Contents

• Contents
• Definition of Numerical Simulation
  • Simulation
  • Numerical simulation
• The Relationship Between Observation, Theoretical Study And Numerical Simulation
  • Observation
  • Theoretical study
  • Numerical simulation
• Two Basic Types of Space Numerical Simulation
  • Particle simulation
  • MHD(Magnetohydrodynamics) simulation
• Components of MHD Numerical Simulation
  • Normalization of MHD equations
  • Equations
  • Time and space discretization and variable arrangement
  • Numerical differentiation
  • Errors
  • Boundary condition
  • Initial conditions
  • Time step
  • Computation scheme
• A Practical Example: One-Dimensional Shock-Tube Problem
  • Definition of problem
  • Boundary condition
  • Initial condition
  • Time and space discretization and variable arrangement
  • Computation scheme
• Conclusion
• Further Reading