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Zbl 0948.76046
Blom, Frederic J.
A monolithical fluid-structure interaction algorithm applied to the piston problem. (English)
[J] Comput. Methods Appl. Mech. Eng. 167, No.3-4, 369-391 (1998). ISSN 0045-7825

Author's summary: We present an investigation of time-marching computational fluid-structure interaction algorithms. The analysis is applied to the piston problem, where attention is focussed on the time integration of coupling algorithms. The staggered scheme is first investigated, where fluid and structure are alternately integrated by separate solvers in a predictor-corrector fashion. This algorithm suffers from a time lag between the integration of the fluid and structure. The influence of the time lag is investigated by the comparison of different predictions for the structure. Then we introduce a novel monolithical algorithm in order to annihilate the time lag. This algorithm integrates fluid, structure and interaction as a single system by an implicit algorithm. Numerical results are obtained for linear acoustic as well as nonlinear Euler equations of gas dynamics.

MSC 2000:: *76M12 Finite volume methods
76N15 Gas dynamics, general
74F10 Fluid-solid interactions

Keywords: linear acoustic equations; time-marching algorithms; piston problem; monolithical algorithm; implicit algorithm; Euler equations

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Zentralblatt MATH Berlin [Germany]