Eric W. Hester

Eric W. Hester

Hedrick Assistant Adjunct Professor

The University of California, Los Angeles

Biography

I’m a Hedrick Assistant Adjunct Professor at the Department of Mathematics, UCLA. My research interests are varied but all relate to better understanding multiphase flows and fluid dynamics more broadly. I’ve done experimental investigations of iceberg melting rates, numerical simulations of phase separating polymer solutions and the extraordinary boat drag of the dead-water effect, and mathematical analysis of accretion disk shocks around black holes, as well as higher-order accurate volume penalty and phase-field models for melting and dissolving fluid-solid interactions using the elegant differential geometry of signed distance coordinates. I am especially motivated to implement my research by developing computational tools to simulate multiphase fluid dynamics and automatically derive boundary layer equations in arbitrary geometries. I also love visualising my research!

Interests
  • Applied Mathematics
  • Fluid Dynamics
  • Singular Perturbation Theory
  • Numerical Analysis
  • The Dedalus PDE solver framework
  • Symbolic Computing
Education
  • Doctor of Philosophy in Applied Mathematics, 2017-2021

    The University of Sydney

  • Bachelor of Science (Advanced) (Honours), 2013-2016

    The University of Sydney

Publications

Projects

Contact line dynamics in three-phase fluids
Three fluids, three dimensions, one line
Nanovial Manufacture via Liquid-Liquid Phase Separation
Simulating aqueous two-phase systems
Black Hole Accretion Disks
Understanding shocks in black hole accretion disks
Iceberg Melting
How does iceberg shape affect melting?
Phase Field Models
Simple-to-simulate models of phase change
Volume Penalty Method
The simplest way to put objects in CFD solvers.
Signed Distance Coordinates
The elegant — and useful — differential geometry of the signed-distance function.
Dead Water
The huge drag of small density differences

Contact