Relevant bibliographies by topics / Hydrodynamic stability theory

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Hydrodynamic stability theory'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Hydrodynamic stability theory"

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Georgescu, A., and J. T. Stuart. "Hydrodynamic Stability Theory." Journal of Applied Mechanics 54, no. 1 (March 1, 1987): 250. http://dx.doi.org/10.1115/1.3172987.

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Dauchot, Olivier, and Paul Manneville. "Local Versus Global Concepts in Hydrodynamic Stability Theory." Journal de Physique II 7, no. 2 (February 1997): 371–89. http://dx.doi.org/10.1051/jp2:1997131.

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Malik, Mujeeb R. "Review of "Theory and Computation in Hydrodynamic Stability."." AIAA Journal 43, no. 4 (April 2005): 924–25. http://dx.doi.org/10.2514/1.16537.

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Yano, Masayuki, and Anthony T. Patera. "A space–time variational approach to hydrodynamic stability theory." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, no. 2155 (July 8, 2013): 20130036. http://dx.doi.org/10.1098/rspa.2013.0036.

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We present a hydrodynamic stability theory for incompressible viscous fluid flows based on a space–time variational formulation and associated generalized singular value decomposition of the (linearized) Navier–Stokes equations. We first introduce a linear framework applicable to a wide variety of stationary- or time-dependent base flows: we consider arbitrary disturbances in both the initial condition and the dynamics measured in a ‘data’ space–time norm; the theory provides a rigorous, sharp (realizable) and efficiently computed bound for the velocity perturbation measured in a ‘solution’ space–time norm. We next present a generalization of the linear framework in which the disturbances and perturbation are now measured in respective selected space–time semi-norms ; the semi-norm theory permits rigorous and sharp quantification of, for example, the growth of initial disturbances or functional outputs. We then develop a (Brezzi–Rappaz–Raviart) nonlinear theory which provides, for disturbances which satisfy a certain (rather stringent) amplitude condition, rigorous finite-amplitude bounds for the velocity and output perturbations. Finally, we demonstrate the application of our linear and nonlinear hydrodynamic stability theory to unsteady moderate Reynolds number flow in an eddy-promoter channel.
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Heng, Zhou, and K. Fujimura. "Further improvement of weakly nonlinear theory of hydrodynamic stability." Science in China Series A: Mathematics 41, no. 1 (January 1998): 84–92. http://dx.doi.org/10.1007/bf02900777.

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Shao, Song Shi, Jiong Sun, and Kai Liu. "Bifurcation Analysis for Sailing Stability of Autonomous Underwater Vehicle." Applied Mechanics and Materials 44-47 (December 2010): 1682–86. http://dx.doi.org/10.4028/www.scientific.net/amm.44-47.1682.

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There are several nonlinear elements in the equations of Autonomous Underwater Vehicle(AUV) movements. It is difficult to deal nonlinear problem with traditional methods. A hydrodynamic parameter interference is chosen as bifurcation parameter at first. Then the sailing stability of AUV with proportional-derivative controller is analysed by bifurcation theory. The center manifold theory is used to get the expression of system state parameters. And the Hopf bifurcation of system is analysed. The result is verified by numerical simulations. It shows that the hydrodynamic parameter’s changing will bring Hopf bifurcation for depthkeeping saiiling. And the range of hydrodynamic parameter value that insures AUV sailing stability is given.
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Andreichenko, D. K., and K. P. Andreichenko. "On the theory of stability of a cylindrical hydrodynamic suspension." Fluid Dynamics 44, no. 1 (February 2009): 10–21. http://dx.doi.org/10.1134/s0015462809010025.

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Chow, Carson C., and Terence Hwa. "Defect-mediated stability: an effective hydrodynamic theory of spatiotemporal chaos." Physica D: Nonlinear Phenomena 84, no. 3-4 (July 1995): 494–512. http://dx.doi.org/10.1016/0167-2789(95)00072-c.

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Kuhlmann, H. C., and H. J. Rath. "Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges." Journal of Fluid Mechanics 247 (February 1993): 247–74. http://dx.doi.org/10.1017/s0022112093000461.

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The hydrodynamic stability of steady axisymmetric thermocapillary flow in a cylindrical liquid bridge is investigated by linear stability theory. The basic state and the three-dimensional disturbance equations are solved by various spectral methods for aspect ratios close to unity. The critical modes have azimuthal wavenumber one and the most dangerous disturbance is either a pure hydrodynamic steady mode or an oscillatory hydrothermal wave, depending on the Prandtl number. The influence of heat transfer through the free surface, additional buoyancy forces, and variations of the aspect ratio on the stability boundaries and the neutral mode are discussed.
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Khayat, Roger E., and Byung Chan Eu. "Generalized hydrodynamics and linear stability analysis of cylindrical Couette flow of a dilute Lennard–Jones fluid." Canadian Journal of Physics 71, no. 11-12 (November 1, 1993): 518–36. http://dx.doi.org/10.1139/p93-081.

