title: Extreme waves: analysis of free surface models
reg no: ETF5767
project type: Estonian Science Foundation research grant
subject: 2.3. Mechanics
status: accepted
institution: Institute of Cybernetics at Tallinn Technical University
head of project: Pearu Peterson
duration: 01.01.2004 - 31.12.2007
description: The project deals with the analysis of approximationless and simplified (low-dimensional) models of fluids with freesurface.

When a low-dimensional freesurface model describes well a wave field then in cases when extreme waves (nonbreaking very high waves that are localized in time as well as in space) emerge the assumptions made in deriving the model may be violated. For practical problems one must take into account that in such cases the predictions of low-dimensional models may not reflect physical reality anymore even though their solutions are correct in mathematical sense.

The aim of this project is to estimate the validity of various freesurface models for describing extreme waves with applications to maritime problems.

As a result of fulfilling this project a strong theoretical as well as software base will be created for solving freesurface problems. This result will be applied for examination of various practical problems (deterministic generation of waves in hydrodynamic laboratories, predicting wave breakage, the influence of high speed ship waves to sediment transport, etc.).

In every year students from TTU will be brought along to fulfill the projects goals.

In 2004 the following tasks are planned:
1) studies of simplified models of freesurface fluid
2) developing a software environment for numerical model of ideal fluid with freesurface;
3) BSc program: the statement of free surface problem, estimating errors made when using linear models or KdV approximations, comparison of velocity fields of water particles;
4) modification of numerical methods;
5) preparation of articles and conference presentations.

Cooperation partners: University of Twente, The Netherlands; Institute of Marine Systems at TTU; Department of Mechanics at TTU.



project group
no name institution position  
1.Pearu PetersonInstitute of Cybernetics at Tallinn Technical Universitysenior researcher