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  1. Computational Mathematics and Mathematical Physics
  2. Computational Mathematics and Mathematical Physics : Volume 46
  3. Computational Mathematics and Mathematical Physics : Volume 46, Issue 11, November 2006
  4. Study of vortex breakdown in a stratified fluid
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Computational Mathematics and Mathematical Physics : Volume 57
Computational Mathematics and Mathematical Physics : Volume 56
Computational Mathematics and Mathematical Physics : Volume 55
Computational Mathematics and Mathematical Physics : Volume 54
Computational Mathematics and Mathematical Physics : Volume 53
Computational Mathematics and Mathematical Physics : Volume 52
Computational Mathematics and Mathematical Physics : Volume 51
Computational Mathematics and Mathematical Physics : Volume 50
Computational Mathematics and Mathematical Physics : Volume 49
Computational Mathematics and Mathematical Physics : Volume 48
Computational Mathematics and Mathematical Physics : Volume 47
Computational Mathematics and Mathematical Physics : Volume 46
Computational Mathematics and Mathematical Physics : Volume 46, Issue 12, December 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 11, November 2006
Constructing regularization methods in the spaces of differentiable functions
Fast automatic differentiation as applied to the computation of second derivatives of composite functions
On necessary extremum conditions for finite-dimensional problems with inequality constraints
Bernstein polynomials and composite Bézier curves
Real-time calculation of the current state estimates for a class of delay systems
New numerical methods and some applied aspects of the p-regularity theory
Reductions of interval noncooperative games
Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier
Iterative proximal regularization method for finding a saddle point in the semicoercive Signorini problem
Two-end controllability of elastic vibrations of systems with distributed and lumped parameters
Grid approximation of singularly perturbed parabolic reaction-diffusion equations on large domains with respect to the space and time variables
An efficient numerical algorithm for simulating a two-dimensional glow discharge
Study of vortex breakdown in a stratified fluid
Variance of a standard vector Monte Carlo estimate in the theory of polarized radiative transfer
In memory of academician Dmitrii Evgen’evich Okhotsimskii (1921–2005)
Computational Mathematics and Mathematical Physics : Volume 46, Issue 10, October 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 9, September 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 8, August 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 7, July 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 6, June 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 5, May 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 4, April 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 3, March 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 2, February 2006
Computational Mathematics and Mathematical Physics : Volume 46, Issue 1, January 2006

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Study of vortex breakdown in a stratified fluid

Content Provider Springer Nature Link
Author Kshevetskii, S. P.
Copyright Year 2006
Abstract An analysis shows that nonsmooth solutions have to be considered. Weak solutions to the Euler equations describing an incompressible stratified fluid under gravity are defined and studied. The study makes use of a wave energy functional proposed for the nonlinear equations. It is shown that the Euler equations are insufficient for stating a well-posed generalized problem. Additional conditions based on physical considerations are proposed. One condition is energy conservation, and the other is a constraint imposed on the density, which is required for stability. A numerical method is developed that is used to analyze how wave breakdown in a stratified fluid depends on stratification. The numerical results are in satisfactory agreement with experiments.
Starting Page 1988
Ending Page 2005
Page Count 18
File Format PDF
ISSN 09655425
Journal Computational Mathematics and Mathematical Physics
Volume Number 46
Issue Number 11
e-ISSN 15556662
Language English
Publisher Nauka/Interperiodica
Publisher Date 2006-01-01
Publisher Place Moscow
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword generalization of the Euler equation for incompressible fluids total energy functional weak solution finite-difference method stratified fluid Computational Mathematics and Numerical Analysis
Content Type Text
Resource Type Article
Subject Computational Mathematics
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