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Numerical boundary conditions and computational modes. (English) Zbl 0272.76010


MSC:

76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
39A05 General theory of difference equations
Full Text: DOI

References:

[1] Chen, J. H., Finite Difference Methods and the Leading Edge Problem, (Ph.D. Thesis (July, 1971), AMS Dept. Princeton University)
[2] Platzman, G. W., The lattice structure of the finite-difference primitive and vorticity equations, Mon. Wea. Rev., 86, 8, 285-292 (1958)
[3] Nitta, T., The outflow boundary condition in numerical time integration of advective equations, J. Met. Soc. Japan, 40, 1, 13-24 (1962)
[4] Shapiro, M. A.; O’Brien, J. J., Boundary conditions for fine-mesh limited-area forecasts, J. Appl. Mat., 9, 345-349 (1970)
[5] Matsuno, T., Numerical integrations of the primitive equations by a simulated backward difference method, J. Met. Soc. Japan, Ser., 2, 44, 76-84 (1966)
[6] Hill, G. E., Grid telescoping in numerical weather prediction, J. Appl. Meteor., 7, 29-38 (1968)
[7] J. H. Chen and K. Miyakoda; J. H. Chen and K. Miyakoda
[8] Matsuno, T., False reflection of waves at the boundary due to the use of finite differences, J. Met. Soc. Japan, 44, 145-157 (1966)
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