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Patrice Le Gal - One of the best experts on this subject based on the ideXlab platform.
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the Universal Aspect ratio of vortices in rotating stratified flows experiments and observations
Journal of Fluid Mechanics, 2012Co-Authors: O Aubert, Patrice Le Gal, Michael Le Bars, Philip MarcusAbstract:We validate a new law for the Aspect ratio of vortices in a rotating, stratified flow, where and are the vertical half-height and horizontal length scale of the vortices. The Aspect ratio depends not only on the Coriolis parameter and buoyancy (or Brunt–Vaisala) frequency of the background flow, but also on the buoyancy frequency within the vortex and on the Rossby number of the vortex, such that . This law for is obeyed precisely by the exact equilibrium solution of the inviscid Boussinesq equations that we show to be a useful model of our laboratory vortices. The law is valid for both cyclones and anticyclones. Our anticyclones are generated by injecting fluid into a rotating tank filled with linearly stratified salt water. In one set of experiments, the vortices viscously decay while obeying our law for , which decreases over time. In a second set of experiments, the vortices are sustained by a slow continuous injection. They evolve more slowly and have larger while still obeying our law for . The law for is not only validated by our experiments, but is also shown to be consistent with observations of the Aspect ratios of Atlantic meddies and Jupiter’s Great Red Spot and Oval BA. The relationship for is derived and examined numerically in a companion paper by Hassanzadeh, Marcus & Le Gal (J. Fluid Mech., vol. 706, 2012, pp. 46–57).
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the Universal Aspect ratio of vortices in rotating stratified flows theory and simulation
Journal of Fluid Mechanics, 2012Co-Authors: Pedram Hassanzadeh, Philip Marcus, Patrice Le GalAbstract:We derive a relationship for the vortex Aspect ratio (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt–Vaisala frequencies within the vortex and in the background fluid outside the vortex , the Coriolis parameter and the Rossby number of the vortex: . This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the background density gradient need not be uniform. Our relation for has many consequences for equilibrium vortices in rotating stratified flows. For example, cyclones must have ; weak anticyclones (with ) must have ; and strong anticyclones must have . We verify our relation for with numerical simulations of the three-dimensional Boussinesq equations for a wide variety of vortices, including: vortices that are initially in (dissipationless) equilibrium and then evolve due to an imposed weak viscous dissipation or density radiation; anticyclones created by the geostrophic adjustment of a patch of locally mixed density; cyclones created by fluid suction from a small localized region; vortices created from the remnants of the violent breakups of columnar vortices; and weakly non-axisymmetric vortices. The values of the Aspect ratios of our numerically computed vortices validate our relationship for , and generally they differ significantly from the values obtained from the much-cited conjecture that in quasi-geostrophic vortices.
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the Universal Aspect ratio of vortices in rotating stratified flows theory and simulation
arXiv: Fluid Dynamics, 2012Co-Authors: Pedram Hassanzadeh, Philip Marcus, Patrice Le GalAbstract:We derive a relationship for the vortex Aspect ratio $\alpha$ (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt-Vaisala frequencies within the vortex $N_c$ and in the background fluid outside the vortex $\bar{N}$, the Coriolis parameter $f$, and the Rossby number $Ro$ of the vortex: $\alpha^2 = Ro(1+Ro) f^2/(N_c^2-\bar{N}^2)$. This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the background density gradient need not be uniform. Our relation for $\alpha$ has many consequences for equilibrium vortices in rotating stratified flows. For example, cyclones must have $N_c^2 > \bar{N}^2$; weak anticyclones (with $|Ro| \bar{N}^2$. We verify our relation for $\alpha$ with numerical simulations of the three-dimensional Boussinesq equations for a wide variety of vortices, including: vortices that are initially in (dissipationless) equilibrium and then evolve due to an imposed weak viscous dissipation or density radiation; anticyclones created by the geostrophic adjustment of a patch of locally mixed density; cyclones created by fluid suction from a small localised region; vortices created from the remnants of the violent breakups of columnar vortices; and weakly non-axisymmetric vortices. The values of the Aspect ratios of our numerically-computed vortices validate our relationship for $\alpha$, and generally they differ significantly from the values obtained from the much-cited conjecture that $\alpha = f/\bar{N}$ in quasi-geostrophic vortices.
