Summary: ILASS Americas 21st Annual Conference on Liquid Atomization and Spray Systems, Orlando, FL, May 2008
A Hybrid Lagrangian-Eulerian Method (hLE) for Interface Tracking
Sourabh V. Apte
School of Mechanical, Industrial, and Manufacturing Engineering
Oregon State University
204 Rogers Hall, Corvallis, OR 97331
Abstract
A hybrid Lagrangian-Eulerian (hLE) scheme, combining a particle-based, mesh-free technique with a finite-
volume flow solver, is developed for direct simulations of two-phase flows. The approach uses marker points
around the interface and advects the signed distance to the interface in a Lagrangian frame. The kernel­based
derivative calculations typical of particle methods are used to extract the interface normal and curvature
from unordered marker points. Connectivity between the marker points is not necessary. The fluid flow
equations are solved on a background, fixed mesh using a co-located grid finite volume solver together with
balanced force algorithm (Francois et al. JCP, 2006, Herrmann JCP, 2007) for surface tension force. The
numerical scheme is first validated for standard test cases: (i) parasitic currents in a stationary spherical
drop, (ii) small amplitude damped surface waves, (iii) capillary waves on droplet surface, (iv) Rayleigh-
Taylor instability, and (v) gravity-driven bubble/droplet in a stationary fluid. Extension of the approach
to three-dimensions is conceptually straight forward, however, poses challenges for parallel implementation.
A domain-decomposition based on balancing the number of grid points per processor gives rise to load­
imbalance due to uneven distribution of the marker points and advanced domain partitioning methods are

Source: Apte, Sourabh V. - School of Mechanical, Industrial, and Manufacturing Engineering, Oregon State University

Collections: Engineering