Stable partitioned schemes for fluid-structure interaction based on consistent added mass approximation

Dimakopoulos, A. and de Lataillade, T. and Kees, C. (2021) Stable partitioned schemes for fluid-structure interaction based on consistent added mass approximation. In: SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS21), 21-24 June 2021, Online.

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Coupling schemes for fluid structure interaction applications can be distinguished in two broad categories: monolithic schemes and partitioned schemes (explicit or implicit). In this work, we considered that the explicit partitioned schemes are the most promising coupling technique for interfacing two independent and external fluid and solid dynamics solvers. This technique has nevertheless inherent numerical stability issues, caused by the lag in the fluid and solid dynamic solutions in partitioned schemes, which leads into calculation discrepancies in the added mass force. This often leads to unconditionally unstable simulations. We propose a numerical technique that can supress instabilities by estimating and correcting the error in the added mass force calculation. The technique is applied for coupling a fluid solver based on the computational toolkit Proteus ( with the multi-physics simulation engine Chrono ( for solid dynamics. The approach is proven successful by performing verification and validation tests for floating structures, where it is shown that the added mass stabilisation technique is effective only in cases where the partitioned scheme is unstable. Results of an engineering application case is also shown through simulations of a floating wind platform with catenary mooring cables.

Item Type: Conference or Workshop Item (Paper)
Subjects: Water > General
Divisions: Water
Depositing User: Helen Stevenson
Date Deposited: 07 Dec 2021 14:37
Last Modified: 07 Dec 2021 14:37

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