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A front‐tracking algorithm for accurate representation of surface tension
Author(s) -
Popinet Stéphane,
Zaleski Stéphane
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990730)30:6<775::aid-fld864>3.0.co;2-#
Subject(s) - tracking (education) , front (military) , surface tension , representation (politics) , algorithm , surface (topology) , tension (geology) , geometry , mathematics , computer science , physics , classical mechanics , mechanical engineering , engineering , psychology , pedagogy , quantum mechanics , politics , political science , law , moment (physics)
A front‐tracking algorithm for the solution of the 2D incompressible Navier–Stokes equations with interfaces and surface forces is presented. More particularly, attention is focused on obtaining an accurate description of the surface tension terms and the associated pressure jump. The stationary Laplace solution for a bubble with surface tension is considered. A careful treatment of the pressure gradient terms at the interface allows the reduction of the spurious currents to machine precision. Good results are obtained for the damped oscillations of a capillary wave compared with the initial‐value linear theory. A classical test of Rayleigh–Taylor instability is presented. Copyright © 1999 John Wiley & Sons, Ltd.