Partitioned analysis for coupled mechanical systems

Felippa, Carlos A.; Geers, Thomas L.

doi:10.1108/eb023730

Cited by 159 publications

(218 citation statements)

References 17 publications

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“…This results in a large system of generally nonlinear coupled equations which is often solved with Newton iterations [21 ] with suitable preconditioning for the different blocks in the resulting linear systems. In a partitioned simulation, however, the equations of each subproblem are solved separately with a code that has been developed specifically for that kind of equations [22]. A coupling algorithm incorporates the interaction between the subproblems, often by performing iterations between the subproblems.…”

Section: Introductionmentioning

confidence: 99%

Partitioned simulation of the interaction between an elastic structure and free surface flow

Degroote

Souto-Iglesias

Paepegem

et al. 2010

Computer Methods in Applied Mechanics and Engineering

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ARTICLE INFO ABSTRACT Keywords:Fluid-structure interaction Partitioned Free surface Volume-of-fluid Rolling tank Impact IQN-ILS Aitken relaxationCurrently, the interaction between free surface flow and an elastic structure is simulated with monolithic codes which calcúlate the deformation of the structure and the liquid-gas flow simultaneously. In this work, this interaction is calculated in a partitioned way with a sepárate flow solver and a sepárate structural solver using the interface quasi-Newton algorithm with approximation for the inverse of the Jacobian from a leastsquares model (IQN-ILS). The interaction between an elastic beam and a sloshing liquid in a rolling tank is calculated and the results agree well with experimental data. Subsequently, the impact of both a rigid cylinder and a flexible composite cylinder on a water surface is simulated to assess the effect of slamming on the components of certain wave-energy converters. The impact pressure on the bottom of the rigid cylinder is nearly twice as high as on the flexible cylinder, which emphasizes the need for fluid-structure interaction calculations in the design process of these wave-energy converters. For both the rolling tank simulations and the impact simulations, grid refinement is performed and the IQN-ILS algorithm requires the same number of iterations on each grid. The simulations on the coarse grid are also executed using Gauss-Seidel coupling iterations with Aitken relaxation which requires significantly more coupling iterations per time step.

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Section: Introductionmentioning

confidence: 99%

Partitioned simulation of the interaction between an elastic structure and free surface flow

Degroote

Souto-Iglesias

Paepegem

et al. 2010

Computer Methods in Applied Mechanics and Engineering

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“…A detailed study of the performance and stability characteristics of the present level-set formulation is presented by Mourad et al [17]. Details regarding the advantages, applications and numerical stability characteristics of operator-split schemes can be found in [43,44,45] and references therein.…”

Section: Numerical Examplesmentioning

confidence: 99%

Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics

Mourad

Garikipati

2006

Computer Methods in Applied Mechanics and Engineering

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This work is based upon a coupled, lattice-based continuum formulation that was previously applied to problems involving strong coupling between mechanics and mass transport; e.g. diffusional creep and electromigration [1, 2]. Here we discuss an enhancement of this formulation to account for migrating grain boundaries. The level set method is used to model grain-boundary migration in an Eulerian framework where a grain boundary is represented as the zero level set of an evolving higherdimensional function. This approach can easily be generalized to model other problems involving migrating interfaces; e.g. void evolution and freesurface morphology evolution. The level-set equation is recast in a remarkably simple form which obviates the need for spatial stabilization techniques. This simplified level-set formulation makes use of velocity extension and field re-initialization techniques. In addition, a least-squares smoothing technique is used to compute the local curvature of a grain boundary directly from the level-set field without resorting to higherorder interpolation. A notable feature is that the coupling between mass transport, mechanics and grain-boundary migration is fully accounted for. The complexities associated with this coupling are highlighted and the operator-split algorithm used to solve the coupled equations is described.

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“…The fluid-structure coupling is performed by an implicit interfield iteration algorithm [23], based on a Block Gauss-Seidel method [24]. For the i-th iteration of the current time step n, let , , , , , be the vectors of the velocity potential, free surface elevation and pressure in the corresponding nodes of the fluid, , the vector containing the three components of the displacement of the nodes of the seals structure, with , the vector of the k-th component of the displacement field, and , the vector of the elevation field of the seal nodes, then the fluid-structure interaction algorithm, can be written as:…”

Section: Free Surface-flexible Seals Coupling Algorithmmentioning

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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Partitioned analysis for coupled mechanical systems

Cited by 159 publications

References 17 publications

Partitioned simulation of the interaction between an elastic structure and free surface flow

Partitioned simulation of the interaction between an elastic structure and free surface flow

Advances in the numerical treatment of grain-boundary migration: Coupling with mass transport and mechanics

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

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