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Original Articles

Finite difference approximations to the advection-diffusion equation

Pages 261-269 | Received 25 Feb 1991, Accepted 16 Sep 1991, Published online: 15 Dec 2016

References

  • Fiadeiro, M. E. and Veronis, G. 1977. On weighted-mean schemes for the finite-difference approximation to the advection-diffusion equation. Tellus 29, 512–522.
  • Musgrave, D. L. 1985. A numerical study of the roles of subgridscale mixing and the western boundary current on homogenization of a passive tracer. J. Geophys. Res. 90, 7037–7043.
  • Lin, C. A. 1990. A two-dimensional advection-diffusion ocean model with anisotropic diffusion. Geophys. Astrophys. Fluid Dyn. 54, 229–255.
  • Wright, D. G. and Stocker, T. S. 1991. A zonally averaged ocean model for the thermohaline circulation. Part I: Model development and flow dynamics. J. Phys. Oceanogr., in press.
  • Press, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling, W. T. 1986. Numerical Recipies - The art of scientific computing. Cambridge University Press, pp. 625–626.
  • Smolarkiewicz, P. K. 1983. A simple positive definite advection scheme with small implicit diffusion. Mon. Wea. Rev. 111, 479–486.
  • Young, D. and Gregory, R. T. 1973. A survey of numerical mathematics, vol. II. Reading, Mass.: Addison—Wesley Publishing Co., 1099 pp.