized methods for transport problems (2.4).
  • 2017.11.29 Lecture 5: Strong, weak and Galerkin form of advection-diffusion equation (2.1, 2.2).
  • 2017.11.22 Lecture 4: FE implementation (1.5.5).

    Reading: FE Formation of the Linear System slides in L2P

  • 2017.11.15 No lecture; extra exercise.
  • 2017.11.08 Lecture 3: Finite elements (1.5.1), strong and weak forms of Poisson equation (1.5.1, 1.5.2, 1.5.3, 1.5.4), Galerkin form of Poisson equation (1.5.4).
  • 2017.10.25 Lecture 2: Reynolds transport theorem (1.3.4), conservation laws (1.4)
  • 2017.10.18 Lecture 1: introduction; FE history; reference frames (1.3.1, 1.3.2, 1.3.3)

    Reading: Clough2004a.pdf, Zienkiewicz2004a.pdf, Krylov41a.pdf, Williamson80a.pdf (RWTH only)

Exercises

  • 2017.10.11 No exercise in the first week of lectures.

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