ODDLS: A new unstructured mesh finite element method for the analysis of free surface flow problems

García-Espinosa, Julio; Valls, Albert Albareda; Oñate, Eugenio

doi:10.1002/nme.2348

Cited by 15 publications

(7 citation statements)

References 24 publications

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“…In [88], García-Espinosa et al presented a finite element method based on the FInite Calculus (FIC) for solving free surface flows, introducing a domain decomposition strategy combined with the level set method for capturing the interface position. The Overlapping Domain Decomposition Level Set (ODDLS) was proposed for diminishing the drawbacks due to the discontinuity of the fluid properties across the interface: the domain is split in two overlapping subdomains, such that boundary conditions over the interface can be applied more accurately.…”

Section: Fixed Discretization Methodsmentioning

confidence: 99%

“…Such techniques are extensively used to describe moving interfaces as well as many other related formulations [5,9,36,41,43,47,49,57,60,62,70,71,74,86,88,90,102,115,119,129,131,138,146,147,159,212,214,216,220].…”

Section: Fixed Discretization Methodsmentioning

confidence: 99%

“…The collapse of a liquid column has been previously studied by Martin and Moyce [149] including an extensive experimental report. Due to this, many authors have numerically analyzed several configurations of such a problem; see as examples [48,59,61,63,64,74,82,88,111,114,118,123,134,145,147,165]. The collapse of a liquid column, also referred as dam break problem in many works, is an interesting case of analysis to evaluate long term behaviors.…”

Section: Numerical Examplesmentioning

confidence: 98%

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Numerical Modeling and Experimental Validation of Free Surface Flow Problems

Cruchaga

Battaglia

Storti

et al. 2014

Arch Computat Methods Eng

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In this paper we present a summary of numerical methods for solving free surface and two fluid flow problems. We will focus the attention on level set formulations extensively used in the context of the finite element method. In particular, numerical developments to achieve accurate solutions are described. Specific topics of the algorithms, like mass preservation and interface redefinition, are evaluated. To illustrate these aspects, numerical strategies previously developed are applied to the solution of a sloshing and a water column collapse problems. To assess the capabilities of these techniques, the numerical results are compared against each other and with experimental data. Considering these aspects, the present work is aimed to outline some well reported aspects of level set-like formulations.Fil: Cruchaga, Marcela. Universidad de Santiago de Chile; ChileFil: Battaglia, Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones En Metodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones En Metodos Computacionales; ArgentinaFil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones En Metodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones En Metodos Computacionales; ArgentinaFil: D'elia, Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones En Metodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones En Metodos Computacionales; Argentin

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Section: Fixed Discretization Methodsmentioning

confidence: 99%

Section: Fixed Discretization Methodsmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 98%

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Numerical Modeling and Experimental Validation of Free Surface Flow Problems

Cruchaga

Battaglia

Storti

et al. 2014

Arch Computat Methods Eng

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“…First, we suppose we wish to solve the two-fluid Navier-Stokes equations using a Dirichlet Neuman domain decomposition approach. Contrary to what is done in [19] in our model, we suppose no overlapping between the subdomains. For the fluid Neuman boundary conditions are used and for the air Dirichlet conditions are imposed.…”

Section: Simplified Eulerian Free Surface Modelmentioning

confidence: 77%

A free surface finite element model for low Froude number mould filling problems on fixed meshes

Owen

Codina

2011

Numerical Methods in Fluids

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The simulation of low Froude number mould filling problems on fixed meshes presents significant difficulties. As the Froude number decreases, the coupling between the position of the interface and the resulting flow field increases. The usual two-phase flow model provides poor results for such flow. In order to overcome the difficulties, a free surface model that applies boundary conditions at the interface accurately is used. Moreover, the use of wall laws on curved boundaries also fails in the case of low Froude number flows. To solve this second problem, we combine wall laws with ‘do nothing’ boundary conditions. A special feature of our approach is that ‘do nothing’ boundary conditions are only applied in\ud the normal direction. These two key ingredients together with the Level Set method allow us to simulate three-dimensional mould filling problems borrowed directly from the foundry.Peer ReviewedPostprint (published version

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“…In [2] Löhner et al developed a FEM capable of tracking violent free surface flows interacting with objects. Also García-Espinosa et al [3] developed a new technique to track complex free surface shapes. More recently, in [4], an application for the calculation of the flow about a SES in still water, using a commercial Volume of Fluid model, has been presented.…”

Section: Introductionmentioning

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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ODDLS: A new unstructured mesh finite element method for the analysis of free surface flow problems

Cited by 15 publications

References 24 publications

Numerical Modeling and Experimental Validation of Free Surface Flow Problems

Numerical Modeling and Experimental Validation of Free Surface Flow Problems

A free surface finite element model for low Froude number mould filling problems on fixed meshes

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

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