Conservative CIP Transport in Meteorological Models

In order to improve the model representation, we have implemented the CIP-CSLR in meteorological models. Real-case simulations and idealized tests were carried out on the Earth Simulator with atmospheric general circulation models that only the watervapor and liquid water were transported with the CIP-CSLR method. Numerical experiments show that the CIP-CSLR scheme substantially improved the model outputs for both pure advection tests and the long-term climate simulations. Reasonable tropical precipitation is shown with the CIP-CSLR scheme, which is largely improved in comparison with the original spectral method. Using the CIP-CSLR on a new grid (Yin-Yang) system, we also achieved conservative and more accurate results of passive tracer advection with relatively fewer grid points compared with the latitude-longitude grid. Without polar singularity, the splitting procedure of CIP-CSLR achieves promising transport in spherical geometry even if large Courant number is specified.

[1]  P. Swarztrauber,et al.  A standard test set for numerical approximations to the shallow water equations in spherical geometry , 1992 .

[2]  Phillip A. Arkin,et al.  Analyses of Global Monthly Precipitation Using Gauge Observations, Satellite Estimates, and Numerical Model Predictions , 1996 .

[3]  E. J. Spee,et al.  An efficient horizontal advection scheme for the modeling of global transport of constituents , 1995 .

[4]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[5]  P. Woodward,et al.  The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .

[6]  Feng Xiao,et al.  Implementation of the CIP as the Advection Solver in the MM5 , 2003 .

[7]  A. Clappier.  A Correction Method for Use in Multidimensional Time-Splitting Advection Algorithms: Application to Two- and Three-Dimensional Transport , 1998 .

[8]  J. McGregor,et al.  Semi-Lagrangian Advection on Conformal-Cubic Grids , 1996 .

[9]  A. Kageyama,et al.  ``Yin-Yang grid'': An overset grid in spherical geometry , 2004, physics/0403123.

[10]  T. Yabe,et al.  Conservative and oscillation-less atmospheric transport schemes based on rational functions , 2002 .

[11]  G. Strang.  On the Construction and Comparison of Difference Schemes , 1968 .

[12]  S. Moorthi,et al.  Relaxed Arakawa-Schubert - A parameterization of moist convection for general circulation models , 1992 .

[13]  Feng Xiao,et al.  Constructing oscillation preventing scheme for advection equation by rational function , 1996 .

[14]  A. Simmons,et al.  Implementation of the Semi-Lagrangian Method in a High-Resolution Version of the ECMWF Forecast Model , 1995 .

[15]  Shian‐Jiann Lin,et al.  Multidimensional Flux-Form Semi-Lagrangian Transport Schemes , 1996 .

[16]  T. Yabe,et al.  The constrained interpolation profile method for multiphase analysis , 2001 .

[17]  P. Rasch.  Conservative Shape-Preserving Two-Dimensional Transport on a Spherical Reduced Grid , 1994 .

[18]  Hirofumi Tomita,et al.  Shallow water model on a modified icosahedral geodesic grid by using spring dynamics , 2001 .

[19]  Philip J. Rasch,et al.  Water vapor transport in the NCAR CCM2 , 1994 .