Final report for GITEC-TWO

• Main Authors: Pedersen, Geir, Langtangen, Hans Petter, Johnsgard, Helge, Gjevik, Bjørn
• Format: Report
• Language: English
• Published: Matematisk Institutt, Universitetet i Oslo 1998
• Subjects: VDP::410; Norwegian Sea
• Online Access: http://hdl.handle.net/10852/10214; http://urn.nb.no/URN:NBN:no-29521

The report summarizes the work performed at the Department of Mathematics, during the first two years of the European research project GITEC-TWO (contract ENV4-U96-0297). Some of the result will subsequently be published elsewhere in a more complete form. The project work will continue to the end of 1998. The report adresses the following topics - Development of an optical theory for discrete waves - Run-up and staircase boundaries - Finite element techniques for the Boussinesq equations - Lagrangian finite difference technique for run-up of long waves - Lagrangian finite element technique for run-up of long waves - Testing of run-up models by comparison to analytical solutions - Parallel models - Domain decomposition; multiphysics - Bore propagation and ru-up - Boundary element method for full potential theory - Discusion of physichal effects and validity of long wave approximations Introduction: In the first GITEC project the UiO group performed a series of case studies concerning tsunami events in the Atlantic, the eastern Mediterranean and the Norwegian sea. During the project the focus was slightly shifted towards general model analysis and development. Preliminary Lagrangian run-up models and finite element (FE) techniques for Boussinesq equations were reported. Moreover, tests concerning the convergence and applicability of the standard long wave models were included in the case studies or carried out as separate tasks. Continuing this line of investigation, we have focused mainly on model activities in GITEC-TWO, even though the work on the 1969 tsunami outside Portugal has continued and the study of the Tafjord event (1934) has been renewed. All the model activities rely heavily upon the experience from these and other case studies from the preceding project and elsewhere. Moreover, we have addressed a set of idealized, but challenging test cases, to obtain an improved insight in physics as well as numerics. This will enable us to exploit our new modeling tools in full studies of actual events with ...