Courses

Ae 233: Hydrodynamic stability (Spring 2009).  Laminar-stability theory as a guide to laminar-turbulent transition. Rayleigh equation, instability criteria, and response to small inviscid disturbances. Discussion of Kelvin-Helmholtz, Rayleigh-Taylor, Richtmyer-Meshkov instabilities and instabilities in geophysical flows. The Orr-Sommerfeld equation, the dual role of viscosity, and boundary-layer stability. Modern concepts such as pseudomomentum conservation laws and nonlinear stability theorems for 2D and geophysical flows. Weakly nonlinear stability theory and phenomenological theories of turbulence.

ACM/ESE 118: Methods in Applied Statistics and Data Analysis (Fall 2002, 2003, 2004; Winter 2006, 2007). Introduction to fundamental ideas and techniques of statistical modeling, with an emphasis on conceptual understanding and on the analysis of real data sets. Multiple regression: estimation, inference, model selection, model checking. Regularization of ill-posed and rank-deficient regression problems. Cross-validation. Principal component analysis. Discriminant analysis. Resampling methods and the bootstrap.

ESE/Ge 153: Atmosphere and Ocean Dynamics (Spring 2004, with Andy Ingersoll). Fluid dynamics of atmosphere and oceans, beginning from linear wave dynamics and wave-mean flow interaction theory and leading to theories of the maintenance of large-scale circulations. Topics include: barotropic Rossby waves, flow over topography; shallow water dynamics and potential vorticity; quasigeostrophic theory; barotropic and baroclinic instability; wave-mean flow interaction; maintenance of the global-scale circulation of the atmosphere; structure of wind-driven ocean circulation.

ESE/Ge 173: Topics in Atmosphere and Ocean Dynamics (Fall 2003–2007). A lecture and discussion class about current research in atmosphere and ocean dynamics. Topics covered vary from year to year and may include: geostrophic turbulence, atmospheric convection and cloud dynamics, wave dynamics and large-scale circulations in the tropics, middle atmosphere dynamics, dynamics of El Nino and the Southern Oscillation, maintenance of ocean thermocline, dynamics of the Southern Ocean.
Topics:

  • Geophysical Turbulence (2003)
  • Global Atmospheric Circulations (2004)
  • Large-scale Dynamics of the Atmosphere (2005)
  • Principles of Global Planetary Circulations (2006)
  • Tropical Atmosphere Dynamics (2007)
  • Large-scale Ocean Dynamics (2008)