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Fluid-structure interaction analysis with the particle finite element method

ScholarsArchive at Oregon State University

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Title Fluid-structure interaction analysis with the particle finite element method
Names Zhu, Minjie (creator)
Scott, Michael H. (advisor)
Date Issued 2014-11-06 (iso8601)
Note Graduation date: 2015
Abstract To facilitate the evaluation and design of structures subjected to fluid loading,
a study of fluid-structure interaction (FSI) using the particle finite element method
(PFEM) is presented to approximate the responses and sensitivities of structures
which interact with fluid. A wide range of structural types are permissible by making
no assumptions of the configurations, materials or any properties of the structures.
On the other hand, the Newtonian flows are assumed, which are sufficient for the
fluid that interacts with structures, such as bridges, coastal buildings and off-shore
structures. The particle finite element method is used here as the primary tool
for numerical computation with two advantages. First, both fluid and structural
domains are described with Lagrangian formulation in PFEM, which conform to
the traditional formulation for structural mechanics. Therefore, the interaction and
coupling of both domains can be naturally described at level of differential equations.
Second, the PFEM is a particle based method, where particles are moved by their
own mass and interaction between connected particles. This is convenient to free
surface problems, which is common in most of our applications.
In order to accommodate arbitrary structures in PFEM, the fractional step
method (FSM) used in the original PFEM is modified with better accuracy and
convergence rate. An unified FSM is also proposed for fluid with high viscosity and
fluid elements with consistent mass matrix. The MINI element is used in this study
as replacement of the stabilized linear element to eliminate the additional unknowns
in the original PFEM. As a prerequisite to the reliability based structural design,
the sensitivity analysis of PFEM is studied using the direct differentiation method
(DDM). The large displacement of the fluid domain is considered in forming the sen-
sitivity equations of FSI by introducing the additional geometric sensitivity. The
structural finite element software, OpenSees, is chosen as the platform for implemen-
tation. It is extended by adding new modules at high and low levels of the software
framework. Numerical results computed by OpenSees using PFEM are compared to
analytical solutions, experimental data and results from other numerical methods
which are shown from Chapter 2 to 5.
Genre Thesis/Dissertation
Access Condition http://creativecommons.org/licenses/by-nc-nd/3.0/us/
Topic FSI
Identifier http://hdl.handle.net/1957/54612

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