ACFD2

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Course Outline
Course No.

M2795.005500

Lecture No.   Course Title

Advanced Computational Fluid Dynamics II

(Discretizations of Euler Equations)
Credits 3
Instructor Name : Chongam Kim Homepage : http://mana.snu.ac.kr
E-mail : chongam@snu.ac.kr office : 880-1915
1. Goals

This course will deal with the methods and concepts of the numerical analysis of fluid flow governed by nonlinear systems of partial differential equations. We will study the basic discretization method and the relevant stability analysis, and extend them to the Euler and Navier-Stokes equations. Within the framework of the finite volume method, the numerical techniques to deal with nonlinear convective fluxes and time integration term will be covered. On top of it, the 1-D and 2-D numerical codes are programed, and applied to various test flow problems to examine the physical/numerical aspects of computational modeling.

2. Textbook
& References

1. Lecture Notes

2. Finite Volume Methods for Hyperbolic Problems by Leveque, Cambridge

3. Riemann Solvers and Numerical Methods for Fluid Dynamics by Toro, 2nd or 3rd Ed., Springer

4. Computational Fluid Mechanics and Heat Transfer by Tannehill, Anderson and Pletcher, 2nd Ed., Taylor & Francis

3.Evaluation

Oral presentation (30%), Reports for term projects (70%)

4. Lecture Plan Week Contents
1

Brief review on hyperbolic scalar conservation law

2

Mathematical and physical aspects of the Euler equations

3

Discretization of the Euler equations: Finite difference discretization

4

Discretization of the Euler equations: Finite volume discretization and numerical flux functions

5

Discretization of the Euler equations: FVS, FDS and Riemann solvers

6

Discretization of the Euler equations: Introduction to higher-order (beyond 2nd-order) discretization

7

Term project 1: Discretization of the 1-D Euler equations and coding

8

Discretization of the Euler equations: Time integration techniques

9

Discretization of the Euler equations: Wall and far field boundary conditions

10

Report and/or oral presentation for term project 1

11

Discretization of the Euler equations: Extensions to the 2-D and 3-D cases (Cont'd)

12

Term project 2: Discretization of the 2-D Euler equations and coding

13

Discretization of the Navier-Stokes equations: RANS formulations

14

Discretization of the Navier-Stokes equations: Brief introduction to turbulence models

15

Report and/or oral presentation for term project 2