3 papers
math.NA2025
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-dyn2023
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…
physics.flu-dyn2023
Droplet formation simulation using mixed finite elements
Darsh Nathawani, Matthew Knepley
Droplet formation happens in finite time due to the surface tension force. The linear stability analysis is useful to estimate droplet size but fails to approximate droplet shape.…