Numerical simulation of the dynamics of boats by a variational inequality approach

  • Luca Formaggia
  • Edie Miglio
  • Andrea Mola
  • Anna Scotti
Conference paper
Part of the Springer Optimization and Its Applications book series (SOIA, volume 33)


In this paper we present some recent numerical studies on fluid-structure interaction problems in the presence of free surface flow. We consider the dynamics of a rowing boat, simulated as a rigid body. We focus on an approach based on formulating the floating body problem as an inequality constraint on the water elevation. A splitting procedure is used to develop an efficient numerical scheme where the inequality constraint is imposed only on a wave like equation representing an hydrostatic approximation of the hydrodynamic equations. Numerical tests demostrate the effectiveness of the proposed procedure.


Wave Pattern Pitching Motion Structure Interaction Problem Hydrostatic Approximation Uzawa Algorithm 


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The authors wish to thank Filippi Lido s.r.l for the financial and technical support and in particular Ing. Alessandro Placido for having introduced them to the wonderful world of rowing. A thank also to Andrea Paradiso for making available some results from his master theses.

The authors want to remember the late Fausto Saleri, who has largely contributed to the development of some of the ideas here illustrated, before leaving us untimely.


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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  • Luca Formaggia
    • 1
  • Edie Miglio
    • 1
  • Andrea Mola
    • 1
  • Anna Scotti
    • 1
  1. 1.MOX, Mathematics DepartmentPolitecnico di MilanoMilanoItaly

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