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Partitioned procedures for the transient solution of coupled aeroelastic problems. I: Model problem, theory and two-dimensional application. (English) Zbl 1067.74521

Summary: In order to predict the dynamic response of a flexible structure in a fluid flow, the equations of motion of the structure and the fluid must be solved simultaneously. In this paper we present several partitioned procedures for time-integrating this coupled problem and discuss their merits in terms of accuracy, stability, heterogeneous computing, I/O transfers, subcycling and parallel processing. All theoretical results are derived for a one-dimensional piston model problem with a compressible flow, because the complete three-dimensional aeroelastic problem is difficult to analyze mathematically. However, the insight gained from the analysis of the coupled piston problem and the conclusions drawn from its numerical investigation are confirmed with the numerical simulation of two-dimensional transient aeroelastic response of a flexible panel in a transonic nonlinear Euler flow regime.

MSC:

74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74S30 Other numerical methods in solid mechanics (MSC2010)
76H05 Transonic flows
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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