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Compute

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Numerical Analysis of Coupled Problems

2021-11-03

HT2021, 7.5 ECTS

Objective

The course discusses numerical methods about coupled problems, where different mathematical models for different physics are coupled along an interface. Examples are ocean-atmosphere interaction, fluid-structure interaction in wind turbines or airplane wings, or the interaction of bloodflow and artery walls. In the course, we discuss different ways of coupling models, both on the continuous and the discrete level. As particular examples, we focus on thermal and mechanical interactions, both steady and unsteady. The coupling typically leads to iterative processes, such as the Dirichlet-Neumann iteration, whose convergence behavior will be discussed in detail. A particular focus is on aspects of time integration of coupled problems where the underlying processes act on different time scales.

Personnel

Course organiser: Philipp Birken

Teacher: Philipp Birken

Pre-requisites/requirements

  • Multidimensional analysis, Linear algebra, Basic Programming, one course in Numerical analysis
  • Standard desktop computer/laptop with internet connection
  • It is typically not possible to admit MSc students to COMPUTE courses.

Dates

The course will start on 3 November 2021 and run until 15 January 2022.

First lecture: 3 November, 10:15 - 12:00

Registration

Registration is now closed.

Registration closes: 24th October 2021 (firm)


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