Finite element solution of free-surface ship-wave problems

Idelsohn, Sergio; Oñate, Eugenio; Sacco, Carlos

doi:10.1002/(sici)1097-0207(19990620)45:5<503::aid-nme570>3.0.co;2-e

Cited by 23 publications

(16 citation statements)

References 24 publications

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“…The streamline derivatives are estimated using a three points upstream and one point downstream differential operator inspired by the work of [16]. The scheme has been conceived to work with unstructured meshes.…”

Section: Free Surface Boundary Conditionmentioning

confidence: 99%

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

García¹,

Capua²,

Serván-Camas³

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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This paper shows the recent work of the authors in the development of a time-domain FEM model for evaluation of the seal dynamics of a surface effect ship. The fluid solver developed for this purpose, uses a potential flow approach along with a stream-line integration of the free surface. The paper focuses on the free surface-structure algorithm that has been developed to allow the simulation of the complex and highly dynamic behavior of the seals in the interface between the air cushion, and the water. The developed fluid-structure interaction solver is based, on one side, on an implicit iteration algorithm, communicating pressure forces and displacements of the seals at memory level and, on the other side, on an innovative wetting and drying scheme able to predict the water action on the seals. The stability of the iterative scheme is improved by means of relaxation, and the convergence is accelerated using Aitken's method. Several validations against experimental results have been carried out to demonstrate the developed algorithm.

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Section: Free Surface Boundary Conditionmentioning

confidence: 99%

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

García¹,

Capua²,

Serván-Camas³

et al. 2015

Computer Methods in Applied Mechanics and Engineering

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“…A review of these difficulties and some solution procedures can be found in [51]. Another successful application of stabilized FEM to free surface wave problems was reported in [52].…”

Section: Finite Calculus Formulation Of Fluid-flow and Free Surface Ementioning

confidence: 99%

“…Idelsohn et al [51] have shown that starting from the stabilized FIC form of the free surface equation allows the identification of a number of stabilized upwinding finite difference schemes traditionally used for solving free surface problems in naval architecture.…”

Section: Finite Calculus Formulation Of Fluid-flow and Free Surface Ementioning

confidence: 99%

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A finite element method for fluid–structure interaction with surface waves using a finite calculus formulation

Oñate

García

2001

Computer Methods in Applied Mechanics and Engineering

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A stabilized semi-implicit fractional step finite element method for solving coupled fluid-structure interaction problems involving free surface waves is presented. The stabilized governing equations for the viscous incompressible fluid and the free surface are derived at a differential level via a finite calculus procedure. A mesh updating technique based on solving a fictitious elastic problem on the moving mesh is described. Examples of the efficiency of the stabilized semi-implicit algorithm for the analysis of fluid-structure interaction problems in totally or partially submerged bodies is presented.

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“…With the continuous growth of computation power and improvement of the numerical models for the solution of partial differential equations, more and more complex ship hydrodynamics problems can be simulated accounting for viscous (and turbulent) flows and moving domain (for boat dynamics). Indeed, in the last two decades, numerical methods based on the solution of complex PDEs, Navier-Stokes (and Euler) equations, have been successfully applied to naval engineering problem (see, e.g., [33,22,1,36,65]) and are, nowadays, standard numerical tools adopted in the design process for ship performance evaluation.…”

Section: Introduction Motivation and Problem Settingmentioning

confidence: 99%

Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization

Lombardi

Parolini

Quarteroni

et al. 2012

Springer Optimization and Its Applications

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The numerical simulation of free-surface flows around sailing boats is a complex topic that addresses multiple mathematical tasks: the correct study of the flow field around a rigid hull, the numerical simulation of the hull dynamics, the deformation of the sails and appendages under transient external conditions like gusts of wind or wave patterns and, overall, the coupling among all these components. In this paper, we present some recent advances that have been achieved in different research topics related to yacht design and performance prediction. In particular, we describe the numerical algorithms that have been developed in the framework of open-source libraries for the simulation of free-surface hydrodynamics and boat dynamics, as well as for the analysis of the fluid-structure interaction between wind and sails. Moreover, an algorithm for shape optimization, based on the solution of the adjoint problem and combined with the Free Form Deformation (FFD) method for the shape parametrization and mesh motion, is presented and discussed. Theoretical and methodological aspects are described and the first preliminary results are reported.

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Finite element solution of free-surface ship-wave problems

Cited by 23 publications

References 24 publications

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

A FEM fluid–structure interaction algorithm for analysis of the seal dynamics of a Surface-Effect Ship

A finite element method for fluid–structure interaction with surface waves using a finite calculus formulation

Numerical Simulation of Sailing Boats: Dynamics, FSI, and Shape Optimization

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