A new formulation for air-blast fluid-structure interaction using an immersed approach: part II-coupling of IGA and meshfree discretizations

A new formulation for air-blast fluid-structure interaction using an immersed approach: part II-coupling of IGA and meshfree discretizations
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DOI:
10.1007/s00466-017-1395-2
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发表时间:
2017-07-01
影响因子:
4.1
通讯作者:
Chen, J. S.
Chen, J. S.
中科院分区:
工程技术2区
文献类型:
--
作者:
Bazilevs, Y.;Moutsanidis, G.;Chen, J. S.

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在这篇由两部分组成的论文中,我们开始开发一类新的方法来模拟空气喷射的流固耦合 (FSI) 现象。我们的目标是开发准确、稳健且实用的计算方法,该方法能够对空气爆炸的动力学与结构响应相结合进行建模,其中后者涉及大的非弹性变形和分解成碎片。采用浸入式方法,这导致了先验整体式 FSI 公式,具有固体物体之间的固有接触检测,并且对固体运动没有正式限制。在本文的第一部分中,介绍了适用于各种离散化的核心鼓风 FSI 方法,并使用标准有限元进行了测试。本文的第二部分重点介绍所提出框架的特定实例,该框架将基于非均匀有理 B 样条的等几何分析 (IGA) 与再生核粒子方法 (RKPM)(一种无网格技术)相结合。由于两种离散化的高阶精度和平滑性以及 RKPM 在处理碎片场景中的相对简单性,IGA 和 RKPM 的组合对于感兴趣的问题类别特别有吸引力。每个部分都提供了一组主要为 2D 的数值示例,以说明所提出的空气喷射 FSI 框架的良好性能。
In this two-part paper we begin the development of a new class of methods for modeling fluid-structure interaction (FSI) phenomena for air blast. We aim to develop accurate, robust, and practical computational methodology, which is capable of modeling the dynamics of air blast coupled with the structure response, where the latter involves large, inelastic deformations and disintegration into fragments. An immersed approach is adopted, which leads to an a-priori monolithic FSI formulation with intrinsic contact detection between solid objects, and without formal restrictions on the solid motions. In Part I of this paper, the core air-blast FSI methodology suitable for a variety of discretizations is presented and tested using standard finite elements. Part II of this paper focuses on a particular instantiation of the proposed framework, which couples isogeometric analysis (IGA) based on non-uniform rational B-splines and a reproducing-kernel particle method (RKPM), which is a meshfree technique. The combination of IGA and RKPM is felt to be particularly attractive for the problem class of interest due to the higher-order accuracy and smoothness of both discretizations, and relative simplicity of RKPM in handling fragmentation scenarios. A collection of mostly 2D numerical examples is presented in each of the parts to illustrate the good performance of the proposed air-blast FSI framework.