The Development of a Free Surface Capturing Approach for Multidimensional Free Surface Flows in Closed Containers

Kelecy, Franklyn J.; Pletcher, Richard H.

doi:10.1006/jcph.1997.5847

Cited by 101 publications

(97 citation statements)

References 35 publications

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“…Some further references include the work Brackbill et al (1992) remarkable by its "continuum surface force" (CSF) approach proposed to include the surface tension into the right-hand side of momentum equation (see also Liovic et al (2002)) and the paper Lafaurie et al (1994) where the alternative "continuum surface stress" method was proposed within the finite volume framework (see also Wu et al (1998) for the implementation of the latter method in the combination with finite elements). The VOF interface-capturing method has been exploited in the absence of surface tension effect also in Kawarada & Suito (1997), Kelecy & Pletcher (1997), Puckett et al (1997), Aliabadi & Tezduyar (2000).…”

Section: Introductionmentioning

confidence: 99%

Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

Smolianski

2005

Int. J. Numer. Meth. Fluids

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The present work is devoted to the study on unsteady flows of two immiscible viscous fluids separated by free moving interface. Our goal is to elaborate a unified strategy for numerical modeling of twofluid interfacial flows, having in mind possible interface topology changes (like merger or break-up) and realistically wide ranges for physical parameters of the problem. The proposed computational approach essentially relies on three basic components: the finite element method for spatial approximation, the operator-splitting for temporal discretization and the level-set method for interface representation. We show that the finite element implementation of the level-set approach brings some additional benefits as compared to the standard, finite difference level-set realizations. In particular, the use of finite elements permits to localize the interface precisely, without introducing any artificial parameters like the interface thickness; it also allows to maintain the second-order accuracy of the interface normal, curvature and mass conservation. The operator-splitting makes it possible to separate all major difficulties of the problem and enables us to implement the equal-order interpolation for the velocity and pressure. Diverse numerical examples including simulations of bubble dynamics, bifurcating jet flow and Rayleigh-Taylor instability are presented to validate the computational method.

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Section: Introductionmentioning

confidence: 99%

Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

Smolianski

2005

Int. J. Numer. Meth. Fluids

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“…By (14)- (15), (16) and it follows that p(x, t) = P . In conclusion, if the initial velocity and pressure are uniform, then the pressure is invariant under (9).…”

Section: Exemplificationmentioning

confidence: 93%

“…For examples of interface capturing see, for instance, Refs. 6,16,20 . A common objection to conservative interface capturing is the occurrence of so-called pressure oscillations.…”

Section: Introductionmentioning

confidence: 99%

A Pressure-Invariant and Conservative Method for Two-Fluid Flows

Brummelen

Koren

2003

16th AIAA Computational Fluid Dynamics Conference

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C e n t r u m v o o r W i s k u n d e e n I n f o r m a t i c a MAS Modelling, Analysis and Simulation Modelling, Analysis and SimulationIn this work we show that these pressure oscillations are induced by the loss of a pressure-invariance property under discretization, and we introduce a non-oscillatory conservative method for barotropic two-fluid flows. The conservative formulation renders the two-fluid flow problem suitable to treatment by a Godunov-type method. We present a modified Osher scheme for the two-fluid flow problem. Numerical results are presented for a translatinginterface test case and a shock/interface-collision test case. ABSTRACTDiscretizations of two-fluid flow problems in conservative formulation generally exhibit pressure oscillations. In this work we show that these pressure oscillations are induced by the loss of a pressure-invariance property under discretization, and we introduce a non-oscillatory conservative method for barotropic two-fluid flows. The conservative formulation renders the two-fluid flow problem suitable to treatment by a Godunov-type method. We present a modified Osher scheme for the two-fluid flow problem. Numerical results are presented for a translating-interface test case and a shock/interface-collision test case.

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“…The tracking and reconstruction of free surfaces, however, remains complicated and difficult, especially in three dimensions [17,13]. More recently, another approach, referred to as the surface-capturing method, has been developed for free surface flows in closed containers [7] initially in the context of aerospace engineering. This method views the free surface as a contact discontinuity in the density field.…”

Section: Clash -Evk3-ct-2001-00058mentioning

confidence: 99%

“…A powerful numerical tool is required for handling arbitrarily shaped interfaces naturally. Many numerical approaches are available for studying flows of immiscible fluids with interfaces (e.g., the level set method [1,2], the density function method [3], a front-tracking method [4], the smoothed particle hydrodynamics (SPH) method [5], the volume-of-fluid (VoF) method, a coupled level set and VoF method [6] and the free surface capturing approach [7]). …”

Section: Introductionmentioning

confidence: 99%

Estudo do Galgamento de Estruturas Marítimas utilizando um Modelo Numérico baseado na Teoria da Onda em Condições de Água pouco Profunda

Reis¹,

Neves²

2010

RGCI

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The main objective of Workpackage 5 is to use numerical simulation of wave overtopping in order to solve the problem of suspected scale effects. A second, related, objective is to improve existing codes in such a way as they are able to simulate wave overtopping in a reliable way. The final, single, objective is to numerically model long waves on the shallow foreshore at Petten in order to understand the phenomenon of long waves and their effect on overtopping. This report deals with the work undertaken towards the first two objectives, the simulations undertaken for objective 3 are the subject of a separate report entitled "Influence of low-frequency waves on wave overtopping" by M.R.A. van Gent and C.C. Giarrusso and published by WL | Delft hydraulics in November 2003.Realistic simulations of wave overtopping require numerical methods which are able accurately to simulate the shoaling, breaking and possible overturning of waves prior to their impact on the seawall. It is a further requirement that the simulation continues after impact, modelling the formation of the overtopping jet and the reflection of the wave. The research groups at Manchester Metropolitan University (MMU) and the University of Gent (UGent) have been working in parallel on the development of such numerical codes. The MMU code, AMAZON-SC, is a numerical wave flume based on the free surface capturing approach. While the UGent code, LVOF, is a numerical wave basin based on the volume of fluid approach. This report describes the progress of these numerical methods, in order to address the first two objectives of Workpackage 5. Their application to various cases, is also discussed, including: a test problem involving wave overtopping of a smooth sea-dike, wave overtopping at Samphire Hoe and an investigation of scale effects on rough impermeable structures.The Report begins with a general introduction, followed by a section describing AMAZON-SC (the MMU code), a section describing LVOF (the UGent code) and then some general conclusions.

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The Development of a Free Surface Capturing Approach for Multidimensional Free Surface Flows in Closed Containers

Cited by 101 publications

References 35 publications

Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

Finite-element/level-set/operator-splitting (FELSOS) approach for computing two-fluid unsteady flows with free moving interfaces

A Pressure-Invariant and Conservative Method for Two-Fluid Flows

Estudo do Galgamento de Estruturas Marítimas utilizando um Modelo Numérico baseado na Teoria da Onda em Condições de Água pouco Profunda

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