Lecture 7 of 'Advanced Numerical Methods' (wi4212)

• The following subjects are discussed:
  
  
  • piecewise linear reconstruction, conservative
  • Fromm method, choices for the slope
  • graphical explanation of oscilations
  • slope limiter, MUSCL
  • total variation, TVD total variation diminishing
  • monotonic preserving
  • flux limiters

    Typo: the second line of (6.17) should start with + instead of -

    
    
    
  Corresponding sections in the book: Section 6.3 - 6.11
  
  
• Exercises 6.1-6.5 can be made.
  
  
• Additional information
  
  
  • Animation of some results from Figures 6.3.