The paper gives a survey on relevant topics related to the numerical simulation of coupled fluid-solid problems. Firstly, the corresponding problems are classified according to different possible coupling mechanisms. The modelling of the problems within a continuum mechanical framework are discussed and numerical aspects related to discretization and solution procedures are addressed. Exemplary approaches for these issues are indicated. A variety of numerical examples involving various coupling mechanisms are presented, including a discussion of questions of numerical accuracy and computational efficiency of numerical solution procedures.

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