Bradley M. Froehle
Ph.D., Mathematics
University of California, Berkeley
Research
I’m currently working on high-order methods for solving fluid-structure interaction problems. The fluid, modeled using the compressible Navier-Stokes equations, is generally discretized usign a high-order discontinous Galerkin arbitrary Lagrangian Eulerian (DG-ALE) method. A variety of structures have been investigated including rigid airfoils, non-linear membranes, and thin hyperelastic structures.
Watch some videos:
Teaching
- Math 228A (Fall 2012; J. Strain)
- Math 228A (Fall 2010; P. Persson)
- Math 228B (Spring 2010; J. Sethian)
- Math 1A (PDP) (Fall 2009; R. Borcherds)
- Math 1A (Summer 2009)
- ARE 298 (Spring 2009; L. Karp)
- Math 1A (Fall 2008; I. Agol)
Codes & Python Utilities
- See my blog where I often describe Python tips and tricks.
- PyDistMesh is a simple Python code for generating unstructured triangular and tetrahedral meshes using signed distance functions. It intends to have the same functionality as and similar interface to the MATLAB-based DistMesh.
- PyMUMPS is a Python interface to MUMPS.
- rt2to3: Runtime (Python) 2to3 conversion (for developers)
- pydzipimport: Python zipimport with support for compiled extension modules
- Bitey Magic: IPython extension for Bitey. Sample Notebook.
- Proof of concept of using LLVM’s JIT to load Python extension modules.
- Slither is a tool for easily building static Python interpreters. This is necessary to ensure fast startup times when running on hundreds or thousands of cores.
- A SAT-based KenKen solver using the pycosat module.
Papers & Presentations
Journal Papers
- B. Froehle and P.-O. Persson, High-Order Accurate Fluid-Structure Simulation of a Tuning Fork. To appear in Computers & Fluids.doi:10.1016/j.compfluid.2013.11.009
- B. Froehle and P.-O. Persson, A high-order discontinuous Galerkin method for fluid-structure interaction with efficient implicit-explicit time stepping. To appear in Journal of Computational Physics.doi:10.1016/j.jcp.2014.03.034
- A. Boocher and B. Froehle, On generators of bounded ratios of minors for totally positive matrices. Linear Algebra Appl. 428 (2008) pp. 1664-1684.doi:10.1016/j.laa.2007.10.011 arXiv:0804.3226 MR2388648
Conference Papers
- B. Froehle and P.-O. Persson, A High-Order Implicit-Explicit Fluid-Structure Interaction Method for Flapping Flight. Proc. of the 21st AIAA Computational Fluid Dynamics Conference, June 2013.doi:10.2514/6.2013-2690.
Presentations
- 12th U.S. National Congress on Computational Mechanics, July 23, 2013. A High-Order Implicit-Explicit Discontinuous Galerkin Scheme for Fluid-Structure Interaction.
- High-Order Methods III, 21st AIAA Computational Fluid Dynamics Conference,
June 25, 2013. A High-Order Implicit-Explicit Fluid-Structure Interaction Method for Flapping Flight. - UC Berkeley / Lawrence Berkeley Laboratory: Applied Mathematics Seminar, April 3, 2013 A High-Order Implicit–Explicit Discontinuous Galerkin Scheme for Fluid–Structure Interaction.
- Algorithms for precomputing fast Fourier transforms of the symmetric group (with Marie Jameson and Michael Orrison) Poster presented at Joint Mathematics Meetings – January 2007, New Orleans, LA. Undergraduate Student Poster Session Prize Winner pdf Unfinished notes pdf
Theses
- High-Order Discontinuous Galerkin Fluid-Structure Interaction Methods Ph.D. thesis, Department of Mathematics, University of California, Berkeley, Sep 2013.
