Classes

Teaching Interests

Fluid Dynamics, turbulence, acoustics, and applied mathematics.

Current Classes

Introduction to Computational Fluid Dynamics (CFD)

• Course Number – EAS 4939
• UF Course Description: General theory, skepticism, and practice of computational fluid dynamics. Computational grids and generation, boundary conditions, fluid dynamics, numerical methods, visualization, turbulence modelling, and various special topics.
• Course Objectives: This course introduces students to the general theories, numerical algorithms, and processes of computational fluid dynamics (CFD). The main objectives are to understand the pre-process that includes the definition of the problem and grid generation, the solver, and the post-process that includes analysis of the results. The students will learn to interpret CFD results and develop skepticism, which is balanced by verification and validation techniques. Throughout the course, concepts will be illustrated with the use of one popular commercial CFD computer program. The students will have fundamental knowledge of boundary conditions, grid generation, solvers, turbulence modelling, visualization, numerical methods, and a variety of special topics by the end of the course.

• Course Number – EAS 4132 / EML 5714 (Joint undergraduate and graduate course); Credits: 3; Prerequisite: EAS 4101 (Aerodynamics) / EGN 3353C (Fluid Dynamics)
• UF Course Description: One-dimensional and quasi one-dimensional compressible fluid flows. Includes mach waves, normal shocks, oblique shocks, Prandtl-Meyer expansions, isentropic flow with area change, Fanno flow and Rayleigh flow.

The Navier-Stokes Equations

• Course Objectives – The student will understand the history, physical meaning, and contemporary challenges within the field of theoretical fluid dynamics and turbulence.
• Course Description Navier-Stokes Equations (NSE) History, derivation, physical meaning, classical solutions, stability, dynamical systems, existence, uniqueness, regularity, scales, ladder results, dissipation rates, Serrin’s blowup, capacitary approaches, mild solutions (Lebesgue, Sobolev, Besov, Morrey, BMO, Koch, Tataru), weak solutions, stochastic NSE, the Russian school, and invariant measures. (Credits 3)
• Course Pre-Requisites / Co-Requisites – EGM 6812 Fluid Dynamics I or consent of professor. An appreciation of advanced mathematics.
• Recommended Textbooks and/or Software
• A complete set of course notes will be provided by the professor.
• There are no required textbooks for the class.
• Supplemental Materials – All supplementary material will be provided through the course website.

Inhomogeneous Turbulence and Turbulence Modeling

• Course Description: A class that covers in depth concepts of the science and mathematics of turbulence modeling with a historical perspective. Examples are given as much as possible involving contemporary approaches. Statistical quantities, averages, correlations, coherence, the Russian school, law of the wall, chaos, compressible NSE, averaging relations, mean kinetic energy, Re stress transport eqn., boundary layer equations, two-dimensional in laminar and turbulent flows, mixing length concepts, Baldwin-Lomax, Cebeci-Smith, 1/2-equations, one- equation models, Prandtl’s model, Spalart-Allmarus, k-\omega and k-\epsilon, Boussinesq, nonlinear relations, stress transport models, closure, applications and examples, physical considerations, Morkovin hypothesis, studies in particular flows. These topics will be related to turbulent flows that are observed in our daily lives and within various fields of engineering.
• Course Pre-Requisites / Co-Requisites – A graduate course in Fluid Mechanics and preferentially a traditional course in turbulence.
• Recommended Textbooks and/or Software
• A complete set of course notes will be provided by the professor.
• There are no required textbooks for the class.
• Supplemental Materials – All supplementary material will be provided through the course website.

Previous Classes

Introduction to Computational Fluid Dynamics (University of Florida)

Compressible Flow (University of Florida)

Introduction to Turbulence (Penn State)

Aerodynamics I (Penn State)

Fluid Dynamics Lab (Penn State)