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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)

Documents
Dynamics by JFG 219.3 kb / GZ