On algebraic TVD-VOF methods for tracking material interfaces

ORAL

Abstract

We revisit simple algebraic VOF methods for advection of material interfaces based of the well established TVD paradigm. We show that greatly improved representation of contact discontinuities is obtained through use of a novel CFL-dependent limiter whereby the classical TVD bounds are exceeded. Perfectly crisp numerical interfaces are obtained with very limited numerical atomization (flotsam and jetsam) as compared to previous SLIC schemes. Comparison of the algorithm with accurate geometrical VOF shows larger error at given mesh resolution, but comparable efficiency when the reduced computational cost is accounted for.

*This work has been financially supported by the Flagship Project RITMARE “The Italian Research for the Sea”, coordinated by the Italian National Research Council and funded by the Italian Ministry of Education, University and Research within the National Research Program 2014–2015.

–

Authors

  • Sergio Pirozzoli

    • Sapienza University of Rome, Department of Mechanical and Aerospace Engineering

  • Simone Di Giorgio

    • Sapienza University of Rome, Department of Mechanical and Aerospace Engineering

  • Alessandro Iafrati

    • CNR-INSEAN, Istituto Nazionale per Studi ed Esperienze di Architettura Navale