# Research Gallery

Here are some 'pretty pictures' from simulation work I've done. (You can click the images for a full-resolution view.)

An integral-equation-based simulation of (a mockup of) one of the fields inside high-field nuclear magnetic resonance imager. The object being examined is a (mockup of) battery electrodes used in research on novel Lithium batteries. This is an accelerated first-order calculation using a charge-current formulation. I am presently working on methods to make calculations like this faster, more accurate, and more efficient.

A sample scattering problem solved using a novel, efficient GPU-based implementation of an unstructured finite-element method. The incident plane-wave electric field is shown as pseudocolor values on the scatterer, while the scattered electric field is shown as arrows. The computation was performed at order $N=4$ on a mesh of $K=78745$ elements using an incident-field formulation \cite{hesthaven_nodal_2002} and characteristic absorbing boundary conditions. It achieved and sustained more than 160 GFlops/s.

A particle-in-cell simualtion of an injector gun for a proposed particle accelerator at ANL. The electric and magnetic field are shown as contour surfaces in blue and red, respectively. The simulation uses novel coupling methods between a high-order time-domain finite element method and a particle discretization.

An animated GIF of the same particle-in-cell simulation run as described above.

Pseudocolor plot of the density of a vortex shedding flow behind a square obstacle at Re=100 and Ma=0.1. This was computed using my Discontinuous Galerkin solver hedge on an Nvidia GTX 260. Movie

A few more images are available on my research page.