International Short Course Announcement
(Registration fee is $500 for students and $1000 for others)
Flow Transition and Turbulence - Physical Nature and High Order DNS Code
1. Date: May 11-15, 2009
411 S. Nedderman, Department of Mathematics,
3. Principal Lecturer
Yury S. Kachanov, PhD, Professor
Institute of Theoretical and Applied Mechanics
Part I Physical Nature -Turbulence Origin in Boundary-Layer Flows, Predominant Mechanisms and Applications (Yury S. Kachanov)
2) What is turbulence? The problem of its definition and the solution of this problem.
3) Turbulence origin and its practical significance.
4) Transition scenarios and characteristic stages.
5) Classes and types of instability of laminar boundary layers.
6) Basic ideas of experimental approaches to the transition and turbulence researches.
7) Three bright examples of flow instabilities.
8) Boundary-layer receptivity to various external perturbations.
9) Three bright examples of the boundary-layer receptivity problems.
10) Nonlinear interactions of instability modes. Role of resonances.
11) Formation of vortical structures at late stages of turbulence origin and their universality.
12) Turbulence production mechanisms in transitional and turbulent flows and their similarity.
13) Deterministic turbulence – myth or reality?
14) Transition prediction approaches.
15) Control of boundary layer transition.
16) Control of turbulent boundary layers.
17) Concluding remarks.
Part II Direct Numerical Simulation for Flow Transition (Chaoqun Liu)
1) Governing equations of fluid motion
2) Detailed conservative Navier-Stokes equation in a curvilinear coordinate
3) Orthogonal body-fitted grid generation
4) High order compact scheme and filter
5) High order formula for boundary grid points
6) Runge-Kutta and implicit time marching
7) Universal high order subroutine for conservation and accurate numerical derivatives
8) MPI parallel computation
9) Numerical examples of flow transition
For more information, please contact
Chaoqun Liu, PhD
Professor and Director
456 PKH, 411 S. Nedderman,
6. Web Link:
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