Eliandro Rodrigues Cirilo

Avaliação computacional de esquemas convectivos em problemas de dinâmica dos fluidos

This article provides a computational evaluation of the popular high resolution upwind WACEB, CUBISTA and ADBQUICKEST schemes for solving non-linear fluid dynamics problems. By using the finite difference methodology, the schemes are analyzed and implemented in the context of normalized variables of Leonard. In order to access the performance of the schemes, Riemann problems for 1D Burgers, Euler and shallow water equations are considered. From the numerical results, the schemes are ranked according to their performance in solving these non-linear equations. The best scheme is then applied in the numerical simulation of tridimensional incompressible moving free surface flows.

Development of an Android application to generate meshes in curvilinear coordinates from contour points acquired by GPS

The simulation of differential equations has been widely used to solve problems in different areas. However, it is often necessary to know the geometry under study, and its description in computational meshes suitable to the problem is a difficult task. Furthermore, the problem may be associated with large geometries, making its representation difficult. For this reason, the paper aims to develop a mobile application for Android, in which the user can acquire a set of points delimiting the contour of a study area, based on GPS locations, and also build a computational mesh of the region, in the curvilinear coordinate system. To verify the functioning of the application and evaluate its results, an experiment was conducted using the developed application. The experiment involved a comparison between contours of a lake, acquired in two different ways: Google Earth images and the application. For this experiment, satisfactory results are obtained.

Propagação de Sólitons em Fibras Óticas Dissipativas

Toda a propagacao de onda apresenta algum tipo de perda e, por menor que seja esta perda, gerara o decaimento desta onda. Dessa forma, o principal objetivo deste trabalho e estudar a perda de potencia de ondas do tipo soliton durante a propagacao atraves de fibras oticas dissipativas e avaliar o impacto desta dissipacao na transmissao do sinal soliton. Neste contexto, foi desenvolvido um procedimento numerico para resolver um sistema de equacoes diferenciais parciais que descrevem esta propagacao. Este procedimento foi fundamentado no metodo das diferencas finitas e no metodo de Gauss-Seidel com relaxacao e atraves dele e possivel observar e analisar o decaimento da onda soliton, enquanto esta se propaga.