A general semi-Lagrangian advection scheme employing forward trajectories

Quarterly Journal of the Royal Meteorological Society

Volumn 123, Issue 544, 1997, Pages 2463-2476

  Sun, Wen Yih ^a,b   Yeh, Kao San ^a  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Eulerian Lagrangian networks; Finite difference techniques; Numerical accuracy tests

Indexed keywords

ADVECTION; EULERIAN-LAGRANGIAN ALGORITHM; METEOROLOGY;

ATMOSPHERIC DYNAMICS; EULERIAN GRID; FORWARD TRAJECTORY; MESOSCALE; SEMI-LAGRANGIAN ADVECTION SCHEME;

EID: 0031411248     PISSN: 00359009     EISSN: None     Source Type: Journal    
DOI: 10.1002/qj.49712354415     Document Type: Article

References (14)

1. Bates, J. R. and McDonald, A. 1982 Multiply-upstream, semi-Lagrangian advective schemes: analysis and application to a multilevel primitive equation model. Mon. Weather Rev., 110, 1831-1842
2. Bermejo, R. and Staniforth, A. 1992 The conversion of semi-Lagrangian advection schemes to quasi-monotone schemes. Mon. Weather Rev., 120, 2622-2632
3. de Boor, C. 1978 A practical guide to splines. Applied Mathematical Sciences, Vol. 27, Springer-Verlag, New York
4. Doswell, C. A. III 1984 A kinematic analysis associated with a nondivergent vortex. J. Atmos. Sci., 41, 1242-1248
5. Hólm, E.V. 1995 A fully two-dimensional, nonoscillatory advection scheme for momentum and scalar transport equations. Mon. Weather Rev., 123, 536-552
6. Pudykiewicz, J., Benoit, R. and Staniforth, A. 1985 Preliminary results from a partial LRTAP model based on an existing meteorological forecast model. Atmos.-Ocean, 23, 267-303
7. Purser, R. J. and Leslie, L. M. 1991 An efficient interpolation procedure for high-order three-dimensional semi-Lagrangian models. Mon. Weather Rev., 119, 2492-2498 1994 An efficient semi-Lagrangian scheme using third-order semi-implicit time integration and forward trajectories. Mon. Weather Rev., 122, 745-756
8. Purser, R. J. and Leslie, L. M. 1991 An efficient interpolation procedure for high-order three-dimensional semi-Lagrangian models. Mon. Weather Rev., 119, 2492-2498 1994 An efficient semi-Lagrangian scheme using third-order semi-implicit time integration and forward trajectories. Mon. Weather Rev., 122, 745-756
9. Ritchie, H. 1986 Eliminating the interpolation associated with the semi-Lagrangian scheme. Mon. Weather Rev., 114, 135-146
10. Selby, S. M. 1972 Standard mathematical tables, 20th edition, CRC Press, Cleveland, USA
11. Staniforth, A. and Côté, J. 1991 Semi-Lagrangian integration schemes for atmospheric models - a review. Mon. Weather Rev., 119, 2206-2223
12. Sun, W.-Y., Yeh, K.-S. and Sun, R.-Y. 1996 A simple semi-Lagrangian scheme for advection equations. Q. J. R. Meteorol Soc., 122, 1211-1226
13. Williamson, D. and Rasch, P. 1989 Two-dimensional semi-Lagrangian transport with shape-preserving interpolation. Mon. Weather Rev., 117, 102-129
14. Zalesak S. T. 1979 Fully multi-dimensional flux-corrected transport. J. Comput. Phys., 31, 335-362