Large amplitude internal solitary waves in the coastal ocean are commonly modelled with the Korteweg-de Vries (KdV) equation or a closely related evolution equation. The characteristic feature of these models is the solitary wave solution, and it is well documented that these provide the basic paradigm for the interpretation of oceanic observations. However, often internal waves in the ocean survive for several inertial periods, and in that case, the KdV equation is supplemented with a linear non-local term representing the effects of background rotation, commonly called the Ostrovsky equation. This equation does not support solitary wave solutions, and instead a solitary-like initial condition collapses due to radiation of inertia-gravity waves, with instead the long-time outcome typically being an unsteady nonlinear wave packet. The KdV equation and the Ostrovsky equation are formulated on the assumption that only a single vertical mode is used. In this thesis we consider the situation when two vertical modes are used, due to a near-resonance between their respective linear long wave phase speeds. This phenomenon can be described by a pair of coupled Ostrovsky equations, which is derived asymptotically from the full set of Euler equations and solved numerically using a pseudo-spectral method. The derivation of a system of coupled Ostrovsky equations is an important extension of coupled KdV equations on the one hand, and a single Ostrovsky equation on the other hand. The analytic structure and dynamical behaviour of the system have been elucidated in two main cases. The first case is when there is no background shear flow, while the second case is when the background state contains current shear, and both cases lead to new solution types with rich dynamical behaviour. We demonstrate that solitary-like initial conditions typically collapse into two unsteady nonlinear wave packets, propagating with distinct speeds corresponding to the extremum value in the group velocities. However, a background shear flow allows for several types of dynamical behaviour, supporting both unsteady and steady nonlinear wave packets, propagating with the speeds which can be predicted from the linear dispersion relation. In addition, in some cases secondary wave packets are formed associated with certain resonances which also can be identified from the linear dispersion relation. Finally, as a by-product of this study it was shown that a background shear flow can lead to the anomalous version of the single Ostrovsky equation, which supports a steady wave packet.

Les modèles numériques d'océans régionaux tridimensionnels sont basés sur la résolution des équations primitives et utilisent pour la plupart des méthodes de résolution eulérienne de type différences finies sur des grilles décalées. Ces modèles doivent représenter fidèlement les transports et transferts d'énergie. L'amélioration de ces modèles numériques exige donc (i) l'identification des processus prépondérants, notamment en terme de dissipation, dans ces transferts et (ii) la construction de méthodes numériques respectant un certain nombre d'équilibres. La première partie du travail se concentre sur la propagation des ondes externes et internes de gravité. Nous nous intéresserons en premier lieu à la stabilité de la séparation en mode rapide (barotrope) et lents (baroclines) et montrons qu'elle peut être ameliorée en levant certaines hypothèses traditionnellement effectuées. Dans un second temps, nous étudions l'impact de la discrétisation (ordre des schémas, grilles décalées ou non) sur la propagation des ondes internes de gravité provenant du couplage vitesse pression. Une décomposition en modes verticaux nous permet également de proposer un schéma espace temps très efficace. La seconde partie étudie en détail les schémas d'advection de quantité de mouvement et de traceurs, tout particulièrement dans l'objectif d'une réduction de la diffusion diapycnale (diffusion dans les directions orthogonales aux couches de densité constante). Ce travail nous amène tout d'abord à porter notre attention sur les schémas d'advection verticaux souvent négligés au regard de la dimension horizontale. Les bonnes propriétés d'un schéma compact (et de ses variantes espace temps et monotones) sont mises en avant. Enfin nous analysons le comportement multidimensionnel de ces schémas d'advection. / Three-dimensional regional ocean numerical models are based on solving the primitive equations and mostly use Eulerian finite differences methods of resolution on staggered grids. These models must accurately represent transports and energy transfers. Improving these numerical models therefore requires (i) the identification of predominant process, particularly in terms of dissipation in these transfers and (ii) the construction of numerical methods respecting a number of balances. The first part of the work focuses on the propagation of external and internal gravity waves. We focus primarily on the stability of the separation in fast mode (barotropic) and slow (baroclinic) and show that it can be improved by removing certain assumptions traditionally made. In a second step, we study the impact of the discretization (order of schemes, staggered grids or not) on the propagation of internal gravity waves coming from the coupling velocity pressure. A decomposition into vertical modes also allows us to offer a highly effective space-time scheme. The second part examines in detail the numerical advection schemes of momentum and tracers, especially with the aim of reducing the diapycnal diffusion (diffusion in the orthogonal direction of constant density layers). This work leads us first to focus our attention on the vertical advection schemes often overlooked in front of the horizontal dimension. The good properties of a compact schema (and its space-time and monotonous variants ) are highlighted. Finally we analyze the multidimensional behavior of these advection schemes.

