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Title: An immersed boundary method for fluid–structure interaction with compressible multiphase flows

Abstract

This paper presents a two-dimensional immersed boundary method for fluid–structure interaction with compressible multiphase flows involving large structure deformations. This method involves three important parts: flow solver, structure solver and fluid–structure interaction coupling. In the flow solver, the compressible multiphase Navier–Stokes equations for ideal gases are solved by a finite difference method based on a staggered Cartesian mesh, where a fifth-order accuracy Weighted Essentially Non-Oscillation (WENO) scheme is used to handle spatial discretization of the convective term, a fourth-order central difference scheme is employed to discretize the viscous term, the third-order TVD Runge–Kutta scheme is used to discretize the temporal term, and the level-set method is adopted to capture the multi-material interface. In this work, the structure considered is a geometrically non-linear beam which is solved by using a finite element method