The use of spline interpolation in semi-Lagrangian transport models

Monthly Weather Review

Volumn 126, Issue 7, 1998, Pages 2008-2016

  Riishojgaard L P ^a   Cohn, S E ^b   Li, Y ^a   Menard R ^a  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b NASA GODDARD SPACE FLIGHT CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BAROTROPIC MOTION; CLIMATE MODELING; LAGRANGIAN ANALYSIS;

EID: 0032445256     PISSN: 00270644     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0493(1998)126<2008:TUOSII>2.0.CO;2     Document Type: Article

References (14)

1. Bates, J. R., Y. Li, A. Brandt, S. F. McCormick, and J. Ruge, 1995: A global shallow-water numerical model based on the semi-Lagrangian advection of potential vorticity. Quart. J. Roy. Meteor. Soc., 121, 1981-2005.
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. Davis, P. J., 1979: Circulant Matrices. Wiley, 250 pp.
4. Huang, C. Y., 1994: Semi-Lagrangian advection schemes and Eulerian WKL algorithms. Mon. Wea. Rev., 122, 1647-1658.
5. Li, Y., S. Moorthi, and J. R. Bates, 1994: Direct solution of the implicit formulation of fourth order horizontal diffusion for gridpoint models on the sphere. NASA Tech. Memo. 104606, 41 pp. [Available from NASA CASI, Linthicum Heights, MD 21090-2934.]
6. Makar, P. A., and S. R. Karpik, 1996: Basis-spline interpolation on the sphere: Applications to semi-Lagrangian advection. Mon. Wea. Rev., 124, 182-199.
7. McDonald, A., 1984: Accuracy of multiply-upstream, semi-Lagrangian advective schemes. Mon. Wea. Rev., 112, 1267-1275.
8. Moorthi, S., and R. W. Higgins, 1992: A fast direct solver for a class of two-dimensional separable elliptic equations on the sphere. NASA Tech. Memo. 104567. [Available from NASA CASI, Linthicum Heights, MD 21090-2934.]
9. Polavarapu, S., M. Tanquay, R. Ménard, and A. Staniforth, 1996: The tangent linear model for semi-Lagrangian schemes: Linearizing the process of interpolation. Tellus, 48A, 74-95.
10. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, 1992: Numerical Recipes. 2d ed. Cambridge University Press, 963 pp.
11. Pudykiewicz, J., and A. Staniforth, 1984: Some properties and comparative performance of the semi-Lagrangian method of Robert in the solution of the advection-diffusion equation. Atmos.-Ocean, 22, 283-308.
12. Purnell, D. K., 1976: Solution of the advective equation by upstream interpolation with a cubic spline. Mon. Wea. Rev., 104, 42-48.
13. Riishøjgaard, L. P., 1996: On four-dimensional variational assimilation of ozone data in weather prediction models. Quart. J. Roy. Meteor. Soc., 122, 1545-1571.
14. Sod, G. A., 1985: Numerical Methods in Fluid Dynamics: Initial and Boundary Value Problems. Cambridge University Press, 446 pp.