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Main Authors: Zhang, Bo, Zhu, Jianfeng, Hu, Xiangyu
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.11292
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author Zhang, Bo
Zhu, Jianfeng
Hu, Xiangyu
author_facet Zhang, Bo
Zhu, Jianfeng
Hu, Xiangyu
contents As a mesh-free method, smoothed particle hydrodynamics (SPH) has been widely used for modeling and simulating fluid-structure interaction (FSI) problems. While the kernel gradient correction (KGC) method is commonly applied in structural domains to enhance numerical consistency, high-order consistency corrections that preserve conservation remain underutilized in fluid domains despite their critical role in FSI analysis, especially for the multi-resolution scheme where fluid domains generally have a low resolution. In this study, we incorporate the reverse kernel gradient correction (RKGC) formulation, a conservative high-order consistency approximation, into the fluid discretization for solving FSI problems. RKGC has been proven to achieve exact second-order convergence with relaxed particles and improve numerical accuracy while particularly enhancing energy conservation in free-surface flow simulations. By integrating this correction into the Riemann SPH method to solve different typical FSI problems with a multi-resolution scheme, numerical results consistently show improvements in accuracy and convergence compared to uncorrected fluid discretization. Despite these advances, further refinement of correction techniques for solid domains and fluid-structure interfaces remains significant for enhancing the overall accuracy of SPH-based FSI modeling and simulation.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11292
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Corrected Riemann smoothed particle hydrodynamics method for multi-resolution fluid-structure interaction
Zhang, Bo
Zhu, Jianfeng
Hu, Xiangyu
Computational Engineering, Finance, and Science
As a mesh-free method, smoothed particle hydrodynamics (SPH) has been widely used for modeling and simulating fluid-structure interaction (FSI) problems. While the kernel gradient correction (KGC) method is commonly applied in structural domains to enhance numerical consistency, high-order consistency corrections that preserve conservation remain underutilized in fluid domains despite their critical role in FSI analysis, especially for the multi-resolution scheme where fluid domains generally have a low resolution. In this study, we incorporate the reverse kernel gradient correction (RKGC) formulation, a conservative high-order consistency approximation, into the fluid discretization for solving FSI problems. RKGC has been proven to achieve exact second-order convergence with relaxed particles and improve numerical accuracy while particularly enhancing energy conservation in free-surface flow simulations. By integrating this correction into the Riemann SPH method to solve different typical FSI problems with a multi-resolution scheme, numerical results consistently show improvements in accuracy and convergence compared to uncorrected fluid discretization. Despite these advances, further refinement of correction techniques for solid domains and fluid-structure interfaces remains significant for enhancing the overall accuracy of SPH-based FSI modeling and simulation.
title Corrected Riemann smoothed particle hydrodynamics method for multi-resolution fluid-structure interaction
topic Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2503.11292