Implicit tracking for multi-fluid simulations

Authors:
A. Villa;L. Formaggia
Affiliations:
Universitá degli Studi di Milano, Department of Mathematics, Via Saldini 50, Milano, Italy;MOX, Politecnico di Milano, Department of Mathematics, Via Bonardi 9, Milano, Italy
Venue:
Journal of Computational Physics
Year:
2010

Citing 17
Cited 1

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Abstract

In this work, we introduce a new method for tracking the interfaces among several immiscible fluids. To advance the solution in time, we use a MUSCL-type scheme which couples a partial volume representation with a level set one to build the numerical fluxes. In particular we show the positiveness and conservation properties of this method. Some numerical tests are given to demonstrate the conservativeness and the performances of our method.