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An Updated Lagrangian Particle Hydrodynamics (ULPH)-NOSBPD Coupling Approach for Modeling Fluid-Structure Interaction Problem

Zhen Wang1, Junsong Xiong1, Shaofan Li2, Xin Lai1,3,*, Xiang Liu3, Lisheng Liu1,*
1 Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics, Wuhan University of Technology, Wuhan, 430070, China
2 Department of Civil and Environmental Engineering, The University of California, Berkeley, CA 94720, USA
3 Department of Engineering Structure and Mechanics, Wuhan University of Technology, Wuhan, 430070, China
* Corresponding Author: Xin Lai. Email: email; Lisheng Liu. Email: email
(This article belongs to the Special Issue: Peridynamic Theory and Multi-physical/Multiscale Methods for Complex Material Behavior)

Computer Modeling in Engineering & Sciences https://doi.org/10.32604/cmes.2024.052923

Received 19 April 2024; Accepted 24 June 2024; Published online 23 July 2024

Abstract

A fluid-structure interaction approach is proposed in this paper based on Non-Ordinary State-Based Peridynamics (NOSB-PD) and Updated Lagrangian Particle Hydrodynamics (ULPH) to simulate the fluid-structure interaction problem with large geometric deformation and material failure and solve the fluid-structure interaction problem of Newtonian fluid. In the coupled framework, the NOSB-PD theory describes the deformation and fracture of the solid material structure. ULPH is applied to describe the flow of Newtonian fluids due to its advantages in computational accuracy. The framework utilizes the advantages of NOSB-PD theory for solving discontinuous problems and ULPH theory for solving fluid problems, with good computational stability and robustness. A fluid-structure coupling algorithm using pressure as the transmission medium is established to deal with the fluid-structure interface. The dynamic model of solid structure and the PD-ULPH fluid-structure interaction model involving large deformation are verified by numerical simulations. The results agree with the analytical solution, the available experimental data, and other numerical results. Thus, the accuracy and effectiveness of the proposed method in solving the fluid-structure interaction problem are demonstrated. The fluid-structure interaction model based on ULPH and NOSB-PD established in this paper provides a new idea for the numerical solution of fluid-structure interaction and a promising approach for engineering design and experimental prediction.

Keywords

Fluid-structure interaction (FSI); updated lagrangian particle hydrodynamics; peridynamics; meshfree method
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