Simulation Astronomy

Slides

• 1. Numerical Solution of Advection Equation
• 2. Numerical Solution of Hydrodynamic Equations
• 3. Higher Order Accurate Schemes
• 4. Smoothed Particle Hydrodynamics

Sample Codes (Google Colaboratory)

• Advection Equation
  • Finite-difference Method (有限差分法)
  • Fintie-volume Method (有限体積法)
  • 2nd order method (MUSCL)
  • 5th order method (WENO and MP5)
• Hydrodynamical Equations
  • Exact Riemann Solver
  • 1st order Godunov Method (Shocktube problems)
  • 1st order Godunov Method (Propagation of sound waves)
  • 2nd order Godunov Method (Shocktube problems)
  • 2nd order Godunov Method (Propagation of sound waves)
• Smoothed Particle Hydrodynamics
  • SPH (Sod solution)
  • SPH (Blast wave)
  • Godunov SPH (Blast wave)