296 citations · 1.4k across the 65 of their papers we have counts for
4 papers · 1 filter
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…
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.…
The Landau Collision Integral in the Particle Basis in the PETSc Library
Joseph Pusztay, Filippo Zonta, Matt Knepley +1
The Landau collision integral is often considered the gold standard in the context of kinetic plasma simulation due to its conservative properties, despite challenges involved in i…
A Numerical Study of Landau Damping with PETSc-PIC
Daniel S. Finn, Matthew G. Knepley, Joseph V. Pusztay +1
We present a study of the standard plasma physics test, Landau damping, using the Particle-In-Cell (PIC) algorithm. The Landau damping phenomenon consists of the damping of small o…