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An embedded approach for immiscible multi‐fluid problems
Author(s) -
Ryzhakov P. B.,
Jarauta A.
Publication year - 2015
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.4190
Subject(s) - lagrangian , discontinuity (linguistics) , eulerian path , domain (mathematical analysis) , position (finance) , boundary value problem , mathematics , interface (matter) , lagrangian and eulerian specification of the flow field , computer science , boundary (topology) , representation (politics) , euler–lagrange equation , mathematical optimization , mechanics , mathematical analysis , physics , bubble , finance , maximum bubble pressure method , politics , political science , law , economics
Summary An embedded formulation for the simulation of immiscible multi‐fluid problems is proposed. The method is particularly designed for handling gas–liquid systems. Gas and liquid are modeled using the Eulerian and the Lagrangian formulation, respectively. The Lagrangian domain (liquid) moves on top of the fixed Eulerian mesh. The location of the material interface is exactly defined by the position of the boundary mesh of the Lagrangian domain. The individual fluid problems are solved in a partitioned fashion and are coupled using a Dirichlet–Neumann algorithm. Representation of the pressure discontinuity across the interface does not require any additional techniques being an intrinsic feature of the method. The proposed formulation is validated, and its potential applications are shown. Copyright © 2015 John Wiley & Sons, Ltd.