Μελετάται αριθμητικά η υδροδυναμική κυκλοφορία του Πατραϊκού κόλπου. Σκοπό αποτελεί η κατανόηση της τρισδιάστατης δομής της ροής που προκαλείται υπό διάφορες φυσικές φορτίσεις, δηλαδή τον άνεμο, την παλίρροια και τη στρωμάτωση. Η αριθμητική προσομοίωση γίνεται με τον τρισδιάστατο αριθμητικό κώδικας πεπερασμένων όγκων MIKE 3 FM (HD,TR). Η ανεμογενής κυκλοφορία, κατά τους χειμερινούς μήνες οπότε ο κόλπος σύμφωνα με μετρήσεις είναι ομογενής, παρουσιάζει στοιχεία ροής μεγάλης κλίμακας, με επιρροή από τη δύναμη Coriolis, ανάπτυξη στρώματος Ekman και ισχυρά ρεύματα επιστροφής, λίγα μέτρα κάτω από την ελεύθερη επιφάνεια. Ταυτόχρονα, σε περιοχές όπως η θέση του στενού Ρίου-Αντιρρίου η ροή συμπεριφέρεται περισσότερο ως υδραυλική ροή με ταπείνωση της ελεύθερης επιφάνειας και κατακόρυφο προφίλ ταχύτητας, όμοιο με της τυρβώδους ροής Couette. Στην οριζόντια διεύθυνση, η ροή παρουσιάζει έντονα παράκτια ρεύματα και κλίση της ελεύθερης επιφάνειας. Εκτιμάται ότι ο χρόνος ανανέωσης των υδάτων για τον κόλπο θα κυμαίνεται από ένα μήνα έως μία εβδομάδα, ανάλογα με την ένταση του ανέμου. Φαίνεται ότι στα βαθύτερα στρώματα του Πατραϊκού η ανεμογενής ροή δεν επιδρά σημαντικά στην ανανέωση των υδάτων, τα οποία παραμένουν εγκλωβισμένα και επανακυκλοφορούν μεταξύ των δύο εγκάρσιων ραχών που οριοθετούν την λεκάνη του. Τα παλιρροϊκά ρεύματα, τα οποία είναι σημαντικά στον Πατραϊκό, καθορίζουν την κυκλοφορία των υδάτων στο κύριο σώμα του κόλπου και στο στενό Ρίου-Αντιρρίου, ενώ η ανεμογενής ροή είναι καθοριστική κοντά στις ακτές. Η συνδυασμένη δράση ανέμου και παλίρροιας προκαλεί κυκλωνικούς και αντικυκλωνικούς στροβίλους, πλησίον των βορείων και νοτίων ακτών του Πατραϊκού, η φορά των οποίων υπαγορεύεται αποκλειστικά από τα ισχυρά ανεμογενή παράκτια ρεύματα. Η μελέτη της καλοκαιρινής κυκλοφορίας αναδεικνύει σημαντικές διαφορές, σε σύγκριση με την χειμερινή κυκλοφορία των υδάτων στον Πατραϊκό κόλπο. Τα ανεμογενή ρεύματα είναι αμελητέα από τη ζώνη του θερμοκλινούς και κάτω, για τη μέση ένταση ανέμου, ενώ η ένταση της τύρβης περιορίζεται στο επιλίμνιο. Την καλοκαιρινή περίοδο η δράση νοτιοδυτικού ανέμου συνδέεται με την παρουσία αναβλύσεων στις βορειοδυτικές ακτές του όρμου της Ναυπάκτου και στο μέτωπο της λιμνοθάλασσας του Μεσολογγίου. Αναβλύσεις εντοπίζονται και νοτιοδυτικά του Ρίου, μπροστά από την πόλη των Πατρών, για βορειοανατολικούς ανέμους. Στο στενό Ρίου-Αντιρρίου η δράση του ανέμου, αλλά και η παλίρροια οδηγούν στη γένεση εσωτερικών κυμάτων τα οποία προκαλούν κατακόρυφη κυκλοφορία. Κύριο χαρακτηριστικό της κυκλοφορίας των υδάτων στον Πατραϊκό, την καλοκαιρινή περίοδο, είναι ο ισχυρός κυκλωνικός στρόβιλος που παρατηρείται στο κέντρο του κόλπου αναγκάζοντας τα ύδατα σε περιστροφική κίνηση. Με βάση τις αριθμητικές προσομοιώσεις η ύπαρξη ισχυρού κυκλωνικού στροβίλου συνδέεται αποκλειστικά με την παρουσία βορειοανατολικού ανέμου και συγκεκριμένα στη φάση της πλημμυρίδας. Τέλος, με βάση τις αριθμητικές προσομοιώσεις υπολογίζεται το τρισδιάστατο πεδίο ρευμάτων στην ευρύτερη περιοχή του παλαιού και νέου λιμένα Πατρών, καθώς και η διάχυση και μεταφορά των επεξεργασμένων λυμάτων από τον αγωγό της ΔΕΥΑΠ. / The hydrodynamic circulation in the Gulf of Patras, in Western Greece, is studied using three-dimensional numerical simulations. The simulations are performed using the three-dimensional modeling system MIKE 3 FM (HD/TR). The wind-induced circulation is examined in the natural basin of the Gulf of Patras, in which batotropic flow develops, according to field measurements, during the winter months. The simulations show that the wind-induced flow creates strong currents near the coasts, which determine the sense of rotation of the gyres that develop in the Gulf. Strong currents are also created at the Rio-Antirio straits. The wind-induced, barotropic currents do not seem to contribute to the renewal of bottom waters, which recirculate between the two sills. Depending on the speed of the wind forcing the flow, the residence time of the waters in the Gulf of Patras is estimated to range from one month to one week. The tide-induced circulation is important in the Gulf of Patras. Strong, tidal currents have been simulated to develop at the straits of Rio-Antirrio and in the main body of the Gulf, with cyclonic and anticyclonic eddies developing at the northern and southern coasts, respectively. When there is also wind