An Hp-Adaptive Finite Element Procedure For Fluid-Structure Interaction In Fully Eulerian Framework
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Date
2013-05
Authors
Abas, Mohamad Aizat
Journal Title
Journal ISSN
Volume Title
Publisher
Universiti Sains Malaysia
Abstract
This thesis attempts to implement a fully automatic hp-adaptive finite element
procedure for fluid-structure interaction (FSI) problems in two dimensions. This
work hypotesizes the efficacy of Fully Eulerian framework of FSI in hp-adaptivity
on an a posteriori error estimator and adaptation for minimization of error in
energy norm. Automatic mesh adaptation over triangular elements is handled by
red-green-blue (RGB) refinement method. An effective mesh adaptivity to avoid
excessive growth of unknowns is also addressed. Since the hp-method uses high
order polynomials as approximation functions, the resulting system matrices are
less sparse leading to the notion of FSI computation with parallelism. The parallel
hp-adaptive computation is assessed with the conventional uniform and h refinement
on a number of benchmark test cases. Subsequently, the efficacy of the fully
Eulerian framework is compared to the well known Arbitrary Lagrangian Framework(
ALE) for two different material models, namely, the St. Venant Kirchoff
and the Neo-Hookean models. It was found that the fully Eulerian framework
provides accurate FSI predictions for large deformation without need of frequent
remeshing. The hp-adaptive method was also found to be a viable approach in
obtaining accurate solutions without much compromise in computer memory and
time. Furthermore, the integration of parallelism is successful in reducing the
computation time by up to two orders of magnitude relative to the serial solver.
For the comparisons between the ALE and the fully Eulerian frameworks, the
computed solutions in all test cases are observed to be in agreement with each
other.
Description
Keywords
Hp-Adaptive Finite Element , Fully Eulerian Framework