The Design Physics Division at LLNL hosts a graduate fellowship program for exceptional HEDP Summer Students pursuing a PhD. Successful applicants will benefit from continued financial support from LLNL through their PhD and access to the world class resources and knowledge that the Laboratory affords. We encourage interested candidates and their mentors to apply during the summer of their HEDP internship.

Benefits:

- Annual stipend
- Travel expenses to/from LLNL each year
- Renewable through completion of PhD (application required each year)

Requirements:

- Completion of first year of graduate school, pursuing a PhD, and be in good standing
- Applicants must be current HEDP students
- Summer residency at LLNL for ~12 weeks each year

Brandon is currently a PhD candidate in Mechanical Engineering at the University of Washington in Seattle, advised by Prof. Jim Riley. He received a Bachelor's degree from Baylor University in 2011 and a Master's degree in Mechanical Engineering at the Colorado School of Mines in 2015, where he performed experimental testing and computational modeling to characterize a novel microchannel reactor designed to reform biogas for fuel cell applications.

Brandon's primary research interests are in the areas of turbulence, computational fluid dynamics, and high-performance computing. His previous research efforts at the University of Washington have focused on developing a GPU-based code for direct numerical simulation of turbulent flows and implementing a novel analysis technique to characterize turbulent mixing. The goal of his current research, in collaboration with LLNL, is to extend the GPU capabilities of the Miranda hydrodynamics code in order to fully utilize the hardware available on next-generation supercomputers. Direct numerical simulations of turbulent, reacting flows will be performed to benchmark the performance of Miranda on GPU hardware as well as explore fundamental processes behind turbulent mixing, which has applications in research areas such as combustion, atmospheric/oceanic modeling, and inertial confinement fusion, among others.

David Gunderman is a fourth-year PhD student in Applied Mathematics at the University of Colorado-Boulder with a research focus on numerical methods for partial differential equations. He received his AB Summa Cum Laude from Wabash College and spent a year in Hannover, Germany on a Fulbright Fellowship before beginning studies at CU Boulder. At Boulder, his research has been on radial basis function-generated finite difference methods, an extension to the classic finite difference method which allows for arbitrary geometry in any number of dimensions.

David’s work with Lawrence Livermore focuses on researching and implementing computational geometry techniques to help improve the accuracy, efficiency, and robustness of LLNL’s numerical simulations of physical systems. He is currently studying the high-order mesh intersection problem, which arises in finite element codes in situations such as solution transfer, domain initialization, interface reconstruction, visualization, immersed boundary methods, and level set methods, among others. The problem is difficult, since high-order polynomial or rational objects are generally not closed under intersection (i.e. their intersections are in general nonpolynomial or nonrational curves). However, efficient numerical approximation techniques can be effective in working with these complicated intersection curves. Some mathematical concepts and tools involved in this project include NURBS, isogeometric analysis, pyramid algorithms, and numerical analysis.

Masado Ishii is working toward the Ph.D. in Computing at the University of Utah. He completed the Bachelor of Science degree at University of Oregon in 2017, majoring in mathematics and computer science, and graduating summa cum laude. His research interests include high performance computing, numerical methods, computational geometry, and scientific visualization. Over the summers of 2018 & 2019 at LLNL, Masado has been developing Devil Ray, a ray-tracing library for 3D visualization of high-order finite element simulation data. The work addresses a gap in current technologies, between high-order PDE solvers that are suited to modern heterogeneous HPC architectures, and analysis/visualization tools that suffer accuracy and performance losses due to low-order approximations. The HEDP fellowship allows Masado to extend the Devil Ray framework beyond image-based operations to fundamental geometry processing operations. He is researching methods that will fully leverage the high-order representation, with the goal of having these methods exposed to LLNL's next-generation MARBL code.

This fellowship recipient graduated in 2016 summa cum laude from Rochester Institute of Technology receiving his bachelors in Physics and Mechanical Engineering. The recipient is currently a PhD candidate at Virginia Tech in the Aerospace Engineering department entering his 4th year of study working with Dr. Srinivasan. Research interests include computational plasma fluid dynamics, advanced space craft propulsion (nuclear), pulsed power, magneto-inertial fusion, and high energy density physics.

His project, titled as " Nonideal Effects in Electrothermal Instability Growth", seeks to investigate the effect that anomalous resistivity can have in different pulsed power current driven fusion platforms. The project will look to characterize the effect of anomalous resistivity on the linear growth of the electrothermal instability, compare different electrothermal instability like simulations across different codes, and show applications where the anomalous resistivity is significant in modeling the evolution of the current drive.