Part IIB: Computational Multi-Fluid Dynamics

Part IIB reflects the growing interest in the application of CFD techniques to multi-phase flows and covers the most common computational techniques. The introductory chapters from a book authored by Tryggvason, Scardovelli and Zaleski will be emailed to the participants in Part IIB to prepare them for the lectures.

Thursday (8:30-13:00 and 14:00-17:30)

13B. Introduction to CMFD and Direct Numerical Simulations

D. Lakehal

Overview: single fluid modelling (surface tracking by VOF, Level Set, etc.) and multi-fluid models in CMFD. Turbulence in multiphase flows: scale separation; averaging and filtering; methods for low and high Reynolds numbers – from RANS to LES; coupled sub-scale approaches.

14B. Introduction to RANS modelling of two-phase flows

E. Baglietto

Theory or Reynolds Averaging Navier Stokes equations models for two-phase flows, including boiling, and evaporation/condensation with applications to nuclear engineering

15B. Introduction to Interface Tracking

G. Tryggvason

Need for numerical simulations and history. Overview of the governing equations and standard solution methods. Introduction to the various methods used to track sharp fluid interfaces.

16B. Volume of Fluid (VOF) method

S. Zaleski

Volumetric tracking, piecewise linear interface reconstruction. Advanced VOF methods: unsplit, exactly-conserving VOF methods, oct-tree adaptive mesh refinement, height-function methods. High-density ratio and momentum-conserving methods.

17B. Applications of VOF, Phase Field and Lattice Boltzmann

S. Zaleski

The Gerris, ParisSimulator and Basilisk free codes. Flows with large interface deformation and disruption. Ligament formation, atomization and entrainment. Droplet splashing. Multiphase flow in porous media. Introduction to the Phase-Field / Cahn-Hilliard model. Multiphase Lattice Boltzmann. Lattice Boltzmann at high density ratio.

Friday (8:30-12:30)

18B. Embedded Interface Methods

G. Tryggvason

Interface tracking for direct numerical simulations (DNS) of multiphase flows. Applications to bubbly flows and flows with phase change and mass transfer. Multiscale issues.

19B. Application of CFD codes to complex multiphase flow systems

D. Lakehal

Introduction to different modelling approaches for multiphase flows, including Multi-component systems with mass transfer. Treatment of local heat transfer with phase change, using Interface Tracking and Phase averaging. Compressible multiphase flows with phase change. Applications: PTS, Condensing jets, Nucleate and convective flow boiling, Water hammer.

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