The three-dimensional Eulerian–Lagrangian marker and micro cell method for the simulation of free surface flows

Raad, Peter E.; Bidoae, Razvan

doi:10.1016/j.jcp.2004.09.013

Cited by 41 publications

(26 citation statements)

References 41 publications

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“…Further improvements on the method lead to the Simplified MAC (SMAC) method [7]. Most recent developments on the subject were performed with the aim of solving three dimensional free surface fluid flows, where the cell state is updated considering the displacement of the marker particles in the neighborhood of the interfaces [219], for one or more fluids with a free surface [67,153,170], and in the case of viscoplastic fluid flows [155].…”

Section: Fixed Discretization Methodsmentioning

confidence: 99%

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%

Numerical Modeling and Experimental Validation of Free Surface Flow Problems

Cruchaga

Battaglia

Storti

et al. 2014

Arch Computat Methods Eng

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“…Among them, the Eulerian-Lagrangian Marker and Micro Cell (ELMMC) method of Radd and Bidoae [41] consists in tracking the interface between two fluids by massless unconnected markers located at the interface. A fixed Cartesian grid is used to discretize the motion equations.…”

Section: Existing Methodsmentioning

confidence: 99%

Eulerian–Lagrangian multiscale methods for solving scalar equations – Application to incompressible two-phase flows

Vincent

Balmigere

Caltagirone

et al. 2010

Journal of Computational Physics

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“…An analogue of the simple test of Monaghan (1994) is a laboratory experiment in which a rectangular body of water was released by a rapidly lifted dam wall and allowed to flow as a breaking wave into a rectangular tank in which a central column was located (Raad and Bidoae 2005). Measurements of water speed and pressure on the column were taken and have been used by many researchers for validation of their numerical models.…”

Section: Introductionmentioning

confidence: 99%

Dynamic simulation of dam-break scenarios for risk analysis and disaster management

Cleary

Prakash

Mead

et al. 2012

International Journal of Image and Data Fusion

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We explore the effect of dam wall collapse scenarios on the extent and speed of inundation resulting from a dam-break by taking advantage of the easy inclusion of dynamic moving objects in the smoothed particle hydrodynamics (SPH) method. Insight into the degree of practical variation in the flood behaviours that can be generated by both the presence of dam wall fragments and the collapse sequence is investigated via a case study using key locations downstream of the Geheyan Dam, Hubei, China. Scenarios considered include ones initiated by seismic fracture, overtopping and foundation failure. The nature of the scenario determines the rate of increase of area of the breach and therefore the discharge flow rate, which in turn strongly influences the extent and timing of inundation for timescales of up to 1 h and distances of up to 10 km from the dam wall. Beyond this, the influence of the specific scenario declines. The presence of the dam wall fragments in the flow strongly influences the pattern of flooding and can protect some locations and lead to increased flooding in others. The flow in all cases has a complex three-dimensional structure, with multiple hydraulic jumps due to variations in the valley floor gradient and width. The SPH method therefore provides the ability to include realistic variations in the dam-break mechanism, thereby leading to more informed risk analysis planning before a dam-break occurs. The methodology for including these SPH flood predictions into a geographical information system (GIS) is also described. One of the collapse scenarios is used to demonstrate the ability of the GIS to then make predictions of expected flood area and the extent of flooding of villages, towns and key infrastructure. The inclusion of SPH into a GIS framework will allow the modelling to be used for disaster management following a dam-break event.

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The three-dimensional Eulerian–Lagrangian marker and micro cell method for the simulation of free surface flows

Cited by 41 publications

References 41 publications

Numerical Modeling and Experimental Validation of Free Surface Flow Problems

Numerical Modeling and Experimental Validation of Free Surface Flow Problems

Eulerian–Lagrangian multiscale methods for solving scalar equations – Application to incompressible two-phase flows

Dynamic simulation of dam-break scenarios for risk analysis and disaster management

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