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Linear stability analysis is carried out for cylindrical Couette flow of a Lennard–Jones fluid in the density range from the dense liquid to the dilute gas regime. Generalized hydrodynamic equations are used to calculate marginal stability curves and compare them with those obtained by using the Navier–Stokes–Fourier equations for compressible fluids and also for incompressible fluids. In the low Reynolds or Mach number regime, if the Knudsen number is sufficiently low, the marginal stability curves calculated by the generalized hydrodynamic theory coincide, within numerical errors, with those based on the Navier–Stokes theory. But there are considerable deviations between them in the regimes beyond those mentioned earlier, since nonlinear effects manifest themselves in the laminar mean flow through the nonlinear dissipation term and normal stresses. There are three marginal stability curves obtained in contrast to the Navier–Stokes theory, which yields only two. The previously observed phase-transition-like behavior in fluid variables and the slip phenomenon are found to occur beyond the hydrodynamic stability point. The disturbance entropy production associated with the Taylor–Couette vortices is calculated to first order in disturbances in flow variables and is found to decrease as the number of vortices increases and thereby the dynamic structure is progressively more organized.
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Dissertations / Theses on the topic "Hydrodynamic stability theory"

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Yañez, Vico Carlos. "Hydrodynamic stability theory of double ablation front structures in inertial confinement fusion." Thesis, Bordeaux 1, 2012. http://www.theses.fr/2012BOR14612/document.

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Le contrôle de l’instabilité de Rayleigh-Taylor (RT) est crucial pour la fusion par confinement inertiel (FCI) puisque son développement peut compromettre l’implosion et la correcte compression de la cible. En attaque directe, l’énergie fournie par l’irradiation de nombreux faisceaux laser provoque l’ablation de la couche externe de la cible (ablateur) et l’apparition résultante d’un plasma de basse densité en expansion. De ce fait, une très haute pression apparait autour de cette surface, ce qui conduit à l’accélération de la cible vers l’intérieur. On se trouve alors en présence d’un fluide de basse densité qui pousse et accélère le fluide plus dense. C’est une des situations typiques qui favorisent le développement de l’instabilité de RT. Cette thèse développe pour la première fois, dans le contexte de la FCI, une théorie linéaire de stabilité pour des structures à double front d’ablation, qui apparaissent quand des matériaux de nombre atomique modéré sont utilisés comme ablateurs
The Rayleigh-Taylor instability is a major issue in inertial confinement fusion capable to prevent appropriate target implosions. In the direct-drive approach, the energy deposited by directed laser irradiation ablates off the external shell of the capsule (ablator) into a low-density expanding plasma. This induces a high pressure around the ablating target surface (ablation region) that accelerates the capsule radially inwards. This situation, a low density fluid pushing and accelerating a higher density one, is the standard situation for the development of the Rayleigh-Taylor instability, and therefore a potential source of target compression degradation. For moderate-Z materials, the hydrodynamic structure of the ablation region is made up of two ablation fronts (double ablation front) due to the increasing importance of radiation effects. This thesis develops for the first time a linear stability theory of double ablation fronts for direct-drive inertial confinement fusion targets
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King, Peter Samuel. "A parametric study of the hydrodynamic stability theory of 3-D compressible free shear flows." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/39703.

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In this study, a new and efficient numerical algorithm is developed to solve both the two-dimensional and three-dimensional compressible hydrodynamic stability problem. A parametric study of free shear flows with two or more supersonic streams is performed. Flows examined included shear layers, jets/wakes, and various geometrical combinations of these flows. The effect of Mach number on the stability characteristics of the flow is studied and found to confirm the work of other researchers who found that increasing the relative (or convective) Mach number increases the stability of the flow. For 2-D mean flows, the most amplified disturbance is shown to be axial for M<1.2 and fully three-dimensional for M> 1.2. Disturbances for three-dimensional mean flows are found here to be axial in the presence of side walls. The variation of the eigenfunctions and flow field disturbances as a function of Mach number and the flow geometry was also studied. Comparisons of the stability code results are also made to several turbulent mixing experiments. The stability code correctly predicts which parameters will accelerate mixing. New correlations of the effects of some important parameters on stability are developed.
Ph. D.
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Kolli, Kranthi Kumar. "Domain Effects in the Finite / Infinite Time Stability Properties of a Viscous Shear Flow Discontinuity." Connect to this title, 2008. http://scholarworks.umass.edu/theses/204/.

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Castro, Marcelo Souza de. "Fenômeno de transição espacial do escoamento óleo pesado-água no padrão estratificado." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/18/18147/tde-18092013-164235/.

