A class of single-cell high-order semi-Lagrangian advection schemes

Monthly Weather Review

Volumn 128, Issue 4, 2000, Pages 1165-1176

  Xiao, Feng ^a  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; ATMOSPHERIC DYNAMICS; NUMERICAL METHOD;

EID: 0034035837     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(2000)128<1165:ACOSCH>2.0.CO;2     Document Type: Article

References (15)

1. Akima, H., 1970: A new method of interpolation and smooth curve fitting based on local procedures. J. Assoc. Comput. Mach., 17, 589-602.
2. Bermejo, R., and A. Staniforth, 1992: The conversion of semi-Lagrangian advection schemes to quasi-monotone schemes. Mon. Wea. Rev., 120, 2622-2632.
3. Godlewski, E., and P. Raviart, 1996: Numerical Approximation of Hyperbolic System of Conservation Laws. Springer, 509 pp.
4. Hyman, J. M., 1983: Accurate monotonicity preserving cubic interpolations. SIAM J. Sci. Stat. Comput., 4, 645-654.
5. McDonald, A., 1984: Accuracy of multiply-upstream, semi-Lagrangian advection schemes. Mon. Wea. Rev., 112, 1267-1275.
6. Purnell, D. K., 1976: Solution of the advective equation by upstream interpolation with a cubic spline. Mon. Wea. Rev., 104, 42-48.
7. Ritchie, H., 1985: Application of a semi-Lagrangian integration scheme to the moisture equation in a regional forecast model. Mon. Wea. Rev., 113, 424-435.
8. Smolarkiewicz, P. K., and J. A. Pudykiewicz, 1992: A class of semi-Lagrangian approximations for fluids. J. Atmos. Sci., 49, 2082-2096.
9. Staniforth, A., and J. Côté. 1991: Semi-Lagrangian integration scheme for atmospheric models - A review. Mon. Wea. Rev., 119, 2206-2223.
10. Takacs, L. L., 1985: A two-step scheme for advection equation with minimized dissipation and dispersion errors. Mon. Wea. Rev., 113, 1050-1065.
11. Williamson, D. L., and P. J. Rasch, 1989: Two-dimensional semi-Lagrangian transport with shape-preserving interpolation. Mon. Wea. Rev., 117, 102-129.
12. Xiao, F., T. Yabe, and T. Ito, 1996a: Constructing oscillation preventing scheme for advection equation by rational function. Comput. Phys. Commun., 93, 1-12.
13. _, _, G. Nizam, and T. Ito, 1996b: Constructing a multi-dimensional oscillation preventing scheme for advection equation by rational function. Comput. Phys. Commun., 94, 103-118.
14. Yabe, T., and T. Aoki, 1991: A universal solver for hyperbolic-equations by cubic-polynomial interpolation. I. One-dimensional solver. Comput. Phys. Commun., 66, 219-232.
15. _, T. Ishikawa, P. Y. Wang, T. Aoki, Y. Kadota, and F. Ikeda, 1991: A universal solver for hyperbolic-equations by cubic-polynomial interpolation. 2. 2-dimensional and 3-dimensional solvers. Comput. Phys. Commun., 66, 233-242.