Bounded renormalization with continuous penalization for level set interface capturing methods

BATTAGLIA, L.; STORTI M.; D'ELÍA, J.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

JOHN WILEY & SONS LTD

Año: 2010 vol. 24 p. 121 - 133

0029-5981

In this work, a reinitialization procedure oriented to regularize the Level Set (LS) function field is presented. In LS approximations for two-fluid flow simulations, a scalar function indicates the presence of one or another phase and the interface between them. In general, the advection of such function produces a degradation of some properties of the LS function, such as the smoothness of the transition between phases and the correct position of the interface. The methodology introduced here, denominated bounded renormalization with continuous penalization, consists of solving by the finite ele- ment method a partial differential equation with certain distinguishing properties with the aim of keeping the desirable properties of the LS function. The performance of the strategy is evaluated for several typ- ical cases in one, two and three-dimensional domains, for both the advection and the renormalization stages.