Immersed Boundary Approaches for Multi-Phase Flow: a Study of Grid and Level Set Interactions

EasyChair Preprint 15487

Abstract

The study of multi-phase flows, characterized by interactions between distinct fluid phases separated by interfaces, has gained significant attention due to its relevance in engineering and natural systems. Immersed boundary methods (IBMs) provide a versatile framework for simulating such flows, especially in complex geometries. This research explores the integration of immersed boundary approaches with grid-based and level set methods for interface tracking. A primary focus is the interaction between discrete grids and continuous level sets, addressing challenges in accurately capturing interface dynamics, resolving boundary conditions, and maintaining numerical stability. The study examines how grid resolution, level set representation, and reinitialization strategies affect key metrics such as mass conservation and surface tension modeling. Validation is performed through benchmark problems, including droplet dynamics, bubble rising, and interface deformation under varying flow conditions. The findings underscore the potential of hybrid IBM-level set techniques in enhancing the accuracy and efficiency of multi-phase flow simulations, with implications for applications in fluid-structure interaction, biological systems, and industrial processes.

Keyphrases: Computational Fluid Dynamics (CFD), Grid Resolution, Grid-Interface Interaction, Immersed Boundary Methodology, Immersed boundary method, Interface tracking, Multi-Phase Flow Modeling, Multi-phase flow, Numerical Methods in Fluid Mechanics, Phase Interaction, flow simulation, fluid dynamics, fluid-structure interaction, level set method, numerical simulation

@booklet{EasyChair:15487,
  author    = {Betty Heleen and Everly Whitt},
  title     = {Immersed Boundary Approaches for Multi-Phase Flow: a Study of Grid and Level Set Interactions},
  howpublished = {EasyChair Preprint 15487},
  year      = {EasyChair, 2024}}