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O escoamento estratificado óleo-água é comum na indústria de petróleo, em particular em poços direcionais e oleodutos. Estudos recentes mostram que o fenômeno de transição de padrões de escoamento de fases separadas pode estar relacionado à estrutura ondulatória da interface do escoamento (problema de estabilidade hidrodinâmica). A transição do padrão estratificado ao padrão estratificado com mistura na interface foi estudada por diversos autores sendo que a física envolvida está clara, e o fenômeno ocorre pelo arrancamento de gotículas da crista da onda interfacial. Técnicas baseadas na análise temporal da estabilidade hidrodinâmica para a proposição de critérios de transição são comumente encontradas na literatura. Entretanto, para certas condições de escoamento, foi observado que o padrão de escoamento estratificado muda ao longo da tubulação. O escoamento adentra a tubulação como estratificado ondulado e alguns diâmetros após a entrada ocorre a transição para o padrão bolhas alongadas. Foi também observado que o ponto no espaço em que o fenômeno ocorre varia com a elevação ou decréscimo das velocidades superficiais das fases. Aparentemente, tal fenômeno ocorre devido a efeitos de tensão interfacial e ângulo de contato. O modelo de dois fluidos unidimensional, a teoria da estabilidade hidrodinâmica linear (análise espacial) e dados experimentais das propriedades da onda interfacial são utilizados para estudo do escoamento, levando a um novo critério de transição em função da velocidade da onda interfacial. O fenômeno de transição espacial do padrão estratificado ocorre fora da região delimitada como estável pela teoria linear; assim, efeitos não lineares são predominantes e uma teoria que leve em consideração tais efeitos se faz necessária. O método das características foi utilizado e buscou-se prever o ponto no espaço em que a transição ocorre. O estudo experimental foi realizado em montagem experimental do Laboratório de Engenharia Térmica e Fluidos; dados experimentais permitiram a obtenção de uma nova carta de fluxo óleo-água e propriedades da onda interfacial. As comparações entre dados e previsões dos modelos são encorajadoras.
The stratified oil-water flow pattern is of common occurrence in the petroleum industry, especially in offshore directional wells and pipelines. Previous studies have shown that the phenomenon of flow pattern transition in stratified flow can be related to the interfacial wave structure (problem of hydrodynamic instability). The transition from stratified flow to stratified with mixture at the interface has been studied by several authors and the physics behind the phenomenon has been already explained, basically by the tearing of droplets from the interfacial wave crest. Techniques based on a temporal analysis of the hydrodynamic stability for the proposition of transition criteria are often found in the literature. However, at certain inlet flow conditions, it was observed that the flow pattern changes along the test line. The flow enters the test line as wavy stratified flow and then, several diameters from the pipe inlet, the transition to elongated-bubbles flow occurs. It was also observed that the location where the transition occurs also changes depending on the phases superficial velocities. It seems that this phenomenon occurs due to interfacial tension and contact angle effects. The one-dimensional two-fluid model, linear stability theory (spatial approach) and experimental data of the interfacial wave properties are used to study the flow and a new transition criterion based on the wave celerity is proposed. The stratified-flow spatial transition occurred outside the region delimitated as stable by the linear theory; so nonlinear effects are prominent. The method of characteristics was used as an attempt to predict the point in space at which the transition occurs. The experimental work was done at the experimental facility of the Thermal-fluids Engineering Laboratory; experimental data allowed a new oil-water flow map and interfacial wave properties were acquired. The agreement between data and prediction is encouraging.
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Coelho, David Montenegro 1990. "Tópicos em dinâmica de fluidos como uma teoria de campo." [s.n.], 2016. http://repositorio.unicamp.br/jspui/handle/REPOSIP/320983.

