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Computational Fluid Dynamics

MAE 16:650:534, Spring, 2009

MTh 12:00-1:20pm, ARC 110

 

Instructor:       Hao Lin

                              Office: Busch Engineering Bldg B-222

                              Phone: 732-445-2322

                              Email: hlin@jove.rutgers.edu

                              Web: http://sakai.rutgers.edu  

 

 

Text:                    Not required.

 

References:      Fundamentals of Engineering Numerical Analysis, P. Moin

                              Computational Fluid Mechanics and Heat Transfer, D.A. Anderson, J.C. Tannehilll, and R.H. Pletcher

                              Computational Techniques for Fluid Dynamics, C.A.J. Fletcher

                              Spectral Methods for Incompressible Viscous Flow, R. Peyret

                              Spectral Methods in MATLAB, L.N. Trefethen

                              Finite Volume Methods for Hyperbolic Problems, R.J. LeVeque

                              Fluid Mechanics, Kundu & Cohen

                              Fluid Mechanics, R.L. Panton

                         

Grading:            Homeworks 40%, Midterm 30%, Final/Final Project 30%

                              Late HW Score = Original Score * exp (-0.5*days of being late)

                              You are encouraged to discuss your colleagues, but you MUST

                              finish your work independently

 

Office Hours:   Thurs 5-6 pm or by appointment

 

Syllabus:

1. Introduction

2. Review of basic fluid mechanics, ODE, and PDE

3. Discrete representation

4. Numerical methods for ODE

5. Numerical methods for PDE

6. Iterative schemes

7. Spectral methods (Optional: hydrodynamic instability)

8. Solution techniques for incompressible flows

9. Optional: Flows in complex geometry

10. Optional: Finite volume methods for hyperbolic equations

11. Numerical techniques for heat transfer

 

Prerequisite:    Basic fluid mechanics, linear algebra, ODE & PDE, basic numerical analysis, basic programming.