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Numerical calculation of internal wave motions

Published online by Cambridge University Press:  29 March 2006

James A. Young  and
C. W. Hirt
James A. Young
Affiliation:
Science Applications, Inc., La Jolla, California
C. W. Hirt
Affiliation:
University of California, Los Alamos Scientific Laboratory, Los Alamos, New Mexico
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Abstract

A finite-difference technique for the numerical calculation of two-dimensional stratified incompressible fluid flows is presented. Small density variations are not assumed, so that this method is generally applicable to a wide variety of problems. To illustrate this new technique a calculation has been made of the collapse of a uniformly mixed region in a linearly stratified fluid. In addition to giving excellent agreement with experimental data, the calculations also reveal the mechanism for an observed change in scaling behaviour.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 2 , 28 November 1972 , pp. 265 - 276
Copyright
© 1972 Cambridge University Press

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References

Amsden, A. A. & Harlow, F. H. 1970 The SMAC method: a numerical technique for calculating incompressible fluid flows. Los Alamos Sci. Lab. Rep. LA-4370.
Harlow, F. H. & Welch, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys, Fluids, 8, 2182.Google Scholar
Hirt, C. W. 1968 Heuristic stability theory for finite-difference equations. J. Comp. Phys. 2, 339.Google Scholar
Hirt, C. W. & Cook, J. L. 1972 Calculating three-dimensional flows around structures and over rough terrain. J. Comp. Phys. to be published.Google Scholar
Nichols, B. D. & Hirt, C. W. 1971 Improved free surface boundary conditions for numerical incompressible flow calculations. J. Comp. Phys. 8, 434.Google Scholar
Wessel, R. W. 1969 Numerical study of the collapse of a perturbation in an infinite, density stratified fluid. Phys. Fluids, 12 (suppl.), II-171.Google Scholar
Wu, J. 1969 Mixed region collapse with internal wave generation in a density-stratified medium. J. Fluid Mech. 35, 531.Google Scholar