Non-Hydrostatic Model versioned documentations (2013)

In this page you will find the official scientific documentation of the Aladin NH model (authors : Pierre Bénard and Jan Masek).
The old versions of the documentation are archived (version 1 1995-2003, version 2.0.0 of December 2003, version 2.1 of December 2004, version 3.0 of July 2011), and for the latest version (version 3.1 of January 2013), the contents of the document is detailed :

• General remarks
  • Euler equation
  • Shallow-atmosphere and "classical" approximations
  • Mass-based coordinate
  • SI and ICI schmes
  • History of ALADIN-NH dynamical core
• Continuous equations in the cartesian system
  • Continuous Euler equations in pure mass-based coordinates
  • Continuous Euler equations in hybrid mass-based coordinates
  • Conservation of energy
  • Conservation of total angular momentum
  • Final form of dynamical model equations
• Associated linear continuous system
  • Choice of the linear system for Implicit treatments
  • Derivation of linear system
  • Structure equation
• Vertical discretization
  • Discretization of linear model
  • Discretization of discrete vertical operatoirs in the linear model
  • Discretization of the non-linear model
  • Elastic upper boundary condition for the non-linear model
  • Free-slip boundary conditions for the horizontal wind
  • Rigid bottom boundary condition for the non-linear model
  • Expression of w related terms
  • Expression of non-asvective terms
  • Conservation of energy by the vertical scheme
  • Conservation of angular momentum by the vertical scheme
• Time discretization
  • 3-TL SI SL scheme
  • 3-TL SI Eulerian scheme
  • 2-TL SI SL schemes
  • 2-TL NE ICI SL schemes
  • Choice of prognostic variables
  • Special explicit treatement for the X-term
  • Rigit bottom boundary condition in SL context
  • Solution of the implicit problem
  • Time filter
• Initialization / Coupling
  • Specification of the NH variables from an hydrostatic state
• References
• Appendix
  • Misleading terminology for PI
  • Top and bottom boundary conditions in mass-coordinate models, in ALADIN and ALADIN-NH
  • Impact of the additional tridiagonal matrix T*
  • Theoretical framework for stability analyses
  • Stability analyses: synthesis of results