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|Title:||On Derivation and Physical Interpretation of Level Set Method-Based Equations for Two-Phase Flow Simulations|
|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.|
|Appears in Collections:||Article|
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