Summary: A multi-phase flow method with a fast,
geometry-based fluid indicator
Hector D. Ceniceros
Department of Mathematics, University of California Santa Barbara , CA 93106
Alexandre M. Roma
Department of Applied Mathematics, University of Sao Paulo, Caixa Postal
66281, CEP 05311-970, Sao Paulo-SP, Brazil.
We present a novel methodology for incompressible multi-phase flow simulations in
which the fluid indicator is a local signed distance (level set) function, and Front-
Tracking is used to evaluate accurately geometric interfacial quantities and forces.
Employing ideas from Computational Geometry , we propose a procedure in which
the level set function is obtained at optimal computational cost without having to
solve the level set equation and its associated re-initialization. This new approach
is robust and yields an accurate and sharp definition of the distinct bulk phases at
all times, irrespective of the geometric complexity of the interfaces. We illustrate
the proposed methodology with an example of surface tension-mediated Kelvin-
Key words: level set method, immersed boundary method, re-initialization,
two-phase flow, closest point transform.