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Orientador: Donato Giorgio Torrieri
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin
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Resumo: O interesse científico cresceu após confirmado por testes experimentais o comportamento do Plasma de Quark-Glúon como um fluido quase perfeito no LHC e RHIC. O objetivo desse trabalho é fornecer as bases teóricas da Effective Field Theory (EFT) na abordagem da Hidrodinâmica, pois vários recursos não-triviais na dinâmica relativística dos fluidos são claramente explicados por esse formalismo. Problemas teóricos na EFT sugerem a inclusão de uma nova formulação do Princípio de Hamilton compatível com o princípio da causalidade, através do Closed-Time-Path. Após resolvido esse problema, alcançamos o requisito necessário para derivar a hidrodinâmica dissipativa em altas ordens por meio da ação. Assim, conseguimos caracterizar a Lagrangeana de Navier-Stokes ao introduzir a quebra de simetria na preservação do difeomorfismo pelo volume por meio do termo $B^{-1}_{IJ}$. No entanto, uma análise pelo método de Ostrogradski levou à supressão dessa equação, através da inclusão da Lagrangeana de Israel-Stewart na expansão que é justificada por meios de argumentos de estabilidade e causalidade. Por fim, propomos uma variável $X_{IJ}$ na Lagrangeana de Israel-Stewart, simétrica, anisotrópica e dependente das condições iniciais que juntamente com os já estabelecidos graus de liberdade de campo, formam a base para a derivação bottom-up em altas ordens da EFT e propicia medidas para estudar turbulência e instabilidade no vácuo e outras situações que chegam da relação entre graus de liberdade macroscópico e microscópico
Abstract: Scientific interest grew after the behavior of the quark-gluon Plasma as a nearly perfect fluid in the LHC and RHIC. The objective of this dissertation is offer support to use the Effective Field Theory (EFT) approach to study hydrodynamics because many non-trivial features in relativistic fluid dynamics are clearly explained by this Lagrangian formalism. Theoretical problems in EFT considering by including a new formulation of the Hamiltonian principle that is compatible with the principle of causality for non-conservative field through the Closed-Time-Path formalism. After solving this problem, we reached requirement to derive the dissipative hydrodynamics in higher orders of action. We were able to characterize Navier-Stokes' Lagrangian by introducing the symmetry breaking of preserving diffeomorphism through the volume with the term $B^{-1}_{IJ} $ to the Lagrangian of Navier-Stokes. An analyse of Ostrogradski's method led to the removal of equation by including the Israel-Stewart term in the Lagrangian expansion that provides an extra justification by means of symmetry and causality arguments. Finally, we propose a variable $ X_ {IJ} $, Israel-Stewart's Lagrangian, symmetric, anisotropic and dependent on initial conditions together with an established degree of freedom of the field, which form the basis for the derivation of higher orders of the bottom up and promote steps to the study of turbulence by instability in the vacuum, and other situations arising from the relationship between macroscopic and microscopic degrees of freedom
Mestrado
Física
Mestre em Física
147435/2014-5
CNPQ
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Lallouet, Yoann. "Différents aspects de la physique nucléaire depuis les basses énergies jusqu'aux énergies intermédiaires." Phd thesis, Université Claude Bernard - Lyon I, 2011. http://tel.archives-ouvertes.fr/tel-00660287.

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Cette thèse porte sur l'étude de différents aspects de la physique nucléaire depuis les basses énergies jusqu'aux énergies intermédiaires. Pour les basses énergies, où la matière nucléaire est essentiellement constituée de nucléons en interaction, la partie I traite de la fusion-fission des noyaux super-lourds, et la partie II des règles de somme associées aux interactions de type Skyrme. Pour les énergies intermédiaires, la matière nucléaire étant alors considérée comme une phase hadronique principalement constituée de pions, la partie III se focalise sur l'hydrodynamique relativiste de la matière nucléaire avec brisure spontanée de symétrie chirale. Dans la partie I, on s'intéresse à la formation puis à la désexcitation des noyaux super-lourds. On étudie donc la formation du noyau composé avec effets de mémoire. Pour la désexcitation d'un noyau super-lourd, l'existence d'un puits isomérique dans la barrière de potentiel change la dynamique de désexcitation et augmente les temps de fission. Cette dernière étude pourrait être utile à l'étude de la dynamique de la fission des actinides. Dans la partie II, les règles de somme M1 et M3 associées aux potentiels phénoménologiques de type Skyrme sont calculées à partir de leurs définitions intrinsèques. On détermine alors M1 jusqu'au niveau tensoriel et M3 avec potentiel central. Dans la partie III, pour le traitement hydrodynamique de la matière hadronique appliqué aux collisions d'ions lourds on peut, en première approximation, écarter les modifications induites par la brisure spontanée de symétrie chirale mais pas celles dues à l'aspect dissipatif.
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Vijaya, Kumar T. "Stability of a weak confined wake behind a cylinder in fully developed turbulemt channel flow." Thesis, 2016. http://localhost:8080/xmlui/handle/12345678/7206.

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Mandre, Shreyas. "Two studies in hydrodynamic stability : interfacial instabilities and applications of bounding theory." Thesis, 2006. http://hdl.handle.net/2429/18495.

