Comparative study of application of smoothed point interpolation method in fluid-structure interactions

doi:10.3785/j.issn.1008-973X.2020.08.025

Journal of ZheJiang University (Engineering Science)

2020, Vol. 54

Issue (8): 1645-1654 DOI: 10.3785/j.issn.1008-973X.2020.08.025

Comparative study of application of smoothed point interpolation method in fluid-structure interactions

Shuo HUANG1(

),Shuang-qiang WANG1,Peng WANG1,Gui-yong ZHANG1,2,3,*(

)

1. Liaoning Engineering Laboratory for Deep-Sea Floating Structures, School of Naval Architecture, Dalian University of Technology, Dalian 116024, China
2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
3. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai 200240, China

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Abstract

The traditional finite element method (FEM) suffers the low accuracy problems for low order elements due to the overly stiffness problem in solid model. Thus, the smoothed point interpolation method (S-PIM) was employed. S-PIM has been proved to be able to soften solid stiffness through the gradient smoothing operation, and improve the accuracy of solving solid problems by using the linear background mesh, easily to be meshed. Different solid solvers can be got by different ways of constructing smoothing domains, improving the computational accuracy differently. In the framework of immersed smoothed point interpolation method (IS-PIM), the semi-implicit characteristic-based split (CBS) procedure was used as fluid solver in fluid-structure interactions (FSI) model, the performance of different solid solvers, including FEM, edge-based smoothed point interpolation method (ES-PIM) and the node-based partly smoothed point interpolation method (NPS-PIM), were compared to each other in terms of accuracy and efficiency. Results show that the NPS-PIM can get more accurate stiffness of solid model, and get better results in computational accuracy and computational efficiency comparing with ES-PIM and FEM.

Key words： immersed method fluid-structure interaction finite element method smoothed point interpolation method computational efficiency

Received: 28 April 2019 Published: 28 August 2020

CLC:

O 357.1

Corresponding Authors: Gui-yong ZHANG E-mail: uheverlast@mail.dlut.edu.cn;gyzhang@dlut.edu.cn

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Cite this article:

Shuo HUANG,Shuang-qiang WANG,Peng WANG,Gui-yong ZHANG. Comparative study of application of smoothed point interpolation method in fluid-structure interactions. Journal of ZheJiang University (Engineering Science), 2020, 54(8): 1645-1654.

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http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2020.08.025 OR http://www.zjujournals.com/eng/Y2020/V54/I8/1645

光滑点插值法应用于流固耦合的比较研究

针对传统有限元法（FEM）固体模型刚度过硬导致低阶单元求解精度较低的问题，采用光滑点插值方法（S-PIM）. S-PIM得益于梯度光滑技术能软化固体模型刚度，基于容易剖分的线性背景网格能改善固体求解精度. 采用不同的光滑域构建方式可以得到不同的固体求解器，从而在不同程度上提高计算精度. 本研究以浸没光滑点插值法（IS-PIM）为基础，在流固耦合（FSI）模型中采用较成熟的半隐式特征分离法（CBS）作为流体求解器，分别采用有限元法、边基光滑点插值方法（ES-PIM）以及点基局部光滑点插值方法（NPS-PIM）作为固体求解器，比较不同固体求解器条件下的计算精度和效率. 结果表明，与边基光滑点插值方法和有限元法相比，在流固耦合模型中采用点基局部光滑点插值法可以得到更准确的固体模型刚度，也更有利于计算精度和计算效率的提高.

关键词： 浸没方法, 流固耦合, 有限元法, 光滑点插值方法, 计算效率

Fig.1 Construction of edge-based smoothing domain

Fig.2 Construction of node-based smoothing domain

Fig.3 Construction of node-based partial smoothing domain

Fig.4 Geometry model and meshed model of disk falling

Fig.5 Vertical velocity of point A at different times

Fig.6 Horizontal velocity distribution of fluid at different times

Fig.7 Vertical velocity distribution of fluid at different times

Fig.8 Pressure distribution of fluid at different times

Fig.9 Computational model of elastic beam in a fluid tunnel

Tab.1 Mesh setting for solids of elastic beam in a fluid tunnel

Tab.2 Mesh setting for fluids of elastic beam in a fluid tunnel

Fig.10 Horizontal displacement curves of top point A in different solid solvers

Fig.11 Displacement contours of solids for three different methods

Fig.12 Velocity contours and streamline charts obtained by using different solid solvers

Tab.3 Computational error with fluid mesh MF1

Tab.4 Computational time with fluid mesh MF1

Tab.5 Computational efficiency with fluid mesh MF1

Tab.6 Computational efficiency with fluid mesh MF2

Fig.13 Computational model of a hyper elastic wall problem driven by lid-driven cavity flow

Tab.7 Mesh setting for solids of a hyper elastic wall problem

Tab.8 Computational error with fluid mesh node number of 16641

Tab.9 Computational time with fluid mesh node number of 16641

Tab.10 Computational efficiency with fluid mesh node number of 16641

Fig.14 Horizontal velocity contours and streamline charts obtained by using NPS-PIM as solid solver


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