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Goals. Students will learn the fundamental concepts of computational fluid dynamics applied to the 1-D wave equation and the 1-D Euler equations. Students will learn how to utilize simulation tools for 2-D problems, including grid generation, 2-D Euler and Navier-Stokes solvers, and post-processing tools. 

Students are expected to write computer program codes. Familiarity with the equations of fluid mechanics is helpful to provide motivation for the course.


 
AA 543 – Computational Fluid Dynamics I
Aeronautics & Astronautics, University of Washington
2008 Winter Quarter (3 credits)
MWF 1:30-2:20 in Room 202 Loew Hall
The course is also available on video for enrolled students.

 
Instructor:
Professor Uri Shumlak 
432 Aerospace and Energetics Research Building 
Office Hours: MW 10:30-11:30 or by appointment 

shumlak@u.washington.edu
Tel: (206) 616-1986
Teaching Assistant:
Bryan Jilka 
306 Guggenheim Hall or 212 Gugg (Computer Lab) 
Office Hours: M 12:30-1:30, Th 11:30-12:30, or by appointment 

bjilka@u.washington.edu

Announcements & Homework Assignments:

Date

Announcement

Textbooks:    Course Notes, Eberhardt and Shumlak (Available at the Copy Center in Communications B042.)
                       No required textbook

Textbooks available for 24 hour loan at the Engineering Library Reserve Desk:
                       Numerical Computation of Internal & External Flows, vol 1-2, Hirsch
                       Computational Fluid Dynamics, vol 1-2, Hoffmann and Chiang
                       Computational Fluid Dynamics, Wendt
                       Computational Fluid Mechanics and Heat Transfer, Anderson, Tannehill, and Pletcher

Grading:      Computer Projects 70%
                      Homework 15%
                      Midterm 15%
                      No Final Exam


Course Content:

AA 543 is an introductory, graduate-level course in computational fluid dynamics. The student will be exposed to the following topics:

  • Introduction to CFD, Applications, Current Computer Architectures
  • Governing Equations & Assumptions, Equation Types, Model Equations, Potential Flow, Heat Conduction, Wave Eqn, Burger’s Eqn, Euler Eqns
  • Panel Methods, Finite Differences, Algorithms, Errors and Accuracy, Consistency Stability and Convergence, Finite Volumes, Explicit Algorithms, Implicit Algorithms, Numerical Boundary Conditions, Method of Lines, Shock Jump Relations, Shock Capturing, Elliptic Methods for Subsonic Potential Flow, Relaxation Algorithms
  • 1-D Euler Eqns, Lax-Wendroff Scheme, MacCormack Scheme, Implicit q-method, Pseudo 1-D Euler Eqns, Boundary Conditions, Flux-Splitting, Artificial Viscosity, Flux Limiters
  • Multi-Dimensional Euler Eqns, Lax-Wendroff and MacCormack Schemes, Stability of Multi-Dimensional Schemes, Operator Splitting, Implicit Algorithms, Beam Warming Algorithm, Approximate Factorization, Other Algorithms
  • Generalized Coordinates, Coordinate Transformations, Boundary Conditions in Generalized Coordinates, Introduction to Grid Generation
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last updated on Sunday, 30-Mar-2008 11:38:28 PDT
University of Washington
Department of Aeronautics & Astronautics