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Interfacial phenomena, viz. roll waves and elastic tremor, are considered in the first part, whereas in the second bounding theory is applied to double-diffusive convection and shear flows. Roll waves are investigated using shallow-water equations with bottom drag and diffusivity. We explore the effect of bottom topography on linear stability of turbulent flow, followed by an investigation of the nonlinear dynamics. Low-amplitude topography and hydraulic jumps are found to destabilize turbulent roll waves, while higher amplitude topography stabilizes them. The nonlinear dynamics of these waves is explored with numerical and asymptotic solutions of the shallow-water equations. We find that trains of roll waves undergo coarsening dynamics, however coarsening does not continue indefinitely but becomes interrupted at intermediate scales, creating patterns with preferred wavelengths. We quantify the coarsening dynamics in terms of linear stability of steady roll-wave trains. For elastic tremor, e.g. observed in musical reed instruments and vocal cords, a first principles explanation is given for the onset of these oscillations using linear stability theory. An analytical solution is built on the assumptions of thin-film flow and stiff elastic material and the criterion for the destabilization of natural elastic oscillations is derived. Acoustic excitation (e.g. organ pipes) is treated as an analogue, with compressibility playing the role of elasticity, with similar mechanism possibly at work. In double diffusive convection, the flux of the unstably stratified species is bounded using the background method in the presence of opposite stratification of the other species. In order to incorporate a dependence of the bound on the stably stratified component, Joseph's (Stability of fluid motion, 1976, Springer-Verlag) energy stability 112 analysis is extended. At large Rayleigh number, the bound is found to behave like R[sub T][sup ½] for fixed ratio R[sub S]/R[sub T], where R[sub T] and R[sub S] are the Rayleigh numbers of the unstably and stably stratified components, respectively. The energy stability of plane Couette flow is improved for two dimensional perturbations. The energy is chosen from a family of norms so as to maximize the critical Reynolds number. An explicit relation for the critical Reynolds number is found in terms of the perturbation direction.
Science, Faculty of
Mathematics, Department of
Graduate
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Joshi, Narasimha Ganapati. "Experimental investigations on the relevance of hydrodynamic stability theory to wall-turbulence." Thesis, 2011. http://localhost:8080/xmlui/handle/12345678/6782.

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Books on the topic "Hydrodynamic stability theory"

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Georgescu, Adelina. Hydrodynamic stability theory. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1.

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Hydrodynamic stability theory. Dordrecht: M. Nijhoff, 1985.

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1957-, Jackson Thomas L., and Joslin R. D. 1963-, eds. Theory and computation in hydrodynamic stability. Cambridge: Cambridge University Press, 2003.

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Baggett, Jeffrey S. Non-normal dynamics and hydrodynamic stability. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1996.

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Ridha, Abid, Blaisdell Gregory A, and Institute for Computer Applications in Science and Engineering., eds. On the consistency of Reynolds stress turbulence closures with hydrodynamic stability theory. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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The linearization method in hydrodynamical stability theory. Providence, R.I: American Mathematical Society, 1989.

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Introduction to Hamiltonian fluid dynamics and stability theory. Boca Raton: Chapman & Hall/CRC, 2000.

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Lallemand, Pierre. Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Georgescu, A. Hydrodynamic Stability Theory. Springer Verlag, 2010.

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Georgescu, A. Hydrodynamic stability theory. Springer, 2014.

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Book chapters on the topic "Hydrodynamic stability theory"

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Georgescu, Adelina. "Classical Hydrodynamic Stability." In Hydrodynamic stability theory, 17–76. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1_2.

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Georgescu, Adelina. "Introduction." In Hydrodynamic stability theory, 11–15. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1_1.

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Georgescu, Adelina. "Generalized Solutions in Hydrodynamic Stability." In Hydrodynamic stability theory, 77–151. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1_3.

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Georgescu, Adelina. "Branching and Stability of Solutions of the Navier-Stokes Equations." In Hydrodynamic stability theory, 152–211. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1_4.

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Georgescu, Adelina. "Nature of Turbulence." In Hydrodynamic stability theory, 212–30. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1_5.

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Georgescu, Adelina. "The Influence of the Presence of a Porous Medium on Hydrodynamic Stability." In Hydrodynamic stability theory, 231–47. Dordrecht: Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-1814-1_6.

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Roberts, P. H. "Concepts in Hydrodynamic Stability Theory." In Advances in Chemical Physics, 17–35. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2007. http://dx.doi.org/10.1002/9780470143841.ch3.

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Maschke, E. K. "Methods in Magneto-Hydrodynamic Stability Theory." In Waves and Instabilities in Plasmas, 91–116. Vienna: Springer Vienna, 1994. http://dx.doi.org/10.1007/978-3-7091-2700-1_3.

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Herron, Isom. "Hydrodynamic stability, differential operators and spectral theory." In DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 57–67. Providence, Rhode Island: American Mathematical Society, 1997. http://dx.doi.org/10.1090/dimacs/034/06.

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Zudin, Yuri B. "Wall’s Thermal Effect on Hydrodynamic Flow Stability." In Theory of Periodic Conjugate Heat Transfer, 141–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21421-9_8.

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Conference papers on the topic "Hydrodynamic stability theory"

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Gajjar, Jitesh S. B. "Preface of the "Symposium on recent advances in theoretical fluid dynamics, hydrodynamic stability theory, and biological fluid mechanics"." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825470.

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Wang, Tianying, Yanjun Zhou, Honglin Tang, Shihua Zhang, and Haiqing Tian. "Effect of Geometric Parameters of New Semisubmersible Platform on Stability and Hydrodynamic Performance." In ASME 2021 40th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/omae2021-63218.

