“…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%
“…Nevertheless, it is also extensively used in the context of finite element method (FEM) [9,41,74,119,134,147,231].…”
Section: Fixed Discretization Methodsmentioning
confidence: 99%
“…In the work written by Cervone et al [41], a multilevel VOF is proposed with the aim of reducing the discontinuity of the interface, leading to a better resolution for the breakup and coalescence. The VOF method is coupled to a FEM for the NS equations that is solved on the coarser discretization, and the storage of the color function data is performed only on the interface cells.…”
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
“…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%
“…Nevertheless, it is also extensively used in the context of finite element method (FEM) [9,41,74,119,134,147,231].…”
Section: Fixed Discretization Methodsmentioning
confidence: 99%
“…In the work written by Cervone et al [41], a multilevel VOF is proposed with the aim of reducing the discontinuity of the interface, leading to a better resolution for the breakup and coalescence. The VOF method is coupled to a FEM for the NS equations that is solved on the coarser discretization, and the storage of the color function data is performed only on the interface cells.…”
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
“…More recently, direct numerical simulations (DNS) of two-phase flow have seen the introduction of a finer grid for interface representation [20,21,14,22]. In general, the mesh used for surface tension calculations requires high resolution and the introduction of an auxiliary mesh becomes necessary to overcome some wellknown limitations of VOF [23,24] and LS methods [25,26].…”
Section: Introductionmentioning
confidence: 99%
“…In order to assess the reliability and robustness of the method we consider several kinematic simulations of circular/ spherical fluid bodies that are deformed and stretched in given velocity fields with non-uniform vorticity. The multilevel approach has been also implemented in a finite element solver of the Navier-Stokes equations in axisymmetric geometry, for a more precise calculation of the interface geometrical properties and of the singular capillary force [22].…”
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