An oriented particle level set method based on surface coordinates

Vartdal, Magnus; Bøckmann, Arne

doi:10.1016/j.jcp.2013.05.044

Cited by 8 publications

(4 citation statements)

References 32 publications

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“…The location of the particles is regularized through a remeshing stage. The method is used for capturing interfaces under pure advection and curvatureinduced motion, see Ianniello and Di Mascio [110], and Vartdal and Bockmann [222] as additional examples.…”

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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“…Even though the PLS method applies Lagrangian particles to correct interfaces, it still has two main drawbacks: long time calculation caused by a large number of particles and the complicated reseeding of particles. Many improvements that focused on particle modification have been suggested and these researcher also improved the randomization and artificialness of the particles modification [23,45,47].…”

Section: Motivation Of One-layer Particles Level Methodsmentioning

confidence: 99%

“…Conservation improvement lies in the correction of interfaces by escaped Lagrangian particles. Even though there are several wide applications [39][40][41][42][43][44][45][46][47][48], the PLS method still has complicated reseeding of particles, the method is also based on various artificial tuning. Thus, the final results can vary to the sensitivity of different selections.…”

Section: Introductionmentioning

confidence: 99%

One-layer particle level set method

et al. 2018

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One-layer particle level set (OPLS) has been developed by using Lagrangian particles that are employed to correct both advection and re-initialization procedures of the level set function. In which, a level set function is utilized to smooth physical properties of the interface, while onelayer Lagrangian particles are used to track the interface directly. This method exhibits excellent mass conservation properties compared to the LS method. As a special aspect, the OPLS method enables management of merging and stretching of interface in an effective way. This capability is similar to the particle level set (PLS) method. However, the new approach of the OPLS method offers a more straightforward technique. This approach is validated with classical benchmark test cases, such as the long term advection of a circle, rotation of a slotted disk, single vertex in a box, merging and separating of circle. The results from the proposed method show good agreement with the numerical experiments published results and the OPLS method is verified to be highly reliable and accurate.

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“…Given the impressive accuracy and the simplicity to implement, the particle level set method has been employed in numerous applications [16][17][18], and lots of studies have been performed to make the algorithm better [2,3,13,19,20]. Meanwhile, a few limitations of this method also have been mentioned [2].…”

Section: Introductionmentioning

confidence: 99%