Numerical methods in fluid mechanics: Difference between revisions

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==References==

<ol>

<refli>Zalesak, S. T., 2005. The design of flux-corrected transport algorithms for structured

grids. In: Kuzmin, D., L¨ohner, R., Turek, S. (Eds.), Flux-Corrected Transport.

Springer, pp. 29–78.</refli>

<li>Zalesak, S. T., 1979. Fully multidimensional flux-corrected transport algorithms for fluids.

Journal of Computational Physics.</li>

<li>Leonard, B. P., MacVean, M. K., Lock, A. P., 1995. The flux integral method fo multidimensional

convection and diffusion. Applied Mathematical Modelling.</li>

<li>Shchepetkin, A. F., McWilliams, J. C., 1998. Quasi-monotone advection schemes based

on explicit locally adaptive dissipation. Montlhy Weather Review</li>

<li>Jiang, C.-S., Shu, C.-W., 1996. Efficient implementation of weighed eno schemes. Journal

of Computational Physics</li>

<li>Finlayson, B. A., 1972. The Method of Weighed Residuals and Variational Principles.

Academic Press.</li>

<li>Durran, D. R., 1999. Numerical Methods for Wave Equations in Geophysical Fluid Dynamics.

Springer, New York.</li>

<li>Dukowicz, J. K., 1995. Mesh effects for rossby waves. Journal of Computational Physics</li>

<li>Canuto, C., Hussaini, M. Y., Quarteroni, A., Zang, T. A., 1988. Spectral Methods in

Fluid Dynamics. Springer Series in Computational Physics. Springer-Verlag, New York.</li>

<li>Butcher, J. C., 1987. The Numerical Analysis of Ordinary Differential Equations. John

Wiley and Sons Inc., NY.</li>

<li>Boris, J. P., Book, D. L., 1973. Flux corrected transport, i: Shasta, a fluid transport

algorithm that works. Journal of Computational Physics</li>

</ol>