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The numerical prediction of droplet deformation and break‐up using the Godunov marker‐particle projection scheme
Author(s) -
Bierbrauer F.,
Phillips T. N.
Publication year - 2007
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/fld.1710
Subject(s) - godunov's scheme , discretization , projection (relational algebra) , mathematics , eulerian path , projection method , particle (ecology) , mechanics , deformation (meteorology) , mathematical analysis , scheme (mathematics) , lagrangian , classical mechanics , physics , numerical analysis , mathematical optimization , algorithm , dykstra's projection algorithm , geology , meteorology , oceanography
Abstract The problem of droplet deformation and break‐up is considered. A hybrid Eulerian–Lagrangian method is used in which the velocity and pressure are discretized on a fixed mesh and Lagrangian particles are used to implicitly track the interface between the two phases. The Navier–Stokes equations are solved using an approximate Godunov projection method, collectively called the Godunov marker‐particle projection scheme. The results show good qualitative agreement with previous research as well as demonstrating the efficacy of the method. Copyright © 2007 John Wiley & Sons, Ltd.