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Abstract The JCSM concept (short for Jackup Combined Semisubmersible Multifunction Platform) is a new type of semisubmersible platform presented by the first author, which overcomes the shortcomings of the available semisubmersible platforms, and combines the advantages of the traditional semisubmersible platform, the Jackup platform and the new FPSO concept - IQFP. Due to the complicated interaction between stability and hydrodynamic performance, it is necessary to explore the effect of geometrical parameters of the main body on the stability and hydrodynamic performance in order to obtain the optimal design plan of a JCSM platform. Firstly, the structure components and innovations of the JCSM were briefly reviewed in order to facilitate readers to understand its full picture. Then, six independent geometric parameters were selected by carefully studying the shape characteristics of the initial design plan of a JCSM study case. Furthermore, the stability heights and motion responses of various floating bodies of the JCSM case with different geometric parameters in wave were calculated using boundary element method based on potential flow theory. Lastly, effect of the shape parameters on stability and hydrodynamic performance of the JCSM was qualitatively evaluated. The research would shed lights on the shape design of the JCSM main body.
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Ommani, Babak, and Odd M. Faltinsen. "Linear Dynamic Stability Analysis of a Surface Piercing Plate Advancing at High Forward Speed." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11136.

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The dynamic stability of a surface-piercing plate advancing with high forward speed in horizontal plane is investigated in the scope of linear theory. The hydrodynamic forces on the plate in sway and yaw are presented in terms of frequency and forward speed dependent added mass and damping coefficients. Flow separation from the trailing edge of the plate is considered. A time domain boundary integral method using linear distribution of Rankine sources and dipoles on the plate, free surface and a vortex sheet is used to calculate these hydrodynamic coefficients numerically. Comparison between the current numerical results and previous numerical and experimental results are presented. Using linear dynamic stability analysis the influence of hydrodynamic coefficients on the plate’s stability is investigated as a simplified alternative to a semi-displacement vessel.
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Galeazzi, Roberto, Jelena Vidic-Perunovic, Mogens Blanke, and Jo̸rgen Juncher Jensen. "Stability Analysis of the Parametric Roll Resonance Under Non-Constant Ship Speed." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59453.

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The aim of this work is to analyze the influence of a nonconstant ship speed on the onset and development of the parametric roll resonance. A 2-DOF nonlinear surge-roll model is set up and analyzed. Perturbation methods are also applied to evaluate the influence of dynamic variations of surge velocity on the onset of parametric roll. The theoretical results are illustrated and validated using a 4-DOF hydrodynamic and control theory model.
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Angelou, Manolis, and Kostas J. Spyrou. "Towards a New Mathematical Model for Investigating Course Stability and Maneuvering Motions of Sailing Yachts." In SNAME 22nd Chesapeake Sailing Yacht Symposium. SNAME, 2016. http://dx.doi.org/10.5957/csys-2016-010.

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In order to create capability for analyzing course instabilities of sailing yachts in waves, the authors are at an advanced stage of development of a mathematical model comprised of two major components: an aerodynamic, focused on the calculation of the forces on the sails, taking into account the variation of their shape under wind flow; and a hydrodynamic one, handling the motion of the hull with its appendages in water. Regarding the first part, sails provide the aerodynamic force necessary for propulsion. But being very thin, they have their shape adapted according to the locally developing pressures. Thus, the flying shape of a sail in real sailing conditions differs from its design shape and it is basically unknown. The authors have tackled the fluid-structure interaction problem of the sails using a 3d approach where the aerodynamic component of the model involves the application of the steady form of the Lifting Surface Theory, in order to obtain the force and moment coefficients, while the deformed shape of each sail is obtained using a relatively simple Shell Finite Element formulation. The hydrodynamic part consists of modeling hull reaction, hydrostatic and wave forces. A Potential Flow Boundary Element Method is used to calculate the Side Forces and Added Mass of the hull and its appendages. The Side Forces are then incorporated into an approximation method to calculate Hull Reaction terms. The calculation of resistance is performed using a formulation available in the literature. The wave excitation is limited to the calculation of Froude - Krylov forces.
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Shiau, Ting Nung, Jon Li Hwang, and Yuan Bin Chang. "A Study on Stability and Response Analysis of a Nonlinear Rotor System With Mass Unbalance and Side Load." In ASME 1992 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/92-gt-007.

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The stability of steady state synchronous and nonsynchronous response of a nonlinear rotor system supported by squeeze-film dampers is investigated. The nonlinear differential equations which govern the motion of rotor bearing system are obtained by using the Generalized Polynomial Expansion Method. The steady state response of system is obtained by using the hybrid numerical method which combines the merits of the harmonic balance and collocation methods. The stability of system response is examined using Floquet-Liapunov theory. Using the theory, the performance may be evaluated with the calculation of derivatives of nonlinear hydrodynamic forces of the squeeze-film damper with respect to displacement and velocity of the journal center. In some cases, these derivatives can be expressed in closed form and the prediction of the dynamic characteristic of the nonlinear rotor system will be more effective. The stability results are compared to those using a direct numerical integration method and both are in good agreement.
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Li, Yan, Zheng Liu, Yougang Tang, Xiyang Zhu, and Ruoyu Zhang. "Dynamic Response of a Conceptual Designed Articulated Offshore Wind Turbine." In ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/omae2019-95635.

