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An arbitrary Lagrangian–Eulerian method for fluid–structure interactions due to underwater explosions

Rainald Löhner (CFD Center, MS 6A2, George Mason University, Fairfax, Virginia, USA)
Lingquan Li (CFD Center, MS 6A2, George Mason University, Fairfax, Virginia, USA)
Orlando Antonio Soto (Applied Simulations Inc, McLean, Virginia, USA)
Joseph David Baum (Applied Simulations Inc, McLean, Virginia, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 10 March 2023

Issue publication date: 4 May 2023

221

Abstract

Purpose

This study aims to evaluate blast loads on and the response of submerged structures.

Design/methodology/approach

An arbitrary Lagrangian–Eulerian method is developed to model fluid–structure interaction (FSI) problems of close-in underwater explosions (UNDEX). The “fluid” part provides the loads for the structure considers air, water and high explosive materials. The spatial discretization for the fluid domain is performed with a second-order vertex-based finite volume scheme with a tangent of hyperbola interface capturing technique. The temporal discretization is based on explicit Runge–Kutta methods. The structure is described by a large-deformation Lagrangian formulation and discretized via finite elements. First, one-dimensional test cases are given to show that the numerical method is free of mesh movement effects. Thereafter, three-dimensional FSI problems of close-in UNDEX are studied. Finally, the computation of UNDEX near a ship compartment is performed.

Findings

The difference in the flow mechanisms between rigid targets and deforming targets is quantified and evaluated.

Research limitations/implications

Cavitation is modeled only approximately and may require further refinement/modeling.

Practical implications

The results demonstrate that the proposed numerical method is accurate, robust and versatile for practical use.

Social implications

Better design of naval infrastructure [such as bridges, ports, etc.].

Originality/value

To the best of the authors’ knowledge, this study has been conducted for the first time.

Keywords

Acknowledgements

This work has been funded by the Defense Threat Reduction Agency, an agency within the United States Department of Defense (DoD), for the project of Complex Multiphysics on Future Exascale Systems, with the contract number of HDTRA1-15-1-0068.

Citation

Löhner, R., Li, L., Soto, O.A. and Baum, J.D. (2023), "An arbitrary Lagrangian–Eulerian method for fluid–structure interactions due to underwater explosions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 6, pp. 2308-2349. https://doi.org/10.1108/HFF-08-2022-0502

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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