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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/12415

Title: On Derivation and Physical Interpretation of Level Set Method-Based Equations for Two-Phase Flow Simulations
Authors: GADA, VH
SHARMA, A
Keywords: of-fluid method
numerical-simulation
phase-change
volume
formulation
surface
solidification
computations
boundaries
efficient
Issue Date: 2009
Publisher: TAYLOR & FRANCIS INC
Citation: NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 56(4), 307-322
Abstract: The level set (LS) method is one of the most popular and recent methods for two-phase flow simulation. However, its origin and governing equations rely heavily on mathematical sources. The present work attempts mass and volume conservation law-based derivation of the LS advection equation and the continuity equation, respectively, for two-phase flow with phase change. Physical interpretation of the Heaviside function and the Dirac delta function, used in the LS method, is done here in a novel way and the resulting expressions are used in the derivations. The diffused interface, used in the LS method, is shown to introduce negligible error on a sufficiently fine grid.
URI: http://dx.doi.org/10.1080/10407790903388258
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12415
http://hdl.handle.net/10054/12415
ISSN: 1040-7790
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