Verification of a PC model for wave diffraction

Verification of a PC model for wave diffraction

Shafiee-Far, M.

Battjes, J.A. (mentor)

Civil Engineering and Geosciences

Hydraulic Engineering

1991-01-01

BELUGA is a mathematical model which has been developed by Booij, Holthuijsen and Tolman in Delft University of Thechnology, to compute wave penetration into a harbour taking diffraction and reflection into consideration. The aim of the model is to provide an efficient numerical method for calculation of a wave field in a relatively large harbour and executable on a personal computer. The developed mathematical model is based on linear harmonic wave theory. The numerical technique employed in BELUGA programme can be classified as a boundary element methode The wave field in each boundary point and arbitrary other ones is composed of waves in a number of pre-defined directions; the waves in each direction are computed using the ray methode Diffraction around corner points in harbour contours is taken into account by applying linear superposition of the well-known Sommerfeld solutions. In the present study, a verification of this mathematical model has been carried out thoroughly on academie as well as on realistic test cases. The numerical model outcomes have been compared with analytical solutions and with laboratory measurements which were performed by the Delft Hydraulics Laboratory. By considering the results of the computational method which have been evaluated critically, the model was modified . Re-testing of the model was implemented after the improvement. It has been found that despite using an approximate solution the results of the model BELUGA are in good agreement with analytical exact solutions in simple cases such as a single breakwater and a breakwater gap. In the case of a complicated harbour the results are not in complete agreement with the laboratory measurements and the model needs still improvement. Finally, recommendations are given for further model development and improvement.

Beluga
waves
numerical method
wave theory
diffraction

http://resolver.tudelft.nl/uuid:7a7dbf71-06b4-42e1-a430-fe9391f4a5dc

Student theses

master thesis

(c) 1991 Shafiee-Far, M.