Jean-François Geleyn’s essential training course on Dynamics (2000)
Article published on 11 January 2000
last modification on 8 December 2005
Contents of this training course on Dynamics :
- THE SPECTRAL METHOD
-
- GENERALITIES
- MATHEMATICAL BASIS
- COMPARED PROS AND CONS WITH FINITE DIFFERENCES
- GLOBAL UNIFORM APPLICATION
- GLOBAL VARIABLE RESOLUTION APPLICATION
- LIMITED AREA MODELLING (LAM) APPLICATIONS
- LINK WITH TIME-STEPPING SCHEMES
- LINK WITH PHYSICAL PARAMETERISATIONS
- LINK WITH DATA ASSIMILATION METHODS
- SUMMARY
- SPECIFIC APPLICATION OF THE SPECTRAL METHOD TO ARPEGE
-
- DEGREES OF FREEDOM OF THE SCHMIDT TRANSFORM
- PROBLEMS LINKED WITH THE USE OF THE STRETCHED GEOMETRY
- ALADIN-LINKED IMPLICATIONS FOR THE CODE
- SPECIFIC APPLICATION OF THE SPECTRAL METHOD TO ALADIN
-
- CHOICE OF THE PROJECTED GEOMETRY
- BIPERIODICISATION
- REPRESENTATION OF THE MAP FACTOR
- GEOMETRICAL ASPECTS OF THE COUPLING PROBLEM
- PRACTICAL IMPLICATIONS
- HORIZONTAL DIFFUSION
-
- GENERAL FORMULATION OF THE PROBLEM
- APPLICATIONS IN STRETCHED ARPEGE
- APPLICATION TO ALADIN
- PERSPECTIVES
- EULERIAN VERSION OF THE TIME STEP
-
- THE BASIC «LEAP-FROG» EXPLICIT SCHEME
- THE SEMI-IMPLICIT SCHEME
- APPLICATION OF THE SEMI-IMPLICIT SCHEME TO ALADIN’S COUPLING
- THE SPECIAL CASE OF THE PHYSICS
- THE PROBLEM OF FIBRILLATIONS
- LEAP-FROG (SEMI-IMPLICIT) SEMI-LAGRANGIAN VERSION
-
- BASIC IDEAS ABOUT THE SEMI-LAGRANGIAN TECHNIQUE
- PROBLEM OF THE INTERPOLATIONS
- PROBLEM OF THE OROGRAPHIC RESONANCE
- DIVERGENCE DAMPING AND FIRST ORDER DECENTERING
- THE METHOD OF RITCHIE & TANGUAY (CONTINUITY AND THERMODYNAMICS EQUATIONS)
- WHERE TO COMPUTE THE PHYSICS ?
- LINK BETWEEN DYNAMICS AND PHYSICS
- TRAJECTORIES NEAR THE EDGES OF THE C+I DOMAIN
- NON INTERPOLATING VERTICAL PART OF THE SCHEME
- TWO-TIME-LEVEL (SEMI-IMPLICIT) SEMI-LAGRANGIAN VERSION
-
- ARGUMENTATION IN FAVOUR OF THE SWITCH TO UNCENTRED STEPS
- THE PROBLEM OF THE TIME EXTRAPOLATION OF THE CORIOLIS TERM
- INTERACTION WITH TRAJECTORIES CUTTING THE EDGES
- MORE ACCURATE EXTRAPOLATIONS AND SECOND ORDER DECENTERING
- THE STABILITY PROBLEM OF THE SEMI-IMPLICIT SCHEME
- PSEUDO SECOND-ORDER DECENTERING
- PERSPECTIVES (TIME-SCHEMES PART)