Explicit finite difference methods for variable velocity advection in the presence of a source

Computers and Fluids

Volumn 29, Issue 4, 2000, Pages 385-399

  Noye, B J ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Advection; Explicit; Finite differences; Second order; Semi Lagrangian; Source

Indexed keywords

EQUATIONS OF MOTION; FORCED CONVECTION; LAGRANGE MULTIPLIERS; VELOCITY;

CROWLEY FORMULA; HIGH ORDER FINITE DIFFERENCE METHOD; VARIABLE VELOCITY ADVECTION;

FINITE DIFFERENCE METHOD;

ADVECTION; FINITE DIFFERENCE TECHNIQUE;

EID: 0034192785     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(99)00029-8     Document Type: Article

References (17)

1. Holmgren P. An advection algorithm and an atmospheric airflow application. J. Comp. Phys. 115:1994;24-42.
2. Noye B.J. Numerical methods for solving the transport equation. Noye J. Numerical modelling: applications to marine systems. 1987;195-229 Elsevier, North Holland.
3. Orlob G.T. Mathematical modelling of water quality: streams, lakes and reservoirs. 1982;Wiley, New York.
4. Leonard B.P., Niknafs H.S. The ultimate CFD scheme with adaptive discriminator for high resolution of narrow extrema. Hogarth W., Noye J. Computational techniques and applications: CTAC-89. 1990;303-310 Hemisphere, McGraw-Hill.
5. Noye B.J. Some explicit three-level finite difference simulations of advection. Math. Comp. in Simul. 32:1991;359-372.
6. Noye B.J. Some three-level finite difference methods of simulating advection in fluids. Comput. Fluids. 19:1991;119-140.
7. Noye B.J., von Trojan A. An explicit three-level fifth-order finite difference method for advection. May R.L., Easton A.K. Computational techniques and applications: CTAC-95. 1996;603-610 World Scientific, Singapore.
8. Staniforth A., Cote J. Semi-Lagrangian integration schemes for atmospheric models - a review. Mon. Weath. Rev. 119:1991;2206-2223.
9. Smolarkiewicz P.K. On the accuracy of the Crowley advection scheme. Mon. Weath. Rev. 113:1985;1425-1429.
10. Noye B.J., von Trojan A. An explicit finite-difference method for variable velocity advection. Noye J., Teubner M., Gill A. Computational techniques and applications: CTAC-97. 1998;513-520 World Scientific, Singapore.
11. Leith CE. Numerical Simulation of the Earth's Atmosphere. Report UCRL 7986-T, 1964.
12. Crowley W.P. Numerical advection experiments. Mon. Weath. Rev. 96:1968;1-11.
13. Yanenko N.N. The method of fractional steps. 1971;Springer-Verlag, New York. (English translation).
14. Lax P.D., Richtmyer R.D. Survey of the stability of linear finite difference equations. Commun. Pure Appl. Math. 9:1956;267-293.
15. Smith G.D. Numerical solution of partial differential equations. 3rd ed. 1985;Oxford University Press, Oxford.
16. O'Brien G.G., Hyman M.A., Kaplan S.A. A study of the numerical solutions of partial differential equations. J. Math. Phys. 29:1950;223-251.
17. Strikwerda J.C. Finite difference schemes and partial differential equations. 1989;Wadsworth and Brooks/Cole, California.