Presentation of Petra Smolikova during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.

Contents :

• Eurelian approach (CFL criterion)
• Lagrangian approach: semi-Lagrangian scheme
  • algorithm
  • two or three time levels ?
  • how to find the origin points ?
  • interpolations
• Comparison of Eulerian versus SL scheme

Appendix 1 : Problem of Orographic resonance

• External resonance
  • 1D linear shallow water system
  • SL-SI treatment
  • Decenterng of SI-scheme
  • Tanguay-Ritchie method
  • Spatial averaging of higher order
• Internal resonance
  • SL spatial averaging of higher order

Appendix 2 : Links between different choices in the dynamics