Solving non-stationary freesurface problem with conformal mapping technique

A thesis accepted by Tallinn University of Technology for the Degree of Bachelor of Science

Author:
Päivo Simson

Tallinn University of Technology, Estonia

Promoters:
Pearu Peterson, PhD

Institute of Cybernetics at Tallinn Technical University, Estonia

Opponents:
Jaan Kalda, PhD.

Institute of Cybernetics at Tallinn Technical University, Estonia

Abstract:

In this thesis a novel method based on the conformal mapping technique is considered for solving free surface problem of ideal incompressible irrotational flow. A detailed overview of the method is presented and evolution equations for numerical integration scheme as well as for analytical study are derived. Some examples of numerical calculations are demonstrated. The forth part of the work contains an orignal method developed by the author for solving evolution equations using perturbation theory with practical applications.

Place/venue:

The presentation of the thesis took place on June, 2006, at Tallinn University of Technology, Tallinn, Estonia.

Notes:

Thesis is written in Estonian.

Softcopy:

http://cens.ioc.ee/~pearu/theses/paivo_bsc_2006.pdf (0.66MB).