A piecewise linear approach to volume tracking a triple point

An approach to volume tracking three materials is presented that, in contrast with the so-called ‘onion-skin’ methodology, assumes the existence of a ‘triple point’ at which two interfaces between three materials intersect. The reconstruction of any cell that contains three materials is iterative: the approach is to locate a point of intersection between two interfaces that minimizes a given error expression. The advantages and limitations of the algorithm are presented via a series of advection tests that demonstrate that triple points can be reconstructed and advected just as well as simpler interfaces in typical applications. Copyright © 2006 John Wiley & Sons, Ltd.

[1]  M. Rudman.  INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, VOL. 24, 671–691 (1997) VOLUME-TRACKING METHODS FOR INTERFACIAL FLOW CALCULATIONS , 2022 .

[2]  David J. Benson,et al.  Volume of fluid interface reconstruction methods for multi - material problems , 2002 .

[3]  J. Li,et al.  Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method , 2000 .

[4]  David J. Benson,et al.  Eulerian finite element methods for the micromechanics of heterogeneous materials: Dynamic prioritization of material interfaces , 1998 .

[5]  Costas E. Synolakis,et al.  Runup and rundown generated by three-dimensional sliding masses , 2005, Journal of Fluid Mechanics.

[6]  W. Press,et al.  Numerical Recipes in C++: The Art of Scientific Computing (2nd edn)1 Numerical Recipes Example Book (C++) (2nd edn)2 Numerical Recipes Multi-Language Code CD ROM with LINUX or UNIX Single-Screen License Revised Version3 , 2003 .

[7]  Markus Bussmann,et al.  Modeling the splash of a droplet impacting a solid surface , 2000 .

[8]  P. Woodward,et al.  SLIC (Simple Line Interface Calculation) , 1976 .

[9]  E. Puckett,et al.  Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces , 2013 .

[10]  S. Zaleski,et al.  DIRECT NUMERICAL SIMULATION OF FREE-SURFACE AND INTERFACIAL FLOW , 1999 .

[11]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[12]  J. López,et al.  A volume of fluid method based on multidimensional advection and spline interface reconstruction , 2004 .

[13]  L YoungsD,et al.  Time-dependent multi-material flow with large fluid distortion. , 1982 .