blowing, nearshore gyres develop, the sense of rotation of which is by the wind direction, while in the central part of the Gulf the flow pattern is dictated by the tidal action. Further, the baroclinic wind and tide-induced circulation are studied to investigate the effect of stratification on the structure of the flow. During the summer period the wind-induced flow and the wind generated turbulence driven by winds of medium strength are restricted to the upper layer of the epilimnion, while the strong winds cause tilt and erosion of the thermocline in the central part of the Gulf and generation of internal waves at the straits of Rio-Antirio. Salient features of the summer circulation are the strong upwellings and the central cyclonic gyre which are predicted using numerical simulations. Upwellings occur along the northwesterly portion of the Nafpaktos bay coasts at the westerly part of the Gulf of Corinth, under southwesterly wind, and to the south of Rio cape at the front of the city of Patras, under northeasterly wind. Concerning with the central cyclonic eddy, according to numerical simulations it develops exclusively during the flood tide under the simultaneous action of northeasterly winds. The numerical predictions were validated against satellite images of the surface temperature field determined by NOAA-6 and NOAA-7 which closely confirm the simulation results. Finally, the simulated barotropic and baroclinic flow fields are applied to the calculation of the currents near the port of Patras and to the advection and diffusion of the treated sewage effluents disposed of near the southeasterly coast of the Gulf, near the city of Patras.

Phoenician ships in the broadest sense of the word are the focus of this dissertation and it encompasses the entire period of both Phoenician and Punic seafaring. The study is quantitative, largely historical and archaeological, with the use of secondary sources as well as iconography. The origins of the Phoenician construction technique, the mortise-and-tenon joints, are investigated as well as the various types of Phoenician ships. These are analysed under the headings Merchant ships, Warships and Utility ships. The materials mentioned in Ezekiel’s prophecy about ‘The Ship Tyre’, are analysed, whether they fit the purpose for which they are mentioned. The production process of purple cloth with the use of Murex molluscs is described in detail including an analysis of the boats used to catch the molluscs. The possibility is investigated of whether the Ashkelon Dog Burials could be related to the Phoenician trade in dogs, and whether they could have served as ship dogs. Lastly the difficulties encountered in sailing through the narrow sea straits of the Mediterranean Sea are described, which are subject to Internal waves, affecting the surface water. / Old Testament & Ancient Near Eastern Studies / M. A. (Biblical Archaeology)

Phoenician ships in the broadest sense of the word are the focus of this dissertation and it encompasses the entire period of both Phoenician and Punic seafaring. The study is quantitative, largely historical and archaeological, with the use of secondary sources as well as iconography. The origins of the Phoenician construction technique, the mortise-and-tenon joints, are investigated as well as the various types of Phoenician ships. These are analysed under the headings Merchant ships, Warships and Utility ships. The materials mentioned in Ezekiel’s prophecy about ‘The Ship Tyre’, are analysed, whether they fit the purpose for which they are mentioned. The production process of purple cloth with the use of Murex molluscs is described in detail including an analysis of the boats used to catch the molluscs. The possibility is investigated of whether the Ashkelon Dog Burials could be related to the Phoenician trade in dogs, and whether they could have served as ship dogs. Lastly the difficulties encountered in sailing through the narrow sea straits of the Mediterranean Sea are described, which are subject to Internal waves, affecting the surface water. / Biblical and Ancient Studies / M. A. (Biblical Archaeology)

