My research activities along my career have been varied, ranging from the study of geophysical flow stability, to the use of geometric methods in constructing geophysical flow models, to the study of different aspects of ocean dynamics and thermodynamics, to the investigation of sound propagation of in deep ocean environments using Hamiltonian mechanics methods, to he study of transport and mixing processes in geophysical flows using tools from dynamical systems theory.
My current primary research activity concerns the study of transport and mixing processes in geophysical flows. The study of transport and mixing in the ocean is critically important for the understanding of distributions of temperature and salinity, plankton, toxic material, pollutants, nearshore sediments, fish larvae, as well as for search and rescue operations at sea. Understanding the distribution of atmospheric tracer gases (such as water vapor, carbon dioxide, or ozone) is the main motivation for the study of transport and mixing processes in the atmosphere.
My approach is to tackle the transport and mixing problem from theoretical, numerical, and observational viewpoints. The fluid particle trajectory equations constitute what is known in mathematics as a dynamical system. Because of this it arises as quite natural to approach the transport and mixing problem by making use of ideas from dynamical systems theory, which constitute the theoretical foundation of my work. More specifically, I put emphasis on revealing, as well as investigating the stability of, transport barriers, i.e., material lines (surfaces in three-space dimensions) which play a key role in shaping global mixing patterns. Numerical analysis in my research activities ranges from the investigation of simple, analytically prescribed kinematic advection fields, to dynamically selfconsistent, numerically generated advection fields, to realistic velocity fields produced by global circulation models, both oceanic and atmospheric. The observational component of my research tasks concerns appropriate analysis of remote sensing data, particularly satellite altimetry sea surface height measurements, and reanalyzed stratospheric winds.
Beron-Vera, F. J., M. J. Olascoaga, G. Haller, M. Farazmand, J. Trinanes and Y. Wang (2015). Dissipative inertial transport patterns near coherent Lagrangian eddies in the ocean. Chaos 25, 087412.
Haller, G., and Beron-Vera, F. J. (2013). Coherent Lagrangian vortices: The black holes of turbulence. J. Fluid Mech. 731, R4.
Haller, G., and F. J. Beron-Vera (2012). Geodesic theory of transport barriers in two-dimensional flows. Physica D 241, 1680–1702.
Beron-Vera, F. J., Y. Wang, M. J. Olascoaga, G. J. Goni and G. Haller (2013). Objective identification of oceanic eddies and the Agulhas leakage. J. Phys. Oceanogr. 43, 1426–1438.
Beron-Vera, F. J., M. J. Olascoaga, M. G. Brown and H. Ko ̧cak (2012). Zonal jets as meridional transport barriers in the subtropical and polar lower stratosphere. J. Atmos. Sci. 69, 753–767.
Beron-Vera, F. J., M. G. Brown, M. J. Olascoaga, I. I. Rypina, H. Ko ̧cak ad I. A. Udovydchenkov (2008). Zonal jets as transport barriers in planetary atmospheres. J. Atmos. Sci. 65, 3316–3326.
Beron-Vera, F. J., M. J. Olascoaga and G. J. Goni (2008). Oceanic mesoscale eddies as revealed by Lagrangian coherent structures. Geophys. Res. Lett. 35, L12603.
Beron-Vera, F. J., M. G. Brown, J. Colosi, S. Tomsovic, A. L. Virovlyansky, M. A. Wolfson and G. M. Zaslavsky (2003). Ray dynamics in a long-range acoustic propagation experiment. J. Acoust. Soc. Am. 14, 1226–1242.
Beron-Vera, F. J. and P. Ripa (2000). Three-dimensional aspects of the seasonal heat balance in the Gulf of California. J. Geophys. Res. 105, 11441–11457.
Beron-Vera, F. J. and P. Ripa (1997). Free boundary effects on baroclinic instability. J. Fluid Mech. 352, 245–264.