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

In: Variational Analysis and Aerospace Engineering

Author

Listed:
  • Luca Formaggia

    (Politecnico di Milano)

  • Edie Miglio

    (Politecnico di Milano)

  • Andrea Mola

    (Politecnico di Milano)

  • Anna Scotti

    (Politecnico di Milano)

Abstract

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.

Suggested Citation

  • Luca Formaggia & Edie Miglio & Andrea Mola & Anna Scotti, 2009. "Numerical simulation of the dynamics of boats by a variational inequality approach," Springer Optimization and Its Applications, in: Variational Analysis and Aerospace Engineering, chapter 0, pages 213-227, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-95857-6_12
    DOI: 10.1007/978-0-387-95857-6_12
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