Filament capturing with the Multimaterial Moment-of-Fluid method

Abstract

A novel method for capturing two-dimensional, thin, under-resolved material configurations, known as "filaments," is presented in the context of interface reconstruction. This technique uses a partitioning * Work supported in part by the National Science Foundation under contract DMS 1016381.

Incompressible multiphase flow and encapsulation simulations using the moment‐of‐fluid method

“…The interface is reconstructed and advected based on the volume fraction function information. The benefit of VOF methods is that there have been devised either directionally split advection algorithms Rudman (1998); Scardovelli and Zaleski (2003); Jemison et al (2013); Weymouth and Yue (2010) or unsplit advection algorithms (Liovic et al, 2006;Chenadec and Pitsch, 2013;Jemison et al, 2015) which have excellent volume preservation properties.…”

“…Recently, the moment of fluid (MOF) method (Dyadechko and Shashkov, 2005;Ahn and Shashkov, 2007;Dyadechko and Shashkov, 2008;Jemison et al, 2013Jemison et al, , 2014Jemison et al, , 2015 has been developed. In addition to the volume fraction function used in the VOF method, the MOF method considers the material centroid information in the interface reconstruction process and can be considered a generalization of the VOF method.…”

“…A further advantage of the moment of fluid representation is that the added centroid information enables the MOF method to straightforwardly reconstruct any number of materials, i.e. two or more, in a given cell, conserving volume of each material (Ahn and Shashkov, 2007;Jemison et al, 2015).…”

“…The interface is reconstructed and advected based on the volume fraction function information. The benefit of VOF methods is that there have been devised either directionally split advection algorithms [19][20][21][22] or unsplit advection algorithms [23][24][25], which have excellent volume preservation properties.The level set method uses a smooth distance function to implicitly represent the interface. On the one hand, the level set method is amenable to computing flows with surface tension effects because the distance function is smooth across the interface; on the other hand, volume conservation for the level set method is not guaranteed, even if the level set advection equation is discretized in conservation form.…”

“…The coupled level set and VOF (CLSVOF) method [10,[26][27][28][29] has also been developed. Even though the specific implementations of CLSVOF methods vary, the overriding theme of CLSVOF methods is that they maintain the advantages of both the level set method and the VOF method in simultaneously conserving volume and accurately capturing the interface [26,29].Recently, the moment-of-fluid (MOF) method [21,25,[30][31][32][33][34][35] has been developed. In addition to the volume fraction function used in the VOF method, the MOF method considers the material centroid information in the interface reconstruction process and can be considered a generalization of the VOF method.…”