An improved version of SLICE for conservative monotonic remapping on a C-grid

Quarterly Journal of the Royal Meteorological Society

Volumn 135, Issue 639, 2009, Pages 541-546

  Zerroukat, Mohamed ^a   Wood, N ^a   Staniforth, A ^a  

^a MET OFFICE   (United Kingdom)

Author keywords

Advection; Cascade; Conservation; Monotonicity; Remapping

Indexed keywords

ATMOSPHERIC MODEL; CASCADE; DISPERSION PROPERTIES; FURTHER DEVELOPMENT; LOSS OF ACCURACY; MONOTONICITY; REMAPPING; SEMI-LAGRANGIAN; STANDARD TESTS;

ADVECTION; ATMOSPHERIC MOVEMENTS; COMPUTATIONAL EFFICIENCY;

LAGRANGE MULTIPLIERS;

ADVECTION; ATMOSPHERIC MODELING; MAPPING; NUMERICAL METHOD; WEATHER FORECASTING;

EID: 67649424384     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.369     Document Type: Article

References (24)

1. Doswell CA. 1984. A kinematic analysis of frontogenesis associated with a nondivergent vortex. J. Atmos. Sci. 41: 1242-1248.
2. Kaas E. 2008. A simple and efficient locally mass conserving semi-Lagrangian transport scheme. Tellus A 60: 305-320.
3. Laprise JPR, Plante A. 1995. A class of semi-Lagrangian integrated mass (SLIM) numerical transport algorithms. Mon. Weather Rev. 123: 553-565.
4. Lauritzen PH, Kaas E, Machenhauer B. 2006. A mass-conservative semi-implicit semi-Lagrangian limited-area shallow-water model on the sphere. Mon. Weather Rev. 134: 1205-1221.
5. Lauritzen PH, Kaas E, Machenhauer B, Lindberg K. 2008. A massconservative version of the semi-implicit semi-lagrangian HIRLAM. Q. J. R. Meteorol. Soc. 134: 1583-1595.
6. Leslie LM, Purser RJ. 1995. Three-dimensional mass-conserving semi-Lagrangian scheme employing forward trajectories. Mon. Weather Rev. 123: 2551-2566.
7. Lin SJ, Rood RB. 1996. Multidimensional flux-form semi-Lagrangian transport schemes. Mon. Weather Rev. 124: 2046-2070.
8. Nair R, Côté J, Staniforth A. 1999a. Monotonic cascade interpolation for semi-Lagrangian advection. Q. J. R. Meteorol. Soc. 125: 197-212.
9. Nair R, Côté J, Staniforth A. 1999b. Cascade interpolation for semi-Lagrangian advection over the sphere. Q. J. R. Meteorol. Soc. 125: 1445-1468.
10. Nair R, Machenhauer B. 2002. The mass conservative cell-integrated semi-Lagrangian advection scheme on the sphere. Mon. Weather Rev. 130: 649-667.
11. Nair R, Scroggs J, Semazzi F. 2002. Efficient conservative global transport schemes for climate and atmospheric chemistry models. Mon. Weather Rev. 130: 2059-2073.
12. Nair R, Scroggs J, Semazzi F. 2003. A forward trajectory global semi-Lagrangian transport scheme. J. Comput. Phys. 190: 275-294.
13. Priestley A. 1993. A quasi-conservative version of the semi-Lagrangian advection scheme. Mon. Weather Rev. 121: 621-629.
14. Rančić M. 1992. Semi-Lagrangian piecewise biparabolic scheme for two dimensional horizontal advection of passive scalar. Mon. Weather Rev. 120: 1394-1406.
15. Rančić M. 1995. An efficient conservative monotonic remapping for semi-Lagrangian transport algorithms. Mon. Weather Rev. 123: 1213-1217.
16. Williamson DL. 2007. The evolution of dynamical cores for global atmospheric models. J. Meteorol. Soc. Japan 85B: 241-269.
17. Williamson DL, Drake JB, Hack JJ, Jakob R, Swarztrauber PN. 1992. A standard test set for numerical approximations to the shallow-water equations in spherical geometry. J. Comp. Phys. 102: 211-224.
18. Xiao F, Yabe T. 2001. Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation. J. Comput. Phys. 170: 498-522.
19. Zerroukat M, Wood N, Staniforth A. 2002. SLICE: A Semi-Lagrangian Inherently Conserving and Efficient scheme for transport problems. Q. J. R. Meteorol. Soc. 128: 2801-2820.
20. Zerroukat M, Wood N, Staniforth A. 2004. SLICE-S: A Semi-Lagrangian Inherently Conserving and Efficient scheme for transport problems on the sphere. Q. J. R. Meteorol. Soc. 130: 2649-2664.
21. Zerroukat M, Wood N, Staniforth A. 2005. A monotonic and positive-definite filter for a Semi-Lagrangian Inherently Conserving and Efficient (SLICE) scheme. Q. J. R. Meteorol. Soc. 131: 2923-2936.
22. Zerroukat M, Wood N, Staniforth A. 2006. The Parabolic Spline Method (PSM) for conservative transport problems. Int. J. Numer. Methods Fluid 11: 1297-1318.
23. Zerroukat M, Wood N, Staniforth A. 2007. Application of the Parabolic Spline Method (PSM) to a multi-dimensional conservative transport scheme (SLICE). J. Comput. Phys 225: 935-948.
24. Zerroukat M, Wood N, Staniforth A. 2008. Erratum for: A monotonic and positive-definite filter for a Semi-Lagrangian Inherently Conserving and Efficient (SLICE) scheme, Q. J. R. Meteorol. Soc., 131, 2923-2936. Q. J. R. Meteorol. Soc. 134: 280-281.