Course Web Page:    http://www.ams.jhu.edu/~eyink/Turbulence

Texts:   H. Tennekes & J. L. Lumley, A First Course in Turbulence, 1972;
              U. Frisch, Turbulence, 1995

Homework:   There will be weekly assignments.

Prerequisites:    This course continues 550.693 Turbulence Theory, which is strongly advised as a prerequisite.

Overview of Topics Covered:

O.   Critical Experiments & Simulations (wind tunnels, wakes, channel flow; Earth Simulator).

I.    Navier-Stokes Equation (physical foundations, symmetries, conservation laws).

II.    Effective "Large-Scale" Equations (derivation & physical interpretation, estimating orders of magnitudes).

III.    Turbulent Energy Cascade (pointwise energy flux; Onsager Theorem; scale-locality; helicity cascade).

IV.    Universal Statistics at Small-Scales (scaling, 4/5th law, multifractal model, return to isotropy).

V.    Vortex Dynamics (turbulent stress & vortex-stretching, Betchov relation, turbulent vortex-line motion).

VI.    Lagrangian Particle Dynamics (Taylor & Richardson diffusion, Kraichnan model).

VII.    Other Topics (two-dimensional & geostrophic turbulence, MHD turbulence, boundary-free shear flows, pipe & channel flow).

Grading:

Your final grade in this class will be determined by your scores on weekly homework assignments

Late Homework and Make-Up Exams:

Homework may be submitted after the due date only at the instructor's discretion, possibly for reduced credit.
Homework may not be accepted for credit after solutions have been posted on-line. If there is a valid excuse
for its being late, then it will be removed from the student's total grade for the course, and the remainder of
the homework assignments reweighted accordingly.

Guidelines for Ethical Conduct:

The strength of the university depends on academic and personal integrity. In this course, you must be honest
and truthful. Ethical violations include cheating on exams, plagiarism, reuse of assignments, improper use
of the Internet and electronic devices, unauthorized collaboration, alteration of graded assignments, forgery
and falsification, lying, facilitating academic dishonesty, and unfair competition.

In addition, specific ethics guidelines for this course are as follows: Students may discuss homework. However,
all solutions MUST be written up and submitted individually. The same rules apply to computer programs.
Basic ideas may be discussed but detailed codes should not be copied or shared. Finally, exams must
represent the result of individual effort and communication is permitted only with the instructor and TA.

Report any violations you witness to the instructor. You may consult the associate dean of student affairs
and/or the chairman of the Ethics Board beforehand. See the guide on ``Academic Ethics for Undergraduates''
and the Ethics Board Web site (http://ethics.jhu.edu) for more information.