Computational Fluid Turbulence

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Computational Fluid Turbulence


This advanced course is the third of the three-part series of courses which will prepare you for a career in the rapidly expanding field of computational fluid dynamics with emphasis in fluid turbulence. Completion of these three courses will give you the equivalent of one semester of undergraduate and two semesters of graduate work. The courses are supported extensively with textbooks, computer programs, and user manuals. You can use the computer programs to develop your own code, or you may modify the existing code for assigned applications.

How You Will Benefit From This Course

  • Improve you understanding of turbulence and turbulence models.
  • Learn about the different categories of turbulence models, and the advantages and disadvantages of each category.
  • Learn to develop numerical scheme for solution of turbulence models.
  • Learn the fundamental aspects of large eddy simulation (LES) and direct numerical simulation (DNS).

Key Topics:

  • Introduction to Turbulence and Turbulent Flows
  • Reynolds average Navier-Stokes Equations Parabolic Equations
  • Turbulence Models
  • Compact Finite Difference Formulations
  • Boundary Conditions
  • Large Eddy Simulation
  • Direct Numerical Simulation

Who Should Attend:

This course is designed for engineers, scientists, and technical managers who are interested in learning the fundamentals and principles of turbulence and numerical schemes to solve turbulent flows. The objectives of this course are to provide simple, but in-depth explanations of solution schemes. The content of this course is equivalent to a one-semester course offered to graduate students. Prior courses in fluid mechanics, partial differential equations, and advanced CFD are required.

Type of Course: Instructor-Led Short Course

Course Level: Advanced

Course scheduling available in the following format:

  • Distance Learning/Home Study Course
  • On-site Course

Course Length: 5 months

AIAA CEU's available: no

Course Outline:

I. Introduction to Turbulence and Turbulent Flows
II. Reynolds average Navier-Stokes Equations
III. Governing equations
IV. Turbulence Models
V. Zero-equation turbulence models
VI. One-equation turbulence models
VII. Two-equation models
VIII. Turbulence models in generalized curvilinear coordinates
IX. Numerical schemes
X. Compact Finite Difference Formulations
XI. Finite difference equations
XII. Applications
XIII. Boundary Conditions
XIV. Characteristic based boundary conditions
XV. Addition of buffer layer
XVI. Applications
XVII. Large Eddy Simulation
XVIII. Governing equations
XIX. Turbulence models
XX. Numerical considerations
XXI. Direct Numerical Simulation
XXII. Governing equations
XXIII. Numerical considerations


Course Instructor:

Klaus A. Hoffmann is the Marvin J. Gordon Distinguished professor of aerospace engineering at Wichita State University. He has conducted extensive research in the areas of Navier-Stokes equations, Euler equations, parabolized Navier-Stokes equations, grid generations, boundary layer computations, turbulence models, and aerodynamic environment of reentry vehicles and hypervelocity projectiles. He has received excellent evaluations from more than 986 professionals who have taken this series of distance learning courses.