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Smoothed Particle Hydrodynamics Stability Analysis
Journal of Computational Physics, 1995SPH (smoothed particle hydrodynamics) is a gridless Lagrangian technique which is appealing as a possible alternative to numerical techniques currently used to analyze large deformation events. A von Neumann stability analysis of the SPH algorithm has been carried out which identifies the criterion for stability or instability in terms of the stress ...
Swegle, J. W. +2 more
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Classical Hydrodynamic Stability Theory
2023Abstract The basic concepts of hydrodynamic stability theory are introduced, followed by a discussion of some of the main classical results. This includes the formulation of the Orr-Sommerfeld equation for parallel flows such as the flow in a channel, and quasi-parallel flows including some boundary layer flows.
Anatoly I. Ruban +2 more
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Bifurcation in Nonlinear Hydrodynamic Stability
SIAM Review, 1975The appearance of secondary motions in a viscous fluid field can be understood to some extent as a bifurcation phenomenon with exchange of stability between the basic and the secondary flow. This article summarizes the main mathematical results of bifurcation and stability in hydrodynamic stability theory so far obtained.
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Concept of hydrodynamic stability
2012In the beginning of this chapter, based on elementary physical example, a general idea of stability of motion with respect to disturbances is introduced. Then it is conceptualized for fluid dynamic applications. Stability of fluid flows is categorized in regards of the behavior of kinetic energy of a disturbance in time and space.
Andrey V. Boiko +3 more
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Classical Hydrodynamic Stability
1985Let Ω ⊂ R 3 be a domain (i.e. an open connected set) in which the flow of an incompressible viscous Newtonian fluid, acted upon by the body force f(x, t) takes place.
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Computing Problems in Nonlinear Hydrodynamic Stability
The Physics of Fluids, 1969Questions arising in nonlinear hydrodynamic stability such as the calculation of an equilibrium flow field when the basic flow is unstable, wavenumber selection, and successive instabilities are considered for the classical problem of flow between concentric rotating cylinders. Recent numerical and analytical work dealing with calculation of the Taylor
DiPrima, R. C., Rogers, E. H.
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Journal of Thermal Analysis and Calorimetry, 2020
Abderrahim Wakif +4 more
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Abderrahim Wakif +4 more
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Dynamical hadronization transition and hydrodynamical stability
Physical Review D, 1985We consider the thermodynamical and hydrodynamical stabilities of proposed mechanisms for the dynamical hadronization transition in both ultrarelativistic heavy-ion collisions and the very early universe. We develop very general criteria for hydrodynamical stability and apply them to a number of proposed solutions.
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Introduction to Hydrodynamic Stability
2002Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course,
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Numerical Methods for Hydrodynamic Stability Problems
SIAM Journal on Applied Mathematics, 1967Numerical methods for the solution of the Orr-Sommerfeld equations are considered. The problem is stated in §1, and the basic numerical tools (the setting up of the finite difference approximations, and the algorithm for solving the resulting algebraic eigenvalue problem) are developed in §§2 and 3.
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