A Navier-Stokes-Peridynamics hybrid algorithm for the coupling of compressible flows and fracturing materials

Fuente: arXiv
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Autori principali: Han, Mingshuo, Hu, Shiwei, Xiao, Tianbai, Zhang, Yonghao
Natura: Preprint
Pubblicazione: 2025
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author Han, Mingshuo
Hu, Shiwei
Xiao, Tianbai
Zhang, Yonghao
author_facet Han, Mingshuo
Hu, Shiwei
Xiao, Tianbai
Zhang, Yonghao
contents Modeling and simulation of fluid-structure interactions are crucial to the success of aerospace engineering. This work addresses a novel hybrid algorithm that models the close coupling between compressible flows and deformable materials using a mesoscopic approach. Specifically, the high-speed flows are described by the gas-kinetic scheme, which is a robust Navier-Stokes alternative solver built on the molecular kinetic theory. The deformation, damage, and fracture of materials are depicted using the bond-based peridynamics, which serves as coarse-grained molecular dynamics to construct non-local extensions of classical continuum mechanics. The evolution of fluids and materials are closely coupled using the ghost-cell immersed boundary method. Within each time step, the solutions of flow and solid fields are updated simultaneously, and physics-driven boundary conditions are exchanged for each other via ghost cells. Extensive numerical experiments, including crack propagation in a pre-cracked plate, subsonic flow around the NACA0012 airfoil, supersonic flow around the circular cylinder, and shock wave impacting on the elastic panel, are performed to validate the algorithm. The simulation results demonstrate the unique advantages of current hybrid algorithm in solving fracture propagation induced by high-speed flows.
format Preprint
id arxiv_https___arxiv_org_abs_2504_11006
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Navier-Stokes-Peridynamics hybrid algorithm for the coupling of compressible flows and fracturing materials
Han, Mingshuo
Hu, Shiwei
Xiao, Tianbai
Zhang, Yonghao
Computational Physics
Modeling and simulation of fluid-structure interactions are crucial to the success of aerospace engineering. This work addresses a novel hybrid algorithm that models the close coupling between compressible flows and deformable materials using a mesoscopic approach. Specifically, the high-speed flows are described by the gas-kinetic scheme, which is a robust Navier-Stokes alternative solver built on the molecular kinetic theory. The deformation, damage, and fracture of materials are depicted using the bond-based peridynamics, which serves as coarse-grained molecular dynamics to construct non-local extensions of classical continuum mechanics. The evolution of fluids and materials are closely coupled using the ghost-cell immersed boundary method. Within each time step, the solutions of flow and solid fields are updated simultaneously, and physics-driven boundary conditions are exchanged for each other via ghost cells. Extensive numerical experiments, including crack propagation in a pre-cracked plate, subsonic flow around the NACA0012 airfoil, supersonic flow around the circular cylinder, and shock wave impacting on the elastic panel, are performed to validate the algorithm. The simulation results demonstrate the unique advantages of current hybrid algorithm in solving fracture propagation induced by high-speed flows.
title A Navier-Stokes-Peridynamics hybrid algorithm for the coupling of compressible flows and fracturing materials
topic Computational Physics
url https://arxiv.org/abs/2504.11006