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Abstract Focus on the 75-meter-depth offshore area, an articulated buoy is proposed for supporting NREL 5 MW offshore wind turbine. Based on the optimization, the main parameters are set for better hydro performance and less environmental loads. According to the quasi-static approach, the intact stability was examined. Then, an in-house code was programmed to simulate the dynamic response of the articulated offshore wind turbine. The aerodynamic load on rotating blades and the wind pressure load on tower are calculated based on the blade element momentum theory and the empirical formula, respectively. The hydrodynamic performance is simulated by the 3-D potential flow theory. The motions of platform, the loads on the articulated hinge and the power generation performance are documented in different cases. According to the simulations, the articulated offshore wind turbine shows good hydrodynamic performance under operation conditions.
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Zou, Z., Y. Zhang, X. Zhang, and W. Tobler. "Simulation of Traction Drive Ratio Changes." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/ptg-14406.

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Abstract In the simulation model presented in this paper, the kinematic characteristics of traction drives are formulated using classical Hertzian contact theory and elasto-hydrodynamic theory. The roller swing motion is governed by an equation derived based on Newton’s Second Law and is coupled to the side slip, torque input and output, as well as ratio variations. A control strategy with feedbacks for both the roller swing and the piston displacement is applied for ratio control based on stability and responsiveness considerations. The model has been implemented systematically in Matlab/Simulink environment. The effectiveness of the ratio control system in terms of stability and accuracy is illustrated by the simulation results included in this paper.
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Lin, Zaibin, Ling Qian, Michele Sergio Campobasso, Wei Bai, Yang Zhou, and Zhihua Ma. "Modelling Aerodynamics of a Floating Offshore Wind Turbine Using the Overset Mesh Solver In OpenFOAM." In ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/omae2022-79230.

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Abstract An accurate prediction of aerodynamic and hydrodynamic loads on an offshore floating wind turbine plays a critical role in determining its operational stability, fatigue life and survivability, as well as optimising its power control system. Therefore, it is essential to develop an integrated aerodynamics and hydrodynamics model, which is capable of capturing both loading on and dynamic response of an entire offshore wind turbine system with high accuracy and reliability. Prior to developing such an integrated model, aerodynamics and hydrodynamics models need to be systematically examined, individually. In this study, the performance of the overset mesh solver in OpenFOAM for modelling aerodynamics of a floating offshore wind turbine rotor is evaluated. A benchmark test on the rotor of the National Renewable Energy Laboratory (NREL) 5MW turbine, which is designed to be mounted on a semi-submersible platform is performed. The predicted power and thrust for cases of the rotor with its centre fixed and undergoing pitching motion are compared between the overset mesh solver, a frequency-domain Naiver-Stokes Computational Fluid Dynamics code and the open-source Blade Element Momentum theory code.
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Hartmann, Hauke, Daniel Walia, Frank Adam, Uwe Ritschel, and Jochen Großmann. "One Step Installation of a TLP Substructure: Requirements, Assumptions, Issues." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61424.

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A crucial problem regarding the offshore electricity generation is the levelized costs of energy (LCOE). This is an even larger problem for floating substructures for offshore wind turbines. This paper highlights a substructure for floating offshore wind turbines (FOWT) for a one step installation process. It deals with the parametric study of the TLP’s structure to gain hydrostatic and hydrodynamic stability during the transport and installation process of the TLP equipped with a 6 MW wind turbine. At first a hydrostatic analysis with the software tool MOSES (V.7.06.062) has been performed. Hydrodynamic simulations with ANSYS AQWA (V.17.2), based on 2D potential flow theory, have been conducted afterwards to get information about the motion behavior of the TLP in wind, current and waves.
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Reports on the topic "Hydrodynamic stability theory"

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Abdolmaleki, Kourosh. PR-453-134504-R05 On Bottom Stability Upgrade - MS III. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), November 2021. http://dx.doi.org/10.55274/r0012195.

