ICONAM ICOsahedral Non-hydrostatic Atmospheric Model -

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Presentation transcript:

ICONAM ICOsahedral Non-hydrostatic Atmospheric Model - 20.08.10 ICONAM ICOsahedral Non-hydrostatic Atmospheric Model - model core formulation on triangular and hexagonal C-grids Almut Gassmann (Max Planck Institute for Meteorology, Hamburg, Germany) Günther Zängl (Deutscher Wetterdienst, Offenbach (Main), Germany) and the ICON group at MPI-M and DWD

ICON: tool for NWP and climate applications 20.08.10 ICON: tool for NWP and climate applications Wishes for the project some years ago: non-hydrostatic atmospheric model dynamics in grid point space triangular icosahedron grid local zooming with static or dynamic grid refinement transport scheme: conservative, positive definit, efficient dynamics conserves mass, energy, potential vorticity, and potential enstrophy coupling to ocean model, atmospheric chemistry, hydrology, and land model modulartity portability scalability and efficiency on multicore architectures from: http://infoskript.de/uploads/pics/Wollmilchsau.jpg

Non-hydrostatic atmospheric model - model core formulation 20.08.10 Non-hydrostatic atmospheric model - model core formulation Target system of equations: prognostic equations |·ρv (to obtain energy equ.) Π = Exner pressure θv = virtual pot. temperature ρ = density v = 3D velocity vector K = spec. kinetic energy Φ = geopotential ωa = 3D abs. vorticity vector Rd = gas constant for dry air cvd = spec. heat capacity at constant volume for dry air cpd = spec. heat capacity at constant pressure for dry air +physics Transport of virtual potential temperature is done with higher order advection. Additional transport equations for tracers will enter the system.

Triangular and hexagonal C-grids 20.08.10 Triangular and hexagonal C-grids

Triangular and hexagonal C-grids 20.08.10 Triangular and hexagonal C-grids Triangular C-grid divergence averaging C-grid dispersion properties lost 4-point tangential wind reconstruction horizontally (2D) vector invariant form conserves mass needs diffusion for stability Miura advection for ρ and ρθ static grid refinement implemented nearer to operational availability Hexagonal C-grid no divergence averaging C-grid dispersion properties retained 14-point tangential wind reconstruction 3D vector invariant form conserves mass and energy needs diffusion for nonlinear processes 3rd order upstream advection for θ static grid refinement not yet implemented still farther away from operational availability

Triangular and hexagonal C-grids 20.08.10 Triangular and hexagonal C-grids Further distinguishing features of the two model versions: a) implementation of terrain-following coordinates b) time stepping scheme

a) L-grid staggering + terrain-following coordinates 20.08.10 a) L-grid staggering + terrain-following coordinates Triangular C-grid main levels height-centered between interface levels horizontal pressure gradient: search for neighboring point in the same height reconstruct Exner function using a second order Taylor expansion w m w

a) L-grid staggering + terrain-following coordinates 20.08.10 a) L-grid staggering + terrain-following coordinates Hexagonal C-grid interface levels height-centered between main levels horizontal pressure gradient: covariant velocity equations remove background reference profile in each of them separately solve inverse problem for the lower boundary w m w

a) Acid test for terrain-following coordinates: 20.08.10 a) Acid test for terrain-following coordinates: Resting atmosphere over a high mountain Vertical slice model based on the hexagonal C-grid code Spurious vertical velocities remain in the range of mm/s. No errors spoil higher levels, compared to other models.

b) Time stepping scheme 20.08.10 b) Time stepping scheme Common features horizontally explicit (forward-backward) for waves vertically implicit scheme for waves no time splitting Triangular C-grid Adams-Bashford-Moulton time stepping for momentum advection Hexagonal C-grid approximately conserves energy (integration by parts rule in time) resembles in parts the Matsuno scheme (needs v(n+1) for the kinetic energy term)

20.08.10 Density current Vertical slice model based on the hexagonal C-grid code Essential feature: Higher order transport for potential temperature. Here: 3rd order upstream

Results for global testcases: Talk by Pilar Ripodas (DWD) 20.08.10 Results for global testcases: Talk by Pilar Ripodas (DWD) Grid refinement (triangular C-grid): Talk by Günther Zängl (DWD) Next steps implementation of physics parameterizations which are available from the COSMO model (DWD) hydrostatic version: implementation of ECHAM physics (MPI-M) grid refinement also for hexagonal C-grid version coupling to ocean model (under development at MPI-M) available for preoperational NWP runs next year