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A robust, fully adaptive hybrid level-set/front-tracking method for two-phase flows with an accurate surface
 

Summary: A robust, fully adaptive hybrid level-set/front-tracking
method for two-phase flows with an accurate surface
tension computation
Hector D. Ceniceros1, Alexandre M. Roma2, Aristeu Silveira-Neto3,
and Millena M. Villar3,
1 Department of Mathematics, University of California Santa Barbara , CA 93106,
USA.
2 Departamento de Matem´atica Aplicada, Universidade de S~ao Paulo, Caixa Postal
66281, CEP 05311-970, S~ao Paulo-SP, Brasil.
3 Faculdade de Engenharia Mec^anica, Universidade Federal de Uberl^andia, CEP 38400-
902, Uberl^andia-MG, Brasil.
Abstract. We present a variable time step, fully adaptive in space, hybrid method for
the accurate simulation of incompressible two-phase flows in the presence of surface
tension in two dimensions. The method is based on the hybrid level set/front-tracking
approach proposed in [H.D. Ceniceros and A. M. Roma, J. Comput. Phys., 205, 391-
400, 2005 ]. Geometric, interfacial quantities are computed from front-tracking via
the immersed-boundary setting while the signed distance (level set) function, which
is evaluated fast and to machine precision, is used as a fluid indicator. The surface
tension force is obtained by employing the mixed Eulerian/Lagrangian representation
introduced in [S. Shin, S.I. Abdel-Khalik, V. Daru, and D. Juric, J. Comput. Phys., 203,

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics