Previous seminars - Page 6

This presentation concerns the mathematical formulation of steady surface gravity waves in a Lagrangian description of motion. It will be demonstrated that classical second-order Lagrangian Stokes-like approximations do not represent a steady wave motion in the presence of net mass transport (Stokes drift). A general mathematically correct formulation is then derived. This derivation leads naturally to a Lagrangian Stokes-like perturbation scheme that is uniformly valid for all time, i.e. without secular terms. This scheme is illustrated, both for irrotational waves, with seventh-order and third-order approximations in deep water and finite depth, respectively, and for rotational waves with a third-order approximation of the Gerstner-like wave on finite depth. It is also shown that the Lagrangian approximations are more accurate than their Eulerian counterparts of same order.

Didier Clamond has been a post.-doc. at the Department at Mathematics, UiO. He is now faculty member at the University of Nice, Sophia-Antipolis.

Oljeindustrien i Norge startet opp på 70-tallet, dvs. at mange av de konstruksjoner som står i nordsjøen nå er over 30år gamle. Ny teknologi gjør at oljeselskapene kan ta ut mer olje og gass av reservoarene enn det som opprinnelig var planlagt. Dessuten finner de nye felt som utvinnes via undervannsteknologi, men som fordrer behandling på eksisterende konstruksjoner. Dette gjør at levetiden til eksisterende konstruksjoner må forlenges. Forlengelse av levetid for store komplekse konstruksjoner er en av kjernevirksomhetene til konstruksjonsavdelingen i FORCE Technology. Ved bruk av avanserte berengningsmodeller/programmer bistår vi våre kunder med å evaluere nye miljølaster (bølger, vind, strøm etc.), nye vekter og ikke minst konstruksjonens integritet som følge av disse nye endringene. Foredraget vil gi eksempler på noen prosjekter FORCE jobber med, programmer vi bruker og teorien bak noen av disse.  Vi ønsker ikke minst studenter velkommen til seminaret. Både interesserte på bachelor- og masterstudiet. Det vil være mulighet for en samtale med FORCE etter foredraget med tanke på mulig ansettelse i FORCE. Klikk herfor mer informasjon.

The talk deals with the stability of water waves in a shear flow. A carefully designed numerical solver enables to extend the range of previous calculations, and to obtain results for larger wavelengths (up to 20 cm) and stronger winds (up to a shear-velocity of 1 m/s). The main finding is the appearance of a second unstable mode which quite often turns out to be the dominant one. A comparison between results from the viscous model (Orr-Sommerfeld equations), and those of the inviscid model (Rayleigh equations), for 18cm long waves, reveals some similarity in the structure of the eigenfunctions, but a significant difference in the imaginary part of the eigenvalues (i.e. the growth-rate). It is found that the growth-rate for the viscous model is 10 fold larger than that of the inviscid one.

Michael Stiassnie er professor ved Technion, Israel

Computer simulation is a powerful tool, which utilizes the power of computers in order to support and enforce the creativity of structural engineers. Although it is frequently used in research and development its potential for civil engineering practice has not yet been fully exploited. This is in part due to a lack of appropriate software tools well suited for this purpose. The author is involved in development of the software ATENA, which is aimed to bridge this gap. Theoretical background, solution methods and algorithmic solutions will be briefly described and validations of the models by experiments will be shown. The presentation will focus on numerous examples form engineering practice ranging from small (fastenings to concrete) to large structures (highway bridge, nuclear power plant containment). It will be shown that numerical simulation is becoming a powerful tool for solution of demanding problems of existing as well as new constructions.

Dr. Cervenka is the founder of the company Cervenka Consulting in Prague, Czech Republic. He is an internationally recognized expert in the field of mechanics of concrete structures and author of many scientific publications. His PhD thesis (University of Colorado, USA, 1970) on the topic of "Inelastic Finite Element Analysis of Reinforced Concrete Panels under In-Plane Loads", was a major contribution to the development of numerical models of concrete structures. He is recipient of numerous awards: Alexander von Humboldt research fellowship in Germany, Kajima foundation in Japan, Fellow of the Czech Engineering Academy, University of Colorado Distinguished Engineering Alumnus, and others. At present his main activity is in research and consulting in the field of concrete structures.

We present a fast marching level set method for reservoir simulation based on a fractional flow formulation of two-phase, incompressible, immiscible flow in two or three space dimensions. The method uses a fast marching approach and is therefore considerably faster than conventional finite difference methods. The fast marching approach compares favorably with a front tracking method as regards both efficiency and accuracy. In addition, it maintains the advantage of being able to handle changing topologies of the front structure.

Co-authored with Knut-Andreas Lie and Kenneth Karlsen

Nils Henrik Risebro is professor at CMA

Main advantages and challenges of using Domain-Decomposition (DD) strategies for marine applications are examined. Splitting algorithms are discussed with emphasis on the spatial DD. Examples are given for platform and ship problems in connection with bottom-slamming and green-water occurrence. Features of the involved DD strategies are described and relevant verification and validation studies reported.

Marilena Greco is professor at Department of Marine hydrodynamics at NTNU

Ocean Engineering (OE) is considered by many to be a matured field which is mainly controlled by the oil industries. However, due to the growing interdiciplinary nature of OE, it presents new exciting challenges for scientists and engineers with a solid background in topics like hydrodynamics, acoustics, physio-chemistry as well as electro-kinetics, electromagnetics and control theory. Some practical examples will be discussed.

Touvia Miloh is professor at Tel Aviv University.

Presentasjonen omhandler fokus, hovedsamarbeidspartnere, og om hvordan mekanikk kan bidra til den nye SFFen

Hans Petter Langtangen er utdannet på mekanikk og var ansatt på Matematisk institutt før han flyttet til IFI og etterhvert SIMULA senteret. Langtangen er leder av den nye SFFen

This seminar will be focused on some elementary structural systems such as the cantilever beam. The cantilever is an old problem in structural mechanics already investigated by Galileo (1638) from equilibrium and strength arguments. This structural paradigm will be reconsidered here using buckling, post-buckling and inelastic theory. We will first present some fundamental buckling results for axially loaded columns. This model covers the case of a tree under its own weight or gives an answer to Babel mythology, at least from the stability theory point of view. This in-plane buckling problem in presence of distributed and concentrated axial forces has been recently exactly solved using hypergeometric functions. The post-buckling behavior associated with a nonlinear boundaryvalue problem will be also discussed using some asymptotic and numerical methods. The out-of-plane buckling problem of this cantilever beam will be further investigated. The lateral-torsiona l buckling problem of Prandtl (1899) dealing with the stability boundary of a beam loaded by its own weight and a concentrated force will be also solved. The convexity theorem of Papkovitch and Schaefer (1934) will be shown for these structural problems. The seminar will be concluded by the inelastic analysis of the beam in bending. We will show the need to develop a nonlocal plasticity law to describe the post-failure behavior of a beam in presence of softening. Wood’s paradox (1968) is overcome by using a nonlocal plasticity model. The Galileo problem is then revisited in the light of nonlocal mechanics. Applications of such theoretical studies can be found in the field of civil engineering at the macro scale (reinforced concrete design, timber beams, steel or composite beams…), but also at micro- or nano-scales including for instance nanostructures.

Challamel is Professor of Civil Engineering, University of South Brittany, Lorient, France, and Marie Curie Fellow in solid mechanics (faststoffmekanikk) at UiO (2011/2012).

Aleksey Marchenko is professor and departemental leader for the UNIS Arctic Technology department

Morten Haug Emilsen is at VP Software and Technology, Add Wellflow AS

Volume tracking is a popular method for the computation of two phase flow problems. In this talk we present a reformulation of volume tracking in two dimensions in terms of an explicit tracking of the interface between the two immiscible phases. This allows for a higher order accurate representation of the interface with respect to the spatial discretization while conserving the mass up to roundoff precision.

Joris Verschaeve is postdoc at the Mechanics Division, Department of Mathematics, University of Oslo.

The fundamental mechanisms of plasticity in inorganic glasses are distinctly different from those in crystalline metals. Whereas dislocations and their mobility require plasticity in metals, mechanisms responsible for permanent deformation in glasses are to be looked at the atomistic scale. The lecture will deal with this and will involve topics such as for instance constitutive material laws, plasticity theory, dislocation theory, computational mechanics, multiscale analysis, finite element methods, crack modelling, etc.

Vincent Keryvin is professor at  Department of Materials Engineering (LIMATB), University of South-Brittany, Lorient, France.

The temporal evolution of the energy spectrum of a field of random surface gravity waves in deep water is investigated by means of direct numerical simulations of the deterministic primitive equations. The detected rate of change of the spectrum is shown to be proportional to the cubic power of the energy density and agree quite well with the nonlinear energy transfer $S_{nl}$ as predicted by Hasselmann. In spite of the fact that use of various asymptotic relations which are valid only for $t\to\infty$ or integration with respect to time over a time scale much longer than $O({\rm period}\times (ak)^{-2})$ are necessary in the derivation of Hasselmann's $S_{nl}$, it is clearly demonstrated that the rate of change of the spectrum given by the numerical simulation agrees quite well with Hasselmann's $S_{nl}$ at every instant of ordinary time scale comparable to the period. The result implies that the four-wave resonant interactions control the evolution of the spectrum at every instant of time, while non-resonant interactions do not make any significant contribution even in a short-term evolution. It is also pointed out that the result may call for a reexamination of the process of derivation of the kinetic equation for the spectrum.

This paper presents a Bayesian hierarchical space-time stochastic model for significant wave height. The model has been fitted by data for an area in the North Atlantic ocean and aims at describing the temporal and spatial variability of significant wave height in this area. It could also serve as foundation for further extensions used for long-term prediction of significant wave height and future return periods of extreme significant wave heights. The main model and preliminary simulation results will be presented. Furthermore, a discussion of possible model extensions and future work will be included.

Erik Vanem is at the Statistics division of the Department of Mathematics at UiO

Thierry Coupez is professor at Mines - Paristech

Randall J. LeVeque, Applied Mathematics Department University of Washington  

Patrick J. Lynett is from the University of Southern California.

We will take a look at ideas for Mechanics Academy (MA), a freely-accessible web-based resource for anyone aiming to learn mechanics.

Harish Narayanan is at SIMULA.

Wave measurements are traditionally performed in one of two locations: either at the sea surface or from below the surface. Both have their challenges and benefits.

Nortek is among those offering a subsurface wave measurement solution. This is done with acoustic Doppler current profilers. The presentation will discuss how subsurface wave measurements have evolved in the last decade. An emphasis will be placed on the challenges that exist and what has been done to expand the limits and improve the performance.