Associate Professor of Mathematics
Warren Weaver Hall, Office 1016
Ph.D., Applied and Computational Mathematics, Princeton University, USA, 2006.
B.S., Physics, Michigan State University, USA, 2001.
My present focus is on fluid dynamics at small scales, and in particular, fluctuating hydrodynamics. My research combines traditional computational fluid dynamics with nonequilibrium statistical mechanics and applied stochastic analysis. Applications of interest include flows at micro and nano scales typical of new microfluidic, nanofluidic and microelectromechanical devices; biological systems such as lipid membranes, Brownian molecular motors, nanopores; as well as processes where the effect of fluctuations is amplified by strong non-equilibrium effects , such as combustion of lean flames, capillary dynamics, hydrodynamic instabilities, and others.
A. Pal Singh Bhalla, B. E. Griffith, N. A. Patankar, and A. Donev,
"A Minimally-Resolved Immersed Boundary Model for Reaction-Diffusion Problems",
Journal of Chemical Physics
139, 214112 (2013)
F. Balboa Usabiaga, R. Delgado-Buscalioni, B. E. Griffith, and A. Donev,
"Inertial Coupling Method for particles in an incompressible fluctuating fluid",
Computer Methods in Applied Mechanics and Engineering
269, 139-172 (2014)
F. Balboa, J. Bell, R. Delgado-Buscalioni, A. Donev, T. G. Fai, B. Griffith, and C. Peskin,
"Staggered Schemes for Fluctuating Hydrodynamics",
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal
10, no. 4, 1369-1408 (2012)