Fluid-elastic structure interaction simulation by using ordinary state-based peridynamics and peridynamic differential operator

Abstract

The fluid-structure interaction phenomenon is often encountered in the ocean engineering field.In the present work, a non-local numerical model is developed for the simulations of weakly compressible viscous fluid and elastic structure interactions. The peridynamic theory is adopted for both the structure and fluid modelling. The elastic structure is described by using the ordinary state-based peridynamics, while the fluid is modelled by utilizing the peridynamic differential operator. Furthermore, the updated Lagrangian description is adopted for the fluid including the relative deformation gradient expressed by the peridynamic differential operator.The fluid-structure interface and its normal direction are calculated via the gradient of a colour function, which varies with the fluid motion and structure deformation. Besides, the interaction force exerted from fluid to structure is constrained to be always perpendicular to the moving interface. Hence the fluid motion and structural deformation are predicted simultaneously. The validation of the developed model is conducted through the simulation of a water dam break with a rubber gate. The good agreement between the peridynamic and the experiment results demonstrates the capability of the current model for solving fluid-elastic structure interaction problems.

On approximation theory of nonlocal differential operators

“…13 Yan et al 21,22 further developed a higher order nonlocal operators for the updated Lagrangian particle hydrodynamics and used them to study and simulate multiphase fluid flow problems. Gao and Oterkus 23 developed a nonlocal computational model to study the fluid-structure interaction problem where the fluid is considered to be viscous and weakly compressible and modeled by the PDDO, while the structure is elastic and modeled by the ordinary state-based peridynamics.…”

Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach

“…PD has been extensively applied to simulate crack growth in a wide range of materials and structures under different loading conditions [12][13][14][15][16][17][18][19][20][21][22][23][24][25]. A limited number of PD formulations for FSI phenomena may be found in the literature, e.g., hydraulic fracturing [26][27][28], ice-water interaction [29], ice-structure interaction [30,31], and fluidelastic structure interaction [32,33]. In our proposed FSI methodology, a stable correspondence-based PD formulation [34] is utilized, which enables direct use of classical continuum material and damage models.…”

Numerical study on dynamic icebreaking process of an icebreaker by ordinary state-based peridynamics and continuous contact detection algorithm

“…Moreover, PD can also be applied to subjects other than fracture mechanics (Javili et al, 2019). Many updated mathematical models based on PD theory have been developed over the years: dual-horizon PD was proposed to solve the issue of spurious wave reflections when variable horizons are adopted (Ren et al, 2017); Dual-support SPH was developed in solid within the framework of variational principle (Ren et al, 2019); the PD differential operator provided a differential form for numerical analysis (Gao and Oterkus, 2020); as well as the combination of PD and FEM model (Madenci et al, 2018) and PD least squares minimization (Madenci et al, 2019). Recently, PD was applied to predict ice-structure interaction for a simple structure interaction with ice (Liu et al, 2017;Lu et al, 2018), which showed PD's potential to study ice fracture.…”