Numerical Simulation for Fluid Dynamics

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Lecturer
Xiao Feng  Nagasaki Takao  Aoki Takayuki  Yokota Rio 
Place
Tue3-4(G511)  
Credits
Lecture2  Exercise0  Experiment0
Code
93029
Syllabus updated
2015/4/27
Lecture notes updated
2015/3/16
Semester
Spring Semester

Outline of lecture

The content of this English course includes:
繝サ Introduction and governing equations of fluid dynamics
繝サ Fundamentals of numerical methods
繝サ Accuracy and stability of numerical schemes
繝サ Numerical methods for incompressible flows
繝サ Numerical methods for compressible flows
繝サ Numerical methods for turbulent flows
繝サ Sparse matrix solver縲
繝サ Vortex Methods and Fast Multipole Methods
繝サ Accelerator (GPU) computing for CFD

Purpose of lecture

This English course presents the fundamental knowledge and preliminary applications of computational fluid dynamics, as well as efficient implementations on advanced hardware architectures. The students are expected to be able to use numerical methods to solve some typical problems in fluid dynamics through class instructions, exercises and programming practices.

Plan of lecture

Teaching agenda of spring semester 2015
4/7: Introduction and governing equations of fluid dynamics
4/14: Fundamentals of numerical methods(1)
4/21: Fundamentals of numerical methods(2)
4/28: Accuracy and stability of numerical schemes
5/12: Sparse matrix solver
5/19: Numerical methods for incompressible flows (1)
5/26: Numerical methods for incompressible flows (2)縲
6/2: Numerical methods for incompressible flows (3)
6/9: Numerical methods for turbulent flows
6/18: Numerical methods for compressible flows (1)
6/23: Numerical methods for compressible flows (2)
6/30: Numerical methods for compressible flows (3)
7/7: Conjugate Gradient Methods and Preconditioners
7/14: Vortex Methods and Fast Multipole Methods
7/21: Accelerator (GPU) computing for CFD

Textbook and reference

1. Anderson, J.D., Computational Fluid Dynamics - The Basics with Applications; McGraw-Hill, Inc. 1995
2. Hirsch C., Volume 1&2, Numerical Computational of Internal and External Flows;
John Wiley & Sons, 2001
3. Ferziger, J.H. and Peric, M., Computational Methods for Fluid Dynamics; Springer, 1999
4. Fletcher C.A.J., Computational Techniques for Fluid Dynamics; Springer, 2000
5. Cebeci, T. and Cousteix, J., Modeling and Computation of Boundary-Layer Flows; Horizons Publishing Inc. 1999, 2005

Related and/or prerequisite courses

The prospective students are expected to have finished the fundamental courses on mathematics and mechanics of under graduate level.

Evaluation

Class attendance, excises, tests and reports

Contact Information

xiaoツシes.titech.ac.jp

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