Les ondes gravito-inertielles jouent un rôle majeur dans les échanges d'énergie globaux sur la planète. Si la génération des ondes est bien connue dans l'atmosphère et l'océan, le devenir de ces ondes au cours de leur propagation n'est pas complètement défini aujourd'hui. Ces ondes peuvent interagir de façon non-linéaire avec elles-mêmes et créer des structures de plus petite échelle qui vont se dissiper plus facilement. Ainsi, le phénomène d'instabilité paramétrique sous-harmonique (PSI), a été étudié de façon expérimentale. Nous avons effectué la première mise en évidence expérimentale de l'interaction de trois ondes planes inertielles bi-dimensionnelles, sous la forme d'une triade résonnante. Cette étude améliore en outre la compréhension de la turbulence en rotation. Les ondes internes peuvent aussi créer, ou interagir avec des écoulements lents de grande échellequi peuvent modifier la biodiversité au fond des océans. Nous avons mis en évidence une situation expérimentale à l'origine d’un tel écoulement moyen induit par les ondes et, à l'aide d'un modèle théorique simplifié, nous avons expliqué la formation de ces écoulements. Enfin, on étudie également des tourbillons en fluide stratifié pour permettre de futures études sur l'interaction d'ondes gravito-inertielles avec des tourbillons. / Inertia-gravity waves play a major role in the global transfer of energy on Earth. Even if wave generation is well understood in the atmosphere and in the ocean, their subsequent evolution is not completely understood. These waves can interact nonlinearly with themselves and create small-scales structures that dissipate more rapidly. Motivated by this, the phenomenon of parametric subharmonic instability (PSI), was studied experimentally. We conducted the first laboratory demonstration of the interaction of three two-dimensional inertial plane waves, as a resonant triad. Inertia-gravity waves can also interact with, and create, mean flows of large scale that can modify the transport of energy, chemical and biological compounds, and thereby have an impact on biodiversity in the ocean. We therefore also demonstrated an experimental situation that gives rise to such a flow field and using a simplified theoretical model, we explained the formation of this flow. Finally, we performed some studies of vortices in stratified fluid, to assist future studies of the interaction of inertia-gravity waves with vortices.

Sedimentation rates and compositions of sinking particles were investigated at three sites on the Beaufort slope and one in Canada Basin during the period 1990-1994 using moored sequential sediment traps. A method was developed to identify the terrigenous and biogenic components of the fluxes. The physical context including ice cover, ocean currents, river inputs, winds, air temperature, incident light, and nutrient availability provide essential information to the interpretation of the particle fluxes and to the understanding of shelf-basin sediment transport in this area. Eddies, internal waves, upwelling and downwelling, and the state of the ice cover all played important and overlapping roles in the pattern of observed fluxes. A peak in the flux of highly terrigenous material under complete ice cover in mid-winter to the northwest of Mackenzie Trough was associated with predominantly downwelling conditions and the passage of a series of eddies and internal waves. A prolonged spring diatom bloom occurred in the mid-slope area and was clearly associated with an early opening of the ice on the east side of the shelf. Higher fluxes at the Canada Basin site were associated with a large eddy clearly identifiable from the current-T-S record and also from the composition of the suspended material carried with it. At the base of the slope (2700 m), the composition was highly terrigenous and remarkably consistent. Higher up the slope (700 m), biogenic peaks in the summer diluted the terrigenous material briefly, but it appears that there is a constant background of highly terrigenous material. There was a high degree of variability between sites and over the slope there was not enough data to asses the inter-annual variability. In Canada Basin, the inter-annual variability was closely linked to the extent of open water in the summer period. At all sites, lateral transport is clearly indicated by the increase in flux with depth. The data robustly demonstrate the need for detailed knowledge of physical processes for informed interpretation of particle fluxes and sediment transport in this area.