Date of Award
Spring 5-2020
Degree Type
Thesis-Restricted
Degree Name
M.S.
Degree Program
Naval Architecture and Marine Engineering
Department
Naval Architecture and Marine Engineering
Major Professor
Xiaochuan Yu
Second Advisor
Lothar Birk
Third Advisor
Nikolas Xiros
Abstract
Monte Carlo (MC) method is one of the commonly used methods to study stochastic statistical problems in the field of marine engineering. There is no doubt that MC’s greatest advantage is its accuracy. However, as a method of using random numbers (or more common pseudo-random numbers) to solve calculation problems, its slow calculation speed is criticized, and its accuracy also depends on the selection of appropriate random times. The equations of the cylindrical motion with three degrees of freedom (surge, heave and pitch) in this article are formulated into a state space model. It is assumed that the small changes in its initial state (including the velocity and inclination of each degree) follow a Gaussian distribution. Linear prediction problems can be solved by using the MC method and unscented transformation (UT), then a satisfactory result can be obtained by comparing the advantages and disadvantages between them. Numerical results in published papers show that the UT method is accurate in predicting the results of cylinders that fall freely into water.
Recommended Citation
Li, Yi, "Application of Monte Carlo (MC) method and Unscented Transformation (UT) method into Trajectory Prediction of a Dropped Cylinder in Two Dimensions" (2020). University of New Orleans Theses and Dissertations. 2783.
https://scholarworks.uno.edu/td/2783
Rights
The University of New Orleans and its agents retain the non-exclusive license to archive and make accessible this dissertation or thesis in whole or in part in all forms of media, now or hereafter known. The author retains all other ownership rights to the copyright of the thesis or dissertation.