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Variational calculus - minimization (presentation, 2002)

2002-06-01T16:58:00Z

Presentation of Yves Boutelout during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.
Schedule of the lectures :
– first: a "cultural" lecture with historical digression about variational calculus
– then an introduction to the optimal estimation theory,
– and to variational data assimilation in meteorology
– finally a lecture on the minimization algorithms

- Numerical analysis

Numerical filters (presentation, 2002)

2002-06-01T15:54:00Z

Presentation of Piet Termonia during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.
Generalities :
– why do we need filters in the first place ?
– set the stage : notions, spectral, types
– NWP: discretization and truncation
– increasing the efficiency
– discussion
The specific LAM coupling problem seen as a filter
– introduction
– spurious reflections
– flow relaxation : Davies scheme
– implementation in ALADIN
– discussion

- Numerical analysis

Advection treatment (presentation, 2002)

2002-06-01T15:11:00Z

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 (…)

- Numerical analysis

Time discretization (presentation, 2002)

2002-06-01T15:00:00Z

Presentation of Petra Smolikova during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.
Contents : Explicit scheme Implicit scheme Decentering Semi-implicit scheme principle instability caused by non-linear terms P/C scheme The splitting method

- Numerical analysis

Space discretization methods (presentation, 2002)

2002-06-01T14:53:00Z

Presentation of Petra Smolikova during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.
Contents : Galerkin methods Spectral methods on the line and on the sphere equivalent grids truncation calculation of RHS limited area modelling comparison with FDM Finite elements method calculation of first derivatives

- Numerical analysis

Systems of equations (presentation, 2002)

2002-06-01T14:31:00Z

Presentation of Petra Smolikova during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.
Contents :
– The basic set of equations (fully compressible nonhydrostatic system)
– Basic atmospheric waves (sound waves ; internal gavity waves)
– Anelastic approximation
– Hydrostatic approximation
– Shallow water system (external gravity waves ; effect of the earth's rotation)

- Numerical analysis

Numerical analysis (presentation, 2002)

2002-06-01T14:10:00Z

Presentations of Joze Rakovec and Thomas Vrhovec during the ALATNET training course on Numerical Analysis in Kranjska Gora, 29-31 May 2002.
Contents (Joze Rakovec):
– Introduction
– Historical aspects
– Numerical schemes
– Non-linearity
Contents (Thomas Vrhovec):
– Grid point presentation of meteorological variables
– Spectral representation of meteorological variables
– Grid structure
– Boundary conditions
– Time integration
– Nonlinear advection equation
– Eulerian - (…)

- Numerical analysis