고급전산유체역학2

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M2795.005500

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고급전산유체역학2

(Discretizations of Euler Equations)

학점 3
담당교수 성명 : 김종암 홈페이지 : http://mana.snu.ac.kr
E-mail : chongam@snu.ac.kr office : 880-1915
1.수업목표

고급전산유체역학 I에서 배운 편미분 방정식의 기초 및 기본적인 이산화 기법을 기반으로 2학기에서는 유체역학의 지배방정식인 Euler 및 Navier-Stokes 방정식에 대한 유동해석 기법 전반 및 coding 기법에 대해서 논의한다. 이를 바탕으로 실질적인 공학적 응용문제를 해석 / 설계할 수 있는 능력을 기르는 것을 목표로 한다.

2.교재 및
참고문헌

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.평가방법

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

4.강의계획 강의내용
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