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A front remeshing technique for a Lagrangian description of moving interfaces in two‐fluid flows
Author(s) -
Cruchaga Marcela,
Celentano Diego,
Breitkopf Piotr,
Villon Pierre,
Rassineux Alain
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1616
Subject(s) - discontinuity (linguistics) , interface (matter) , compressibility , lagrangian , curvature , work (physics) , front (military) , computer science , position (finance) , representation (politics) , mathematics , volume of fluid method , incompressible flow , mechanics , mathematical optimization , geometry , mathematical analysis , physics , engineering , flow (mathematics) , mechanical engineering , finance , bubble , maximum bubble pressure method , politics , political science , law , economics
The numerical analysis of two‐fluid flows involves the treatment of a discontinuity that appears at the separating interface. Classical Lagrangian schemes applied to update the front position between two immiscible incompressible fluids have been long recognized to provide a sharp representation of the interface. However, the main drawback of these approaches is the progressive distortion in the distribution of the markers used to identify the material front. To avoid this problem, an interface remeshing algorithm based on the diffuse approximation of the interface curvature is proposed in this work. In addition, the remeshed front is enforced to preserve the global volume. These new aspects are incorporated in an existing fluid dynamics formulation for the analysis of two‐fluid flows problems. The resulting formulation is called in this work as the moving Lagrangian interface remeshing technique (MLIRT). Copyright © 2005 John Wiley & Sons, Ltd.