- An Introduction to Combinatorial Garside Structures Undergraduate senior thesis,Department of Mathematics, University of Minnesota, Twin Cities, May 2007. Presentation slides
Miscellaneous
Other things which have my name on them, like talks I contributed to but did not give:
- F. Perez, M. Bussonnier, J. Frederic, B. Froehle, B. Granger, P. Ivanov, T. Kluyver, E. Patterson, B. Ragan-Kelley, and Z. Sailer, American Geophysical Union Fall Meeting; San Francisco, California; December 2013. IPython: components for interactive and parallel computing across disciplines.
- P. Marion, A. Ahmadia, and B. Froehle, SciPy 2013;Austin, Texas; June 2013. Import without a filesystem: scientific Python built-in with static linking and frozen modules. (slides).
- P.-O. Persson and B. Froehle, SIAM Conference on Computational Science and Engineering; Boston, Massachusetts; February, 2013. A High-Order Implicit-Explicit Discontinuous Galerkin Scheme for Fluid-Structure Interaction.
Open Source Software Contributions
I have contributed code and bug fixes to numerous open source software projects including: IPython, Cython, matplotlib, CPython, Drupal, Apache, phpCAS, PHP, Octave, SymPy, Homebrew, Debian, MacPorts, CyanogenMod, HTML Purifier.
Classes
Spring 2010
- Research
- Valveless pumping — time periodic solutions and shape optimization.
- Math 203 – Asymptotic Analysis – L.C. Evans
- CS 267 – Applications of Parallel Computers – J. Demmel and K. Yelick
Fall 2010
- Research
- Time periodic solutions of axially vibrating rubber bands.
- Engineering 266A – Finite Difference Methods for Fluid Dynamics – P. Colella
Spring 2010
- Research
- Automated quadrature rules for prespecified families of functions
- High order methods for Landau-Lifschitz-Gilbert and similar equations
Fall 2009
- Math 221 – Matrix Computations / Numerical Linear Algebra – J. Demmel
- Math 228A – Numerical Solutions of Differential Equations – P. Persson
- Math 303 – Professional Preparation
- Qualifying Exam – Syllabus – Passed on December 18, 2009
Spring 2009
- Math 222B – Partial Differential Equations – L.C. Evans
- Math 228B – Numerical Solutions of Differential Equations – J. Strain
- Math 303 – Professional Preparation
Fall 2008
- Math 261A – Lie Groups – M. Haiman
- Math 265 – Differential Topology – P. Teichner
- Math 300 – Teaching Workshop – P. Barrow
- Many Cheerful Facts
Spring 2008
- Math 202B – Introduction to Topology and Analysis – M. Rieffel
- Math 215B – Algebraic Topology – R. Kirby
- Math 250 – Multilinear Algebra – D. Eisenbud
- Math 253 – Homological Algebra – P. Teichner
- Many Cheerful Facts
Fall 2007
- Math 202A – Introduction to Topology and Analysis – J. Holmer
- Math 215A – Algebraic Topology – M. Hutchings
- Math 252 – Representation Theory – T.Y. Lam
Other Activities
I was an officer in the Mathematics Graduate Student Association from 2008—2010.
I was the MGSA appointee to the department’s Computer Committee for the 2008-2009 school year. In Fall 2008 I surveyed other graduate students in the department and wrote a report outlining the status of the current computing infrastructure.
In 2008 I helped run Many Cheerful Facts, a series of weekly talks given by graduate students and aimed at a general mathematics audience.
I’m one of the delegates from the Mathematics Department to the Graduate Assembly, the graduate student government at University of California, Berkeley. I formerly chaired the Environmental Sustainability Committee and Technology Committee. I currently chair the Communications Committee.
In October 2009 I was appointed by Councilmember Jesse Arreguin (Berkeley, District 4) to the City of Berkeley Transportation Commission.
Elsewhere on the Internet
Listed in no particular order:
Education
- I received my Bachelor Science in Mathematics (summa cum laude) and Physics (high distinction) from the University of Minnesota in May 2007.
- Check out my CV or resume for more information.
- My Erdős number is currently 6. It should drop soon.
Bradley Froehle 