Lecture 8 of 'Advanced Numerical Methods' (wi4212)

• The following subjects are discussed:
  
  
  • piecewise linear reconstruction, conservative
  • total variation, TVD total variation diminishing
  • flux limiters
  • TVD criterion of Harten
  • TVD domain in the theta, phi plane
  • Sweby domain
  • non-uniform grid
    
    
  Corresponding sections in the book: Section 6.11 - 6.17
  
  
• Exercises 6.6, 6.7 and 6.10 can be made.
  
  
• Additional information
  
  
  • Animation of some results from Figures 6.3.