El método de reducción cíclica a la Educación de Vorticidad

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Published: Apr 1, 1986
DOI: https://doi.org/10.22201/igeof.00167169p.1986.25.2.848
Keywords:
Cyclic reduction, Non-divergence vorticity equation, Numerical methods

Main Article Content

I. Pérez García
Universidad Nacional Autónoma de México. Centro de Ciencias de la Atmósfera
R. Murillo
Sría. de Agricultura y Recursos Hidráulicos, México, D. F., México.
D. Castelan
Sría. de Agricultura y Recursos Hidráulicos, México, D. F., México.

Abstract

A direct numerical method of cyclical reduction is analized to solve elliptical equations. The results show a larger range in the weather forecasting when using this method in the equation of non-divergent vorticity introducing the Arakawa's Jacobean and the Laplacian's truncate at 4th order and real boundary conditions.

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How to Cite
Pérez García, I., Murillo, R., & Castelan, D. (1986). El método de reducción cíclica a la Educación de Vorticidad. Geofisica Internacional, 25(2), 327–345. https://doi.org/10.22201/igeof.00167169p.1986.25.2.848
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Vol. 25 No. 2 (1986): April 1, 1986
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References

ARAKAWA, A., 1972. Design of the UCLA General Circulation model. Dept. of Met., Univ. of Calif., Los Angeles, Technical Rep. No. 7.

BARRETO, B. F., 1983. Solución de la ecuación de Helmholtz usando análisis de Fourier con reducción cíclica recursiva y su aplicación en la predicción numérica. Tesis Profesional, Junio 1983, Fac. de Ciencias. UNAM.

BENNETT, A. F. and P. E. KLOEDEN, 1978. Boundary Conditions for Limited-Area Forecasts. J. Atm. Sci., 35, 990-996. DOI: https://doi.org/10.1175/1520-0469(1978)035<0990:BCFLAF>2.0.CO;2

BUNEMAN, O., 1969. A compact non-iterative Poisson solver, Rep. 294. Stanford University for Plasma Research, Stanford, Calif.

BUZBEE, B. L., G. H. GOLUB and C. W. NIELSON, 1970. On direct methods for solving Poisson's Equation. SIAM J. Num. Anal., 7, 627-656. DOI: https://doi.org/10.1137/0707049

CHARNEY. J. G. R. FJORTOFT and J. VON NEUMAN, 1950. Numerical Integration of the barotropic vorticity equation. Tellus, 2, 237-254. DOI: https://doi.org/10.1111/j.2153-3490.1950.tb00336.x

HOCKNEY, R. W., 1965. A fast direct solution of Poisson's equation using Fourier analysis. J. Assoc. Com. Mach., 12, 95-113. DOI: https://doi.org/10.1145/321250.321259

KRISHNAMURTI, T. N., H. L. PAN, C. B. CHANG, J. PLOSHAY, D. WALKER and A. W. OODALLY, 1979. Numerical Weather Prediction for GATE. Quart. J. Roy. Met. Soc. October. DOI: https://doi.org/10.1002/qj.49710544617

MILNE, W. E., 1970. Numerical Solution of Differential Equations. Dover.

ROSMOND, T. F. and F. D. FAULKNER, 1976. Direct Solution of Elliptic Equations by Block Cyclic Reduction and Factorization. Mon. Wea. Rev., 104, 641-649. DOI: https://doi.org/10.1175/1520-0493(1976)104<0641:DSOEEB>2.0.CO;2

SHUMAN, F. G., 1957. Numerical Methods in Weather Prediction: Smoothing and Filtering. Mon. Wea. Rev., 85, 357-361. DOI: https://doi.org/10.1175/1520-0493(1957)085<0357:NMIWPI>2.0.CO;2

STOER, J. and R. BULIRSCH, 1980. Introduction to Numerical Analysis. Berlin, Heidelberg, New York: Springer-Verlag. DOI: https://doi.org/10.1007/978-1-4757-5592-3

TAUBENSEE, R. E., 1979. Weather and Circulation of June 1979-Record Cold in the Southeast. Mon. Wea. Rev., 107, 1230-1235. DOI: https://doi.org/10.1175/1520-0493(1979)107<1230:WACOJC>2.0.CO;2

THOMPSON, R. A., S. W. PAYNE, E. E. RECKER and R. J. REED, 1979. Structure and properties of synoptic-scale wave disturbances in the intertropical convergence zone of the Eastern Atlantic. J. Atmos. Sci., 36, 53-72. DOI: https://doi.org/10.1175/1520-0469(1979)036<0053:SAPOSS>2.0.CO;2