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The extension of the PRCI on bottom stability (OBS) software's applicability to shallow water is assessed. Version 3 of the software has a limitation on water depth; only depths greater than 6 m (20 ft) are accepted. This limitation is likely related to the increasing inaccuracy of linear wave theory as the wave height to water depth ratio increases, as well as caution about breaking wave limits. The usage of linear wave theory inside the software can be categorized into two different types: � Linear regular waves - these are used in the Level 1 module to determine the motions of the water particles as part of the calculation of the hydrodynamic forces; � Linear irregular waves - these are present in the Level 2, Level 3 and ASM modules, where the surface wave energy spectra are converted to the near-seabed wave velocities through the use of a transfer function based on linear wave theory. It is noted that for irregular waves, all wave spectral formulations currently implemented in the OBS software, do not account for water depth. This document addresses the finite water depth and shallow water restrictions and presents a discussion and investigation in two categories: 1. The direct use of the linear theory to describe waves in the Level 1 calculation module; and 2. The direct use of linear spectral transfer functions in the Level 2, Level 3, and ASM modules. The scope of this activity is to prepare a solution for consideration by PRCI and implement the agreed course of action. The solution proposed will be based on the continued use of the linear wave theory. It is noted that higher order wave theories would be more appropriate for shallow water conditions, but due to the currently established methodology in the software, implementation of higher order wave theory is not included within this scope.
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Inc., Kellogg Brown and Root. L51989 Submarine Pipeline On-Bottom Stability-Volume 1-Analysis and Design Guidelines. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), December 2002. http://dx.doi.org/10.55274/r0011168.

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The state-of-the-art in Pipeline stability design has been changing very rapidly recently. The physics governing on-bottom stability are much better understood now than they were eight years ago. This is due largely because of research and large scale model tests sponsored by PRCI. Analysis tools utilizing this new knowledge have been developed. These tools provide the design engineer with a rational approach for weight coating design, which he can use with confidence because the tools have been developed based on full scale and near full scale model tests. These tools represent the state-of-the-art in stability design and model the complex behavior of pipes subjected to both wave and current loads. These include; hydrodynamic forces which account for the effect of the wake (generated by flow over the pipe) washing back and forth over the pipe in oscillatory flow; and, the embedment (digging) which occurs as a pipe resting on the seabed is exposed to oscillatory loadings and small oscillatory deflections. This report has been developed as a reference handbook for use in on-bottom pipeline stability analysis and design. It consists of two volumes. Volume one is devoted to descriptions of the various aspects of the problem: the pipeline design process ocean physics, wave mechanics, hydrodynamic forces, and meteorological data determination geotechnical data collection and soil mechanics stability design procedures. Volume two describes, lists, and illustrates the analysis software. Diskettes containing the software and examples of the software are also included in Volume two. This publication was formally titled: AGA On Bottom Stability Software.
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Abdolmaleki, Kourosh, and Andrew Rawlinson. PR-453-134504-R01 Pipeline On-Bottom Stability Software Upgrade Milestone I. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), July 2016. http://dx.doi.org/10.55274/r0010867.

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The PRCI software (version 3.0) which assesses hydrodynamic stability of submarine pipelines was revised. There are three 'levels' of analysis available in this software. The main technical revisions are for: - Level 1 : -The addition of the logarithmic boundary layer formulation. - Level 2: -The addition of the logarithmic boundary layer formulation -The addition of the JONSWAP spectrum -The addition of the Verley and Lund pipe-soil clay model -The resolution of the issue of excessive embedment in current dominated conditions. - Level 3 are: -The addition of the logarithmic boundary layer formulation -The addition of the JONSWAP spectrum. In terms of software, the Fortran code, which undertakes the calculation, was converted to a more recent version and a number of improvements made. The user interface was re-written in languages and an environment which are currently supported. Code was written for the future implementation of the absolute stability method of DNV-RP-F109. An investigation of lift forces which act on a submarine pipeline when subject to current at low angles of attack was undertaken. This showed that, though usual practice underestimates the lift force, the magnitude of the difference is not significant in terms of pipeline stability. This work has a related webinar.
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Riveros, Guillermo, Felipe Acosta, Reena Patel, and Wayne Hodo. Computational mechanics of the paddlefish rostrum. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41860.

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Purpose – The rostrum of a paddlefish provides hydrodynamic stability during feeding process in addition to detect the food using receptors that are randomly distributed in the rostrum. The exterior tissue of the rostrum covers the cartilage that surrounds the bones forming interlocking star shaped bones. Design/methodology/approach – The aim of this work is to assess the mechanical behavior of four finite element models varying the type of formulation as follows: linear-reduced integration, linear-full integration, quadratic-reduced integration and quadratic-full integration. Also presented is the load transfer mechanisms of the bone structure of the rostrum. Findings – Conclusions are based on comparison among the four models. There is no significant difference between integration orders for similar type of elements. Quadratic-reduced integration formulation resulted in lower structural stiffness compared with linear formulation as seen by higher displacements and stresses than using linearly formulated elements. It is concluded that second-order elements with reduced integration and can model accurately stress concentrations and distributions without over stiffening their general response. Originality/value – The use of advanced computational mechanics techniques to analyze the complex geometry and components of the paddlefish rostrum provides a viable avenue to gain fundamental understanding of the proper finite element formulation needed to successfully obtain the system behavior and hot spot locations.
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