A comprehensive numerical study on the current-induced fluid–structure interaction of flexible submerged vegetation DOI Creative Commons
Inga Prüter, Felix Spröer, Kara Keimer

et al.

Journal of Fluids and Structures, Journal Year: 2024, Volume and Issue: 133, P. 104232 - 104232

Published: Dec. 5, 2024

Language: Английский

Design and Analysis of Solid and Thin‐Walled Slender Structures Using Soft Materials Based on Beam Finite Elements DOI Open Access

K Sudha

The Structural Design of Tall and Special Buildings, Journal Year: 2025, Volume and Issue: 34(2)

Published: Feb. 7, 2025

ABSTRACT This study investigates the design and analysis of solid thin‐walled slender structures made hyperelastic soft materials using high‐order beam finite elements integrated into Carrera unified formulation (CUF) framework. The primary aim is to evaluate load‐bearing capacity deflection characteristics these through element (FEA). Numerical results indicate that experimental load reached up 19,000 kN, while FEA simulations reported a 15,000 kN. Midspan measurements showed values peaking at 5000 mm, compared 4200 mm in results. average ratio numerical ( M test / ) across various specimens was 0.943 with standard deviation 0.11, suggesting strong agreement between analyses. These findings validate effectiveness for modeling behavior material structures, thus contributing advancements structural engineering.

Language: Английский

Citations

0

An approximate block factorization preconditioner for mixed-dimensional beam-solid interaction DOI Creative Commons
Max Firmbach, Ivo Steinbrecher, Alexander Popp

et al.

Computer Methods in Applied Mechanics and Engineering, Journal Year: 2024, Volume and Issue: 431, P. 117256 - 117256

Published: July 30, 2024

This paper presents a scalable approximate block factorization preconditioner for mixed-dimensional models in beam-solid interaction and their application engineering. In particular, it studies the linear systems arising from regularized mortar-type approach embedding geometrically exact beams into solid continua. Due to lack of diagonal dominance 2 × system, an Block-LU is used. It exploits sparsity structure beam sub-block construct sparse inverse, which then not only used explicitly form approximation Schur complement, but also acts as smoother within prediction correction step preconditioner. The complement equation tackled with algebraic multigrid method. Although, now, by one-level method only, multi-level nature computationally demanding delivers practice. numerical test cases, influence different algorithmic parameters on quality inverse studied weak scaling behavior proposed up 1000 MPI ranks demonstrated. addition, robustness regarding material geometric properties shown, before finally applied analysis steel-reinforced concrete structures civil

Language: Английский

Citations

2

Weak Galerkin method for the Navier-Stokes equation with nonlinear damping term DOI Open Access

Yue Tai,

Xiuli Wang, Weishi Yin

et al.

Networks and Heterogeneous Media, Journal Year: 2024, Volume and Issue: 19(2), P. 475 - 499

Published: Jan. 1, 2024

<abstract><p>The primary focus of this research was to investigate the weak Galerkin (WG) finite element method for Navier-Stokes equations with damping. We established numerical scheme and demonstrated existence uniqueness solution. Additionally, optimal errors estimates velocity pressure were obtained. Eventually, numerous examples reported validate theoretical analysis.</p></abstract>

Language: Английский

Citations

1

Mathematical and Numerical Analysis of Reduced Order Interface Conditions and Augmented Finite Elements for Mixed Dimensional Problems DOI
Muriel Boulakia,

Céline Grandmont,

Fabien Lespagnol

et al.

Published: Jan. 1, 2024

In this paper, we are interested in the mathematical properties of methods based on a fictitious domain approach combined with reduced-order interface coupling conditions, which have been recently introduced to simulate 3D-1D fluid-structure or structure-structure coupled problems. To give insights approximation these methods, investigate them simplified setting by considering Poisson problem two-dimensional non-homogeneous Dirichlet boundary conditions small inclusions. The approximated reduced is obtained using projection Fourier finite-dimensional space Lagrange multiplier associated constraints, obtaining way defective conditions. After analyzing existence solution problem, prove its convergence towards original full when size holes tends zero, rate depends number modes space. particular, our estimates highlight fact that obtain good multiplier, one needs consider more than first mode (constant mode). This key issue wants deal real problems, such as problems for instance. Next, numerical discretization finite element method analyzed case where computational mesh does not fit inclusion interface. As standard types optimal due lack regularity solution. Moreover, exhibits well-known locking effect and same order magnitude. apparent increasing affects heavily. resolve issues, propose analyze stabilized an enriched additional basis functions added without changing multiplier. Finally, strategies illustrated experiments.

Language: Английский

Citations

1

Surface Structured Quadrilateral Mesh Generation Based on Topology Consistent‐Preserved Patch Segmentation DOI Open Access
Haoxuan Zhang, Haisheng Li, Xiaoqun Wu

et al.

International Journal for Numerical Methods in Engineering, Journal Year: 2024, Volume and Issue: 126(1)

Published: Dec. 25, 2024

ABSTRACT Surface‐structured mesh generation is an important part of the Computational Fluid Dynamics (CFD) preprocessing stage. The traditional method cannot automatically divide 3D surface topology in complex structures. Thus, we propose a surface‐structured quadrilateral based on topology‐consistent‐preserved patch segmentation. core idea to segment model into several simple parts according quality and map each 2D parametric domain conformal parameterization method. Then, utilize pattern‐based partitioning multiple subdomains, facilitating structured meshes. By using inverse mapping algorithm barycentric weights, generated inversely mapped back space. Finally, splice accurately distribution. Experimental results show that our proposed can generate higher‐quality meshes than previous methods without losing original model.

Language: Английский

Citations

1

Mathematical and numerical analysis of reduced order interface conditions and augmented finite elements for mixed dimensional problems DOI Creative Commons
Muriel Boulakia,

Céline Grandmont,

Fabien Lespagnol

et al.

Computers & Mathematics with Applications, Journal Year: 2024, Volume and Issue: 175, P. 536 - 569

Published: Oct. 31, 2024

Language: Английский

Citations

0

A comprehensive numerical study on the current-induced fluid–structure interaction of flexible submerged vegetation DOI Creative Commons
Inga Prüter, Felix Spröer, Kara Keimer

et al.

Journal of Fluids and Structures, Journal Year: 2024, Volume and Issue: 133, P. 104232 - 104232

Published: Dec. 5, 2024

Language: Английский

Citations

0