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Forskning  -  Mat.nat. fakultetet   -   Matematisk institutt  -   Avdeling for mekanikk

Seminarserie i mekanikk


Foredragene høsten 2007 vil normalt finne sted på mandager kl. 14.15-15.00 i seminarrom B91, 9. etg. i matematikkbygningen. Rommet er reservert for mekanikkseminar fram til 16.00.

Programmet annonseres her og per epost til avdeling for mekanikk etterhvert som det blir klart.

MEKANIKKSEMINARER HØST 2007:

  • Mandag 5/11 kl. 14:15-15:00 i B91: Didier Clamond Lagrangian description of steady waves

    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 tehUniversity of Nice, Sophia-Antipolis.

  • Mandag 27/8 kl. 14:15-15:00 i B91: Hermann M. Fritz Tsunami research

    Part I: Tsunami field reconnaissance

    On 26 December 2004, a great earthquake occurred off the North tip of Sumatra, Indonesia. A transoceanic tsunami was generated resulting in a tsunami death toll in excess of 200,000. The author covered most diverse coastlines impacted by the mega tsunami from the near to the far field encompassing Sumatra (Indonesia), Sri Lanka, The Maldives, Oman, Yemen, Somalia, The Comoros, Madagascar. A variety of standard tsunami field survey techniques were used. Numerous eyewitness interviews were recorded on video to estimate the number of waves, their height and period as well as the tsunami arrival time. In addition overland flow velocities were determined from eyewitness video recordings based on in-situ image rectification and Particle Image Velocimetry (PIV). The author also led tsunami survey teams in the immediate aftermath of the 17 July 2006 South Java tsunami and the 1 April 2007 Solomon Islands tsunami. The tsunami impact is compared against Hurricane Katrina's storm surge.

    Part II: Landslide generated tsunami

    Landslides may pose perceptible tsunami hazards to areas commonly regarded as immune. Tsunamis are commonly associated with submarine earthquakes. However more than 10% of all tsunamis are generated by landslides or landslide like volcano collapses with subaerial, partially submerged or submarine origins. In recorded history landslide generated tsunamis have attained local wave heights and runup heights of more than 100m and 500m, respectively, thereby locally exceeding maximum wave and runup heights of tectonic tsunamis by more than an order of magnitude. The coupling between the landslide motion and the generated tsunami waves is of critical importance given the characteristic trans-critical landslide versus tsunami velocity Froude numbers. Landslide generated tsunamis were investigated most recently in the three-dimensional tsunami basin at Oregon State University (OSU) based on the generalized Froude similarity. The landslide emplacement characteristics were controlled by means of a novel pneumatic landslide generator. Deformable landslides of subaerial and submarine origin were modeled with granular materials. State-of-the-art measurement techniques such as particle image velocimetry (PIV) were applied. Landslide generated tsunamis were investigated previously in a two-dimensional physical laboratory at the Swiss Federal Institute of Technology (ETH). The physical model results were compared to the giant rockslide generated tsunami which struck the shores of the Lituya Bay, Alaska, in 1958. Further the experimental results were used as a benchmark for numerical flow simulations.

    Hermann Fritz is Assistant Professor at the School of Civil and Environmental Engineering, Georgia Institute of Technology.
    His Research interests include:
    Tsunamis; Hurricane storm surges; non-linear and breaking water waves; mass flows (subaerial and submarine landslides, avalanches, debris flows, turbidity currents, pyroclastic flows); oceanic volcano island collapses; hydraulic, coastal, marine and offshore structures; hydropower and wave energy; river engineering; sediment transport and morphologic processes; advanced whole field multi-dimensional measurement techniques (laser-based PIV, LSV and LIF); numerical simulations of multiphase flows; natural hazard mitigation and risk analysis;

  • Tirsdag 14/8 kl. 11:15-12:00 i B91: Michael Stiassnie Viscous Effects on Wave-Generation by Strong Winds

    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.

Foredrag vår 2007

Foredrag høst 2006

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