### Advances in Advancing Interfaces: The Mathematics of Manufacturing of Industrial Foams, Fluidic Devices, and Automobile Painting

## Abstract

Complex dynamics underlying industrial manufacturing depend in part on

multiphase multiphysics, in which fluids and materials interact across

orders of magnitude variations in time and space. In this talk, we will

discuss the development and application of a host of numerical methods for

these problems, including Level Set Methods, Voronoi Implicit Interface

Methods, implicit adaptive representations, and multiphase discontinuous

Galerkin Methods. Applications for industrial problems will include modeling

how foams evolve, how electro-fluid jetting devices work, and

the physics and dynamics of rotary bell spray painting across the automotive

industry.