Continuation through Singularity of Continuum Multiphase Algorithms
Abstract
The mathematical singularities in continuum multiphase simulations were demonstrated by investigating a set of canonical problems of drop pinching off. The singularities were identified as arising from continuum Navier-Stokes formulation, indicating a physics-based closure model required to bypass the singularities. The study of detailed pinch-off physics was enabled by the development of a mesoscale approach based on particle-based formulation that bridges molecular and continuum scales. Simulation results using the mesoscale approach revealed the existence of a universal scaling law in quantifying the interface behaviors near pinch-off. A closure model for the continuum simulation was then developed based on the mesoscale scaling analysis. Physically/mathematically converged simulations of drop pinch-off were demonstrated using the continuum solver enhanced with the closure model.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 2013
- Accession Number
- ADA580532
Entities
People
- Marco Arienti
- Xiaoyi Li
Organizations
- United Technologies Corporation