2 papers
math.NA2026
Error Estimation for Adaptive Mesh Refinement in Droplet Simulations
Darsh Nathawani, Matthew Knepley
We present a one-dimensional shear-force-driven droplet formation model with a flux-based error estimator. The model is derived using asymptotic expansion and a front-tracking meth…
physics.flu-dyn2024
A one-dimensional mathematical model for shear-induced droplet formation in co-flowing fluids
Darsh Nathawani, Matthew Knepley
Shear-induced droplet formation is important in many industrial applications, primarily focusing on droplet sizes and pinch-off frequency. We propose a one-dimensional mathematical…