Adaptive FEM of nonlinear fluid-structure interactions

我们将集中在基本的公式和计算问题，以准确和一致的有限元模拟瞬态弹性结构经历大变形和位移（几何和材料非线性）引起的不可压缩流体的流动。我们将讨论不可压缩固体的特殊情况。这是一个具有挑战性、相关性和创新性的项目，因为它将允许模拟生物流体-结构相互作用的行为，如受血管内假体约束的柔顺动脉中的脉动流。我们还将将该方法应用于水下海上结构（管道，立管和锚索等）的设计特征和优化。在稳态可压缩、不可压缩结构和不可压缩流体的模拟中验证了这一新公式的基础。这项工作的影响是双重的。首先，它提供了流固相互作用建模的一般知识进展。第二，它为解决影响加拿大工业竞争力和加拿大人民福祉的核心问题提供了新的工具。

We will focus on fundamental formulation and computational issues for accurate and consistent finite element simulation of transient elastic structures undergoing large deformations and displacements (geometrical and material nonlinearities) induced by the flow of incompressible fluids. We will cover the non trivial case of incompressible solids. This is a challenging, relevant and innovative program since it will allow for simulating the behaviour of biological fluid-structures interactions like pulsatile flow in compliant arteries constrained by endovascular prostheses. We will also apply the methodology to the design caracterisation and optimisation of underwater offshore structures (pipes, risers and anchor lines to name a few). The basis of this new formulation has been verified for steady state compressible and incompressible structures and incompressible fluids simulations. The impact of this work is two-fold. First it provides generic knowledge advances on the modeling of fluid-structure interactions. Secondly it provides new tools to address central questions that affect competitiveness of Canadian industry and the well being of the Canadian population.