AE 4802A
APPLIED COMPUTATIONAL FLUID DYNAMICS
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Course Description: Introduction to numerical
topics in computational fluid dynamics: classification of equations, discretization,
accuracy, stability, time integration schemes.
Utilization of grid generation, flow visualization, and flow simulation
software. Units = 2-0-2.
Prerequisites: AE
3021 (pre- or co-requisite)
Basic computer programming experience (e.g. JAVA, C+, FORTRAN, MATLAB ...)
Class Hours: MW
10:05am 10:55am
Office Hours: Th. 1-2pm
or other times by appointment
Instructor: Dr.
S.M. Ruffin 404-894-8200
Guggenheim Bldg. Rm 362 Email:
stephen.ruffin@aerospace.gatech.edu
Primary Text:
·
Computational Fluid Dynamics: The Basics with
Applications, Anderson, J.D., McGraw Hill, 1995.
Reference Material:
·
Computational Fluid Mechanics and Heat Transfer,
Second Edition, Tannehill, J.C., Anderson, D.A., and Pletcher, R.H.,
Taylor and Francis Publishers, 1997.
·
Numerical Computation of Internal and External
Flows, Hirsch, Ch., Volumes I and II, Wiley, 1988, 1990.
Exams: Single-sided, handwritten notes on 8 1/2 x 11
paper allowed. No other information
sources can be used (except your own brain)
Assignments:
·
Discussing formulation of problems and approach is fine
but each student must work the final solutions alone.
·
All assignments and projects are due at the beginning of
class on the date indicated.
·
Late assignments are deducted 10% credit if received by
the subsequent class period.
Assignments that are more that 1 class period late are not accepted
(except documented emergency).
Computer Projects:
For computer problems, each program the student uses and/or turns in must be a completely original work by that student. No pre-existing, or "canned", routines are to be used except those provided by the instructor.
Honor
Code: Students in this course and all other course at Georgia
Tech must abide by the Georgia Tech Honor Code. Please read the text of the Georgia Tech Honor Code which can be
found on the internet at http://www.honor.gatech.edu/
COURSE OUTLINE:
Hrs Topics
1.0 Experimental, theoretical & numerical approaches
2.0 Governing Equations: Navier-Stokes, Euler, Full Potential,
Transonic
Small Disturbance, and Linearized Potential Equation
0.5 Non-dimensionalization
1.0 Mathematical Classification of Equations
0.5 Characteristic Directions
0.5 Panel Method overview
0.5 Integral Boundary Layer method overview
1.0 Use of XFOIL code
0.5 Pressure and Skin Friction integration to obtain forces
1.0 Taylor Series Expansions
1.5 Consistency, Convergence, Stability
2.0 Generalized transformation
1.5 Basic requirements, structured topologies, unstructured,
terminology
1.5 Grid generation methods: algebraic, elliptic, hyperbolic
1.5 Elliptic Grid Generation
Line
Gauss Seidel Method
Thomas
Algorithm
Convergence
History and criteria
2.0 3-D Grid Generation
Use
of GRIDGEN
Grid
quality evaluation
VI. SOLUTION OF THE
UNSTEADY EULER EQUATIONS EXPLICIT SCHEMES
1.0 Runge-Kutta Schemes
3.0 Flux Vector Splitting: Steger & Warming and van Leer
approaches
1.0 Roes Approximate Riemann Solver
2.0 Flux Limiters, Total Variation Dimenishing Schemes (TVD)
VII. SOLUTION OF UNSTEADY
NAVIER-STOKES EQUATIONS
2.0 Use of GASP
1.0 Use of FIELDVIEW
0.5 Solution accuracy evaluation
Tentatively, the final grade will be based on:
Homework Assignments 20 %
Project #1 - 2-D Panel Method +
BL Analysis 10 %
Project #2 2-D Elliptic Grid
Generator 15 %
Project #3 3-D Wing Grid
Generation 10 %
Project #4 3-D Navier Stokes
Analysis 10 %
Term Paper 15
%
Final Exam 20
%
Note: The weighting above is subject to change.