Lecture 14 of 'Advanced Numerical Methods' (wi4212)

• The following subjects are discussed:
  
  
  • Multidimensional hyperbolic scalar problems
  • donor-cell upwind method, corner-transport upwind method
  • von Neumann stability analysis
  • wave propagation, variable coefficient advection
  • high resolution correction, divergence free velocity fields
  • convergence of dimensional splitting, TVD in two dimensions
    
    
  Corresponding sections in the book: Chapter 20, except Section 20.9.
  
  
• Exercise 20.1 and 20.2.
  
  
• Additional information