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The two-dimensional (2-D) evolution of perturbed long weakly nonlinear surface plane, ring and hybrid waves, consisting, to leading order, of a part of a ring and two tangent plane waves, is modelled numerically within the scope of the 2-D Boussinesq–Peregrine system. Numerical runs are initiated and interpreted using the reduced 2-D cylindrical Korteweg–de Vries (cKdV)-type and Kadomtsev–Petviashvili II (KPII) equations. The cKdV-type equation leads to two different models, the KdV$\theta$, where $\theta$ stands for a polar angle, and cKdV equations, depending on whether we use the general or singular (i.e. the envelope of the general) solution of the associated nonlinear first-order differential equation. The KdV$\theta$ equation is also derived directly from the 2-D Boussinesq–Peregrine system and used to analytically describe the intermediate 2-D asymptotics of line solitons subject to sufficiently long transverse perturbations of finite strength, while the cKdV equation is used to initiate outward- and inward-propagating ring waves with localised and periodic perturbations. Both of these equations, together with the KPII equation, are used to model the evolution of hybrid waves, where we show, in particular, that large localised waves (lumps) can appear as transient (emerging and then disappearing) states in the evolution of inward-propagating waves, contributing to the possible mechanisms for the generation of rogue waves. Detailed comparisons are made between the key features of the non-stationary 2-D modelling and relevant predictions of the reduced equations.
In this work, we study the reaction-controlled dual bubbles ripening on a heterogeneous substrate with high surface wettability hysteresis, where the bubbles evolve with constant contact radius but varied contact angle. We first theoretically derived the governing kinetic equation of bubble curvature radius $R_B$, based on which we surprisingly found three possible ripening processes under six different conditions, i.e. the classical Ostwald ripening (the bubble with the larger curvature radius $R_B$ exhibits an increase in $R_B$, while the bubble with the smaller curvature radius $R_B$ experiences a decrease in $R_B$), the reversed ripening (converse to Ostwald ripening), and the consistent ripening ($R_B$ of both bubbles increases or reduces consistently). Further analyses from the aspects of chemical potential and free energy lead to an interesting finding that the $R_B$ of two bubbles finally reach egalitarianism, independently of different ripening processes. Numerical results obtained from two-phase lattice Boltzmann modelling demonstrate excellent agreement with theoretical predictions, specifically concerning the kinetic equation, the various ripening processes, and the egalitarianism of bubble radii $R_B$ after ripening completion.
This study investigates the dynamics of free-surface turbulence (FST) using direct numerical simulations (DNS). We focus on the energy exchange between the deformed free-surface and underlying turbulence, examining the influence of high Reynolds (${\textit{Re}}$) and Weber (${\textit{We}}$) numbers at low to moderate Froude (${\textit{Fr}}$) numbers. The two-fluid DNS of FST at the simulated conditions is able to incorporate air entrainment effects in a statistical steady state. Results reveal that a high ${\textit{We}}$ number primarily affects entrained bubble shapes (sphericity), while ${\textit{Fr}}$ significantly alters free-surface deformation, two-dimensional compressibility and turbulent kinetic energy (TKE) modulation. Vortical structures are mainly oriented parallel to the interface. At lower ${\textit{Fr}}$, kinetic energy is redistributed between horizontal and vertical components, aligning with rapid distortion theory, whereas higher ${\textit{Fr}}$ preserves isotropy near the surface. Evidence of a reverse or dual energy cascade is verified through third-order structure functions, with upscale transfer near the integral length scale, and enhanced vertical kinetic energy in upwelling eddies. Phase-based discrete wavelet transforms of TKE show weaker decay at the smallest scales near the interface, suggesting contributions from gravitational energy conversion and reduced dissipation. The wavelet energy spectra also exhibits different scaling laws across the wavenumber range, with a $-3$ slope within the inertial subrange. These findings highlight scale- and proximity-dependent effects on two-phase TKE transport, with implications for subgrid modelling.
Assesses the macroevolutionary turnover of paleotropical planktic graptolites during the Late Ordovician Mass Extinction (LOME) via automated sequencing and capture-mark-recapture modeling. Graptolites exhibited a succession of turnover pulses (sensu Elizabeth Vrba) that were coincident with the main phases of the Hirnantian glaciation and during which the Diplograptina experienced declining metapopulation size, elevated extinction, zero species originations, and ultimately, complete extermination. Concurrently, the Neograptina (latest Katian temperate zone immigrants) exhibit pulses of both extinction and adaptive radiation. Thus, the LOME involved intense species selection and the wholesale alteration of the clade diversity structure of a major element of the zooplankton. The LOME is unlikely to have been a direct effect of ocean anoxia or sampling bias but rather resulted from Hirnantian climate change, which altered nutrient supplies and plankton community compositions along with ecological displacement and loss of habitat that together drove the succession of turnover pulses. This title is also available as open access on Cambridge Core.
The results of the taxonomic, taphonomic, and paleoecological analyses of Late Pleistocene micromammals from the Salto de Piedra paleontological locality are presented in this paper. Our results support the conclusion that the microfaunal remains were mainly accumulated by diurnal raptors in areas close to where the remains were deposited, as there is no evidence of transport. Taxonomically, the recovered micromammals include rodents currently inhabiting the Humid Pampa (Calomys cf. C. musculinus-laucha, Ctenomys sp., and Reithrodon auritus) and species that became extinct during the Late Pleistocene (Microcavia cf. M. robusta) and Holocene (Galea tixiensis). Additionally, remains of the Patagonian marsupial Lestodelphys halli and the amphibious sigmodontine Holochilus brasiliensis were identified. These analyses, along with the paleoecological and malacological studies at Salto de Piedra, confirm a trend toward increased humidity, consistent with the paleoenvironmental evidence documented for the region at the end of the Pleistocene. This study of the central Humid Pampa based on this small mammal record is of particular interest for interpreting the paleoenvironmental and paleoecological scenario, coinciding with the arrival of the first humans in the area and the extinction of the megafauna.
The increase in the observational network and data assimilation, linked with advancements in the computational area in recent years, has led to important new findings in the meteorology and climatology of South America. Hence, here is presented a literature review that begins describing the various annual cycles of precipitation and air temperature observed across South America, highlighting two contrasting areas: the Atacama Desert, the driest place on Earth, and western Colombia, one of the wettest regions in the world. Next, we present the low- and upper-level atmospheric circulation patterns that control the continent’s diverse climates, with an emphasis on the development of the South American Monsoon System. The review also covers the major atmospheric systems affecting the continent at different temporal and spatial scales, such as the Intertropical Convergence Zone, the South Atlantic Convergence Zone, low-level jets, fronts, synoptic-scale cyclones, and mesoscale convective systems. In addition, the climate variability and main teleconnection patterns that affect South America, as well as the climate models’ present-day performance and their future climate projections for the end of the century, are addressed. We conclude by identifying some of the current gaps and discussing future research challenges within the context of South American weather and climate.
In this experimental study, we investigate, for the first time, the structure and evolution of the near wake of a circular cylinder in a flowing soap film at the onset of vortex shedding. The study primarily focuses on the changes occurring within the recirculation bubble, along with the evolution of vortex shedding. A significantly large recirculation bubble forms behind the cylinder in the soap film environment, characterized by small-scale vortices along its edges, an observation that starkly contrasts with its three-dimensional counterparts. These small-scale vortices driven by the Kelvin–Helmholtz instability, further induce a transverse deflection of the recirculation bubble, leading to an intermittent generation of the wake vortices. The instantaneous velocity field in the wake is examined, highlighting the clear evidence of intermittency in vortex formation. The frequency and wavelength of the chain of small-scale vortices on the recirculation bubble is evaluated, and a functional relationship with the flow Reynolds number is determined. We believe this observation to be novel, potentially revealing a new pathway for understanding the two-dimensional transition in bluff-body wakes.
Chapter 1 provides an overview of the main features of the general circulation and climate dynamics of the Southern Hemisphere troposphere, including the role of weather systems. The aim of the chapter is to explain, in broad terms, the physical mechanisms shaping Southern Hemisphere tropospheric climate. Many treatments of the atmospheric general circulation place a strong emphasis on the governing equations, as expressed in terms of budgets and fluxes, which invariably leads to an emphasis on the zonal mean. Chapter 1 takes a complementary and more phenomenological perspective starting from regional climatic features. This aligns with the current interest in understanding regional aspects of climate change and provides a foundation for other chapters in the monograph. The chapter begins by describing these regional climatic features through spatial maps of key dynamical fields. It then explains those features in terms of phenomena anchored in dynamical theory, such as monsoon circulations and storm tracks, including their zonal asymmetries. The discussion covers tropical, subtropical, and extratropical tropospheric phenomena and the connections between them. The chapter concludes with a brief discussion of how the regional phenomena discussed here are expected to respond to climate change.
The meteorology of the Southern Hemisphere (SH) tropics is dominated by planetary-scale waves, interannual variations in sea surface temperature, and local forcing from topographic, coastal, and land-surface influences. The weather and climate of the SH tropics are inextricably linked with that of the NH tropics via the Intertropical Convergence Zone, cross-equatorial flows, and dynamically connected disturbances such as equatorial Kelvin waves. Despite this coupling to the NH, the SH tropics have distinct and fascinating characteristics, including the interaction of planetary-scale disturbances with the SH monsoons; the multi-scale interactions over the Maritime Continent; the influence of tropical waves on extreme rainfall in Africa; the ubiquitous footprint of the MJO on the SH tropics in all three continents; the enhanced wet season convective activity over the Maritime Continent, the Amazon forest and parts of Africa; the northwest-to-southeast orientation of the South Pacific and South Atlantic convergence zones; and the unique distribution of tropical cyclones which span an almost continuous zone from East Africa to the South Pacific. In this chapter, we describe the unique influences on the meteorology of the land areas of the SH tropics. The influence of large-scale circulation patterns and modes of tropical variability on the meteorology of the SH tropics is then discussed. We explore the mesoscale, coastal, diurnal, and topographic aspects of SH tropical meteorology, followed by a review of the characteristics and distribution of tropical cyclones in the Southern Hemisphere. Finally, we examine the observed trends and projections in the SH tropics before concluding with a discussion of the main gaps and future prospects for weather and climate research in the region.
Slip effects on solid boundaries are common in complex fluids. Boundary depletion layers in polymer solutions can create apparent slip effects, which can in turn significantly impact the dynamics of moving bodies. Motivated by microswimmer locomotion in such environments, we derive a series of slip slender-body theories for filamentous bodies experiencing slip-like boundary conditions. Using Navier’s slip model, we derive three slip slender-body theories, linking the body’s velocity to the distribution of hydrodynamic forces. The models are shown to be consistent with each other and with existing numerical computations. As the slip length increases, we show that the drag parallel to the body decreases towards zero while the perpendicular drag remains finite, in a manner which we quantify. This reduction in drag ratio is shown to be inversely related to microswimmer mobility in two simple swimmer models. This increase could help rationalise empirically observed enhanced swimming in complex fluids.
This paper investigates the flow past a flexible splitter plate attached to the rear of a fixed circular cylinder at low Reynolds number 150. A systematic exploration of the plate length ($L/D$), flexibility coefficient ($S^{*}$) and mass ratio ($m^{*}$) reveals new laws and phenomena. The large-amplitude vibration of the structure is attributed to a resonance phenomenon induced by fluid–structure interaction. The modal decomposition indicates that resonance arises from the coupling between the first and second structural modes, where the excitation of the second structural mode plays a critical role. Due to the combined effects of added mass and periodic stiffness variations, the two modes become synchronised, oscillating at the same frequency while maintaining fixed phase difference $\pi /2$. This further results in the resonant frequency being locked at half of the second natural frequency, which is approximately three times the first natural frequency. A reduction in plate length and an increase in mass ratio are both associated with a narrower resonant locking range, while a higher mass ratio also shifts this range towards lower frequencies. A symmetry-breaking bifurcation is observed for cases with $L/D\leqslant 3.5$, whereas for $L/D=4.0$, the flow remains in a steady state with a stationary splitter plate prior to the onset of resonance. For cases with a short flexible plate and a high mass ratio, the shortened resonance interval causes the plate to return to the symmetry-breaking stage after resonance, gradually approaching an equilibrium position determined by the flow field characteristics at high flexibility coefficients.
Some key innovations in recent decades have led to improvements in understanding of Southern Hemisphere meteorology. These include more satellite data streams and better integration of these streams into modern data assimilation systems. These, in turn, have led to better representation of the Southern Hemisphere atmosphere in reanalysis datasets and a narrowing of the weather forecast skill gap between the Northern and Southern Hemispheres. The availability of better and longer reanalysis datasets has facilitated more study of the distributions and variability of extratropical storm systems, jetstreams, and the stormtracks in the Southern Hemisphere. These studies depict the Indian Ocean sector as the main genesis region for many extratropical cyclones, with a concentrated jetstream and highly transient synoptic systems dominating variability in the synoptic timeband. The Pacific Ocean sector is strongly influenced by the splitting of the polar and subtropical jets and features more, and longer-lived, blocking events, dominating variability in the slow synoptic band (5–10 days). The dynamical understanding of these systems has also advanced with the application of Rossby wave theory and backtracking studies that reveal the role of Rossby wave breaking in many extreme events. Even local extremes can be shown to depend on large-scale wavetrains that regulate the onset and persistence of the event. Studies of Southern Hemisphere meteorology have also highlighted major uncertainties in understanding. Climatologies of Southern Hemisphere synoptic systems, including fronts, cut-off lows, and blocking, are sensitive to the choices used to define these systems. This is particularly acute in the case of blocking, where there is no complete theory that accounts for the lifecycle, distribution, and variability of blocking events, and relatively fewer studies on Southern Hemisphere blocking characteristics. Similarly, there are a range of views (reflecting underlying choices) of what the Southern Hemisphere stormtracks look like and competing theories of how those stormtracks are influenced by tropical teleconnections.
Climate models remain an essential tool for studying the complexity of the climate system and for predicting the future evolution of the system. This chapter provides insight into the science of climate modelling in the Southern Hemisphere. It reviews the recent developments and improvements in climate modelling, including downscaling methods, parameterisation schemes, and model resolutions. It also discusses the usage of climate models, with a focus on their value in climate process studies, climate predictability, weather predictions, and seasonal forecasts, as well as climate change projections, management, detection, and attribution. This chapter reveals the challenges faced by the climate modelling community in the Southern Hemisphere and suggests directions for future research that could further unleash the potential of climate modelling in this hemisphere.
The meteorology of the stratosphere in the Southern Hemisphere (SH) plays a critical role in the variability of the ozone hole and also has a major influence on surface climate and weather. The predominant feature of the stratosphere is a band of strong mid- to high-latitude westerlies that surround a very cold pole and exist from autumn to spring. This ‘polar vortex’ is stronger and less variable in the SH than in the Northern Hemisphere, and the low temperatures and isolation within the vortex are key conditions necessary for rapid chemical destruction of Antarctic ozone. The largest interannual variability in the SH occurs in spring and is associated primarily with variability in the strength and timing of the seasonal breakdown of the polar vortex. Interannual variability and trends in the timing of the vortex breakdown are coupled to variability and trends in the summertime Southern Annular Mode and its associated influence on tropospheric and surface climate. A rapid warming of the polar stratosphere and weakening of the westerlies occurred in September 2002 and 2019, resulting in small ozone holes for those years. These are the only two observed occurrences of such events in the SH. In addition, observations show significant trends in vortex characteristics (colder, stronger winds, later breakup) during the 1980s and 1990s, but not since 2000. These pre-2000 trends and post-2000 pause are consistent with Antarctic ozone hole trends (growth, followed by initial signs of recovery) since the 1980s. Interactions between ozone chemistry and the stratospheric circulation, which occurs across timescales, can enhance the coupling of the stratosphere to the troposphere, with implications for both interannual and long-term changes in SH weather and climate.