Abstract
In the present study we focus on higher order time integration methods applied to fluid-structure interaction (FSI) simulations. It is our opinion that efficiency can be gained by application of higher order Runge-Kutta time integrators even when only engineering levels of accuracy are required.
The fluid and the structure are integrated using implicit, third to fifth order ARK (Additive Runge-Kutta) schemes. In the partitioned simulations, the structure is integrated first and the fluid sequentially. An explicit ARK scheme is used to treat the coupling in a consistent way. The resulting implicit/explicit scheme (IMEX) is tested on a linear piston problem. The IMEX scheme has design order, but may need sub-iterating to obtain a stable solution for large time steps. Results showed that large efficiency gains can be made compared to the popular second order Backward Differentiation Formula (BDF) scheme.
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Zuijlen, S.V., Bijl, H. (2003). Application of Higher Order Runge-Kutta Time Integrators in Partitioned Fluid-Structure Interaction Simulations. In: Benaroya, H., Wei, T.J. (eds) IUTAM Symposium on Integrated Modeling of Fully Coupled Fluid Structure Interactions Using Analysis, Computations and Experiments. Fluid Mechanics and its Applications, vol 75. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0995-9_35
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DOI: https://doi.org/10.1007/978-94-007-0995-9_35
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