基于浸没法的IGA与周波耦合的气固耦合流固耦合研究
Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach
摘要:
本文提出了一种基于等几何分析(IGA)和周向动力学(PD)耦合的新方法,用于模拟空气爆炸的流固耦合现象。我们的目标是开发一个实用的计算框架,能够捕获的力学耦合到固体和结构,经历大,非弹性变形与极端的损害和碎片的空气爆炸。浸没的技术,它涉及一个先验的整体FSI制定与隐式检测的流体-结构界面和没有限制的固体域运动。在背景网格上求解流体和结构力学方程的耦合弱形式。基于对应的PD用于在前景域中对无网格实体进行建模。我们采用非均匀有理B样条(NURBS)的IGA函数在后台和再生核粒子方法(RKPM)的功能的PD固体在前景。我们认为,这些数值工具的组合是特别有吸引力的问题类的兴趣,由于高阶精度和平滑的IGA和RKPM,使用沉浸式的方法在处理的流体-结构耦合的好处,和能力的PD在模拟断裂和破碎的情况。数值例子来说明所提出的空气爆炸流固耦合框架的性能。
英文摘要:
We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena for air blast. We aim to develop a practical computational framework that is capable of capturing the mechanics of air blast coupled to solids and structures that undergo large, inelastic deformations with extreme damage and fragmentation. An immersed technique is used, which involves an a priori monolithic FSI formulation with the implicit detection of the fluid-structure interface and without limitations on the solid domain motion. The coupled weak forms of the fluid and structural mechanics equations are solved on the background mesh. Correspondence-based PD is used to model the meshfree solid in the foreground domain. We employ the Non-Uniform Rational B-Splines (NURBS) IGA functions in the background and the Reproducing Kernel Particle Method (RKPM) functions for the PD solid in the foreground. We feel that the combination of these numerical tools is particularly attractive for the problem class of interest due to the higher-order accuracy and smoothness of IGA and RKPM, the benefits of using immersed methodology in handling the fluid-structure coupling, and the capabilities of PD in simulating fracture and fragmentation scenarios. Numerical examples are provided to illustrate the performance of the proposed air-blast FSI framework.
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