## 주메뉴

### Numerical Simulations

• 경희대학교
• 테츠야 마가라 • 주제분류
자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >우주과학
• 강의학기
2015년 2학기
• 조회수
2,741
•
Numerical simulation is a powerful and useful tool to understand complicated physical phenomena changing with time and space, where diffusion, convection, wave propagation and shock formation are involved. We start by learning basic features of partial differential equations (PDEs) that describe those phenomena. We then study how these equations are converted to the form suitable for numerical simulation. We also do a practical training of writing a numerical code and running a code to perform a simulation. Finally, we master how to use a data analysis software IDL (Interactive Data Language).

#### 차시별 강의      1. 강의계획서  Introduction Numerical simulations of space plasmas I  Introduction Numerical simulations of space plasmas II 2. Basic features of partial differential equations (PDEs) I Three types of PDEs I  Basic features of partial differential equations (PDEs) I Three types of PDEs II 3. Basic features of PDEs II Characteristics of PDEs I  Basic features of PDEs II Characteristics of PDEs II  Basic features of PDEs II Characteristics of PDEs III 4. Convert PDE to the form suitable for numerical simulation I Discretization of PDE 5. Convert PDE to the form suitable for numerical simulation II Forward, centered and backward difference methods 6. 1-dimensional thermal conduction problem I Derive FTCS scheme for thermal conduction PDE 7. 1-dimensional thermal conduction problem II Explain basics of Fortran I  1-dimensional thermal conduction problem II Explain basics of Fortran II 8. Practical training of writing a code in computer languages How to write a code of FTCS scheme in Fortran  Practical training of writing a code in computer languages How to write data-analysis programs in IDL 9. 1-dimensional advection problem I Stability of numerical schemes I  1-dimensional advection problem I Stability of numerical schemes II 10. 1-dimensional advection problem II FTCS scheme for advection PDE  1-dimensional advection problem II Lax-Wendroff scheme for advection PDE 11. Advanced numerical scheme for advection Numerical diffusion & oscillation  Advanced numerical scheme for advection Artificial viscosity in advection PDE 12. Advanced numerical scheme for advection Flux limitor in advection PDE 13. 1-dimensional hydrodynamic problem I Fluid dynamic equations (FDEs) I  1-dimensional hydrodynamic problem I FDEs II 14. 1-dimensional hydrodynamic problem II Conserved form of FDEs I  1-dimensional hydrodynamic problem II Conserved form of FDEs II 15. Advanced numerical scheme for hydrodynamics Upwind & Laxwendroff schemes for 1-dimensional FDEs and artificial viscosity  Advanced numerical scheme for hydrodynamics Normalization  Shock wave problem Demonstrate numerical simulations of shock wave #### 연관 자료 #### 사용자 의견 