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the Universal Aspect ratio of vortices in rotating stratifi ed flows experiments and observations
arXiv: Fluid Dynamics, 2012Co-Authors: O Aubert, Patrice Le Gal, Michael Le Bars, Philip MarcusAbstract:We validate a new law for the Aspect ratio $\alpha = H/L$ of vortices in a rotating, stratified flow, where $H$ and $L$ are the vertical half-height and horizontal length scale of the vortices. The Aspect ratio depends not only on the Coriolis parameter f and buoyancy (or Brunt-Vaisala) frequency $\bar{N}$ of the background flow, but also on the buoyancy frequency $N_c$ within the vortex and on the Rossby number $Ro$ of the vortex such that $\alpha = f \sqrt{[Ro (1 + Ro)/(N_c^2- \bar{N}^2)]}$. This law for $\alpha$ is obeyed precisely by the exact equilibrium solution of the inviscid Boussinesq equations that we show to be a useful model of our laboratory vortices. The law is valid for both cyclones and anticyclones. Our anticyclones are generated by injecting fluid into a rotating tank filled with linearly-stratified salt water. The vortices are far from the top and bottom boundaries of the tank, so there is no Ekman circulation. In one set of experiments, the vortices viscously decay, but as they do, they continue to obey our law for $\alpha$, which decreases over time. In a second set of experiments, the vortices are sustained by a slow continuous injection after they form, so they evolve more slowly and have larger |Ro|, but they also obey our law for $\alpha$. The law for $\alpha$ is not only validated by our experiments, but is also shown to be consistent with observations of the Aspect ratios of Atlantic meddies and Jupiter's Great Red Spot and Oval BA. The relationship for $\alpha$ is derived and examined numerically in a companion paper by Hassanzadeh et al. (2012).
Philip Marcus - One of the best experts on this subject based on the ideXlab platform.
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the Universal Aspect ratio of vortices in rotating stratified flows experiments and observations
Journal of Fluid Mechanics, 2012Co-Authors: O Aubert, Patrice Le Gal, Michael Le Bars, Philip MarcusAbstract:We validate a new law for the Aspect ratio of vortices in a rotating, stratified flow, where and are the vertical half-height and horizontal length scale of the vortices. The Aspect ratio depends not only on the Coriolis parameter and buoyancy (or Brunt–Vaisala) frequency of the background flow, but also on the buoyancy frequency within the vortex and on the Rossby number of the vortex, such that . This law for is obeyed precisely by the exact equilibrium solution of the inviscid Boussinesq equations that we show to be a useful model of our laboratory vortices. The law is valid for both cyclones and anticyclones. Our anticyclones are generated by injecting fluid into a rotating tank filled with linearly stratified salt water. In one set of experiments, the vortices viscously decay while obeying our law for , which decreases over time. In a second set of experiments, the vortices are sustained by a slow continuous injection. They evolve more slowly and have larger while still obeying our law for . The law for is not only validated by our experiments, but is also shown to be consistent with observations of the Aspect ratios of Atlantic meddies and Jupiter’s Great Red Spot and Oval BA. The relationship for is derived and examined numerically in a companion paper by Hassanzadeh, Marcus & Le Gal (J. Fluid Mech., vol. 706, 2012, pp. 46–57).
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the Universal Aspect ratio of vortices in rotating stratified flows theory and simulation
Journal of Fluid Mechanics, 2012Co-Authors: Pedram Hassanzadeh, Philip Marcus, Patrice Le GalAbstract:We derive a relationship for the vortex Aspect ratio (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt–Vaisala frequencies within the vortex and in the background fluid outside the vortex , the Coriolis parameter and the Rossby number of the vortex: . This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the background density gradient need not be uniform. Our relation for has many consequences for equilibrium vortices in rotating stratified flows. For example, cyclones must have ; weak anticyclones (with ) must have ; and strong anticyclones must have . We verify our relation for with numerical simulations of the three-dimensional Boussinesq equations for a wide variety of vortices, including: vortices that are initially in (dissipationless) equilibrium and then evolve due to an imposed weak viscous dissipation or density radiation; anticyclones created by the geostrophic adjustment of a patch of locally mixed density; cyclones created by fluid suction from a small localized region; vortices created from the remnants of the violent breakups of columnar vortices; and weakly non-axisymmetric vortices. The values of the Aspect ratios of our numerically computed vortices validate our relationship for , and generally they differ significantly from the values obtained from the much-cited conjecture that in quasi-geostrophic vortices.
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the Universal Aspect ratio of vortices in rotating stratified flows theory and simulation
arXiv: Fluid Dynamics, 2012Co-Authors: Pedram Hassanzadeh, Philip Marcus, Patrice Le GalAbstract:We derive a relationship for the vortex Aspect ratio $\alpha$ (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt-Vaisala frequencies within the vortex $N_c$ and in the background fluid outside the vortex $\bar{N}$, the Coriolis parameter $f$, and the Rossby number $Ro$ of the vortex: $\alpha^2 = Ro(1+Ro) f^2/(N_c^2-\bar{N}^2)$. This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the background density gradient need not be uniform. Our relation for $\alpha$ has many consequences for equilibrium vortices in rotating stratified flows. For example, cyclones must have $N_c^2 > \bar{N}^2$; weak anticyclones (with $|Ro| \bar{N}^2$. We verify our relation for $\alpha$ with numerical simulations of the three-dimensional Boussinesq equations for a wide variety of vortices, including: vortices that are initially in (dissipationless) equilibrium and then evolve due to an imposed weak viscous dissipation or density radiation; anticyclones created by the geostrophic adjustment of a patch of locally mixed density; cyclones created by fluid suction from a small localised region; vortices created from the remnants of the violent breakups of columnar vortices; and weakly non-axisymmetric vortices. The values of the Aspect ratios of our numerically-computed vortices validate our relationship for $\alpha$, and generally they differ significantly from the values obtained from the much-cited conjecture that $\alpha = f/\bar{N}$ in quasi-geostrophic vortices.
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the Universal Aspect ratio of vortices in rotating stratifi ed flows experiments and observations
arXiv: Fluid Dynamics, 2012Co-Authors: O Aubert, Patrice Le Gal, Michael Le Bars, Philip MarcusAbstract:We validate a new law for the Aspect ratio $\alpha = H/L$ of vortices in a rotating, stratified flow, where $H$ and $L$ are the vertical half-height and horizontal length scale of the vortices. The Aspect ratio depends not only on the Coriolis parameter f and buoyancy (or Brunt-Vaisala) frequency $\bar{N}$ of the background flow, but also on the buoyancy frequency $N_c$ within the vortex and on the Rossby number $Ro$ of the vortex such that $\alpha = f \sqrt{[Ro (1 + Ro)/(N_c^2- \bar{N}^2)]}$. This law for $\alpha$ is obeyed precisely by the exact equilibrium solution of the inviscid Boussinesq equations that we show to be a useful model of our laboratory vortices. The law is valid for both cyclones and anticyclones. Our anticyclones are generated by injecting fluid into a rotating tank filled with linearly-stratified salt water. The vortices are far from the top and bottom boundaries of the tank, so there is no Ekman circulation. In one set of experiments, the vortices viscously decay, but as they do, they continue to obey our law for $\alpha$, which decreases over time. In a second set of experiments, the vortices are sustained by a slow continuous injection after they form, so they evolve more slowly and have larger |Ro|, but they also obey our law for $\alpha$. The law for $\alpha$ is not only validated by our experiments, but is also shown to be consistent with observations of the Aspect ratios of Atlantic meddies and Jupiter's Great Red Spot and Oval BA. The relationship for $\alpha$ is derived and examined numerically in a companion paper by Hassanzadeh et al. (2012).
Ramesh Chandra Bagadi - One of the best experts on this subject based on the ideXlab platform.
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Universal Aspect recursion scheme version 1
viXra, 2015Co-Authors: Ramesh Chandra BagadiAbstract:In this research manuscript, the author has presented an Universal Aspect Recursion Scheme which can be considered as the Recursion Scheme that is synonymous with the ‘Theory Of Everything’.
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Universal Aspect recursion scheme version 2
viXra, 2015Co-Authors: Ramesh Chandra BagadiAbstract:In this research manuscript, the author has presented an Universal Aspect Recursion Scheme which can be considered as the Recursion Scheme that is synonymous with the ‘Theory Of Everything’.
Michael Inzlicht - One of the best experts on this subject based on the ideXlab platform.
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the psychology of rituals an integrative review and process based framework
Personality and Social Psychology Review, 2018Co-Authors: Nicholas Hobson, Juliana Schroeder, Jane L Risen, Dimitris Xygalatas, Michael InzlichtAbstract:Traditionally, ritual has been studied from broad sociocultural perspectives, with little consideration of the psychological processes at play. Recently, however, psychologists have begun turning their attention to the study of ritual, uncovering the causal mechanisms driving this Universal Aspect of human behavior. With growing interest in the psychology of ritual, this article provides an organizing framework to understand recent empirical work from social psychology, cognitive science, anthropology, behavioral economics, and neuroscience. Our framework focuses on three primary regulatory functions of rituals: regulation of (a) emotions, (b) performance goal states, and (c) social connection. We examine the possible mechanisms underlying each function by considering the bottom-up processes that emerge from the physical features of rituals and top-down processes that emerge from the psychological meaning of rituals. Our framework, by appreciating the value of psychological theory, generates novel predictions and enriches our understanding of ritual and human behavior more broadly.
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the psychology of rituals an integrative review and process based framework
Social Science Research Network, 2017Co-Authors: Nicholas Hobson, Juliana Schroeder, Jane L Risen, Dimitris Xygalatas, Michael InzlichtAbstract:Traditionally, ritual has been studied from broad sociocultural perspectives, with little consideration of the psychological processes at play. Recently, however, psychologists have begun turning their attention to the study of ritual, uncovering the causal mechanisms driving this Universal Aspect of human behavior. With growing interest in the psychology of ritual, the current paper provides an organizing framework to understand recent empirical work from social psychology, cognitive science, anthropology, behavioral economics, and neuroscience. Our framework focuses on three primary regulatory functions of rituals: regulation of (1) social connection, (2) emotions, and (3) performance goal states. We examine the possible mechanisms underlying each function by considering the bottom-up processes that emerge from the physical features of rituals and top-down processes that emerge from the psychological meaning of rituals. Our framework, by appreciating the value of psychological theory, generates novel predictions and enriches our understanding of ritual and human behavior more broadly.
Pedram Hassanzadeh - One of the best experts on this subject based on the ideXlab platform.
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the Universal Aspect ratio of vortices in rotating stratified flows theory and simulation
Journal of Fluid Mechanics, 2012Co-Authors: Pedram Hassanzadeh, Philip Marcus, Patrice Le GalAbstract:We derive a relationship for the vortex Aspect ratio (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt–Vaisala frequencies within the vortex and in the background fluid outside the vortex , the Coriolis parameter and the Rossby number of the vortex: . This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the background density gradient need not be uniform. Our relation for has many consequences for equilibrium vortices in rotating stratified flows. For example, cyclones must have ; weak anticyclones (with ) must have ; and strong anticyclones must have . We verify our relation for with numerical simulations of the three-dimensional Boussinesq equations for a wide variety of vortices, including: vortices that are initially in (dissipationless) equilibrium and then evolve due to an imposed weak viscous dissipation or density radiation; anticyclones created by the geostrophic adjustment of a patch of locally mixed density; cyclones created by fluid suction from a small localized region; vortices created from the remnants of the violent breakups of columnar vortices; and weakly non-axisymmetric vortices. The values of the Aspect ratios of our numerically computed vortices validate our relationship for , and generally they differ significantly from the values obtained from the much-cited conjecture that in quasi-geostrophic vortices.
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the Universal Aspect ratio of vortices in rotating stratified flows theory and simulation
arXiv: Fluid Dynamics, 2012Co-Authors: Pedram Hassanzadeh, Philip Marcus, Patrice Le GalAbstract:We derive a relationship for the vortex Aspect ratio $\alpha$ (vertical half-thickness over horizontal length scale) for steady and slowly evolving vortices in rotating stratified fluids, as a function of the Brunt-Vaisala frequencies within the vortex $N_c$ and in the background fluid outside the vortex $\bar{N}$, the Coriolis parameter $f$, and the Rossby number $Ro$ of the vortex: $\alpha^2 = Ro(1+Ro) f^2/(N_c^2-\bar{N}^2)$. This relation is valid for cyclones and anticyclones in either the cyclostrophic or geostrophic regimes; it works with vortices in Boussinesq fluids or ideal gases, and the background density gradient need not be uniform. Our relation for $\alpha$ has many consequences for equilibrium vortices in rotating stratified flows. For example, cyclones must have $N_c^2 > \bar{N}^2$; weak anticyclones (with $|Ro| \bar{N}^2$. We verify our relation for $\alpha$ with numerical simulations of the three-dimensional Boussinesq equations for a wide variety of vortices, including: vortices that are initially in (dissipationless) equilibrium and then evolve due to an imposed weak viscous dissipation or density radiation; anticyclones created by the geostrophic adjustment of a patch of locally mixed density; cyclones created by fluid suction from a small localised region; vortices created from the remnants of the violent breakups of columnar vortices; and weakly non-axisymmetric vortices. The values of the Aspect ratios of our numerically-computed vortices validate our relationship for $\alpha$, and generally they differ significantly from the values obtained from the much-cited conjecture that $\alpha = f/\bar{N}$ in quasi-geostrophic vortices.
