Difração e refração de ondas: uma análise por meio de elementos finitos e infinitos

Abstract

In the present work the phenomena of diffraction and refraction of gravitational surface waves is treated by using a two-dimensional formulation, given by Berkhoff's equation. The Finite Element Method is used in the solution of the numerical problem. However, the main objective of this thesis is the formulation and implementation of a computational program with elements that model an infinite domain: they are called Infinite Elements. By studying the existing Infinite Elements it was possible to formulate a new and efficient one. Its geometrical characteristics are the same as for the Isoparametric Finite Element, but the integration is over an unbounded domain. Because the wave potencital is a complex function, a series of difficulties appear in the program development. The program structure for the solution of a real linear system is maintained. The Sky-line technique is used in the storage of the system global matrix. The programming language is FORTRAN.