Modelagem matemática e computacional de interação fluido-estrutura com elementos de casca curvilíneos tridimensionais

Abstract

Fluid-structure interaction problems are those in which the dynamics of both, fluid and structure, are coupled. These problems are characterized by the flow conditions and by the structure's physical and geometrical properties. There are numerous natural and industrial phenomena and processes that involve fluid-structure interactions and, depending on the applications, its effects must be explored or minimized. Technological and technical breakthroughs in the fields of civil, mechanical, naval, aeronautic and nuclear engineering require the construction of increasingly lighter and slender structures, more susceptible to the effects of the fluid medium with which they interact. Consequently, there is a growing interest in tools for studying and analysing problems of this nature. The present work presents the implementation of the mathematical-computational modeling of three-dimensional curved shell elements in MFSim, a software developed by the Fluid Mechanics Laboratory (MFLab) of the Federal University of Uberlândia (UFU). In this software, the equations used to model the dynamics of the fluid subsystem are solved in a fixed three-dimensional Eulerian domain with the Finite Volume Method. The equations used to model the dynamics of solid structures are solved in a Lagrangian domain with the Finite Element Method. The Immersed Boundary Methodology, which allows the use of different mathematical methods for fluid and solid subsystems, is also used. The solutions are coupled using the partitioned coupling methodology. Simulations are conducted in order to validate the developed computational model and the results are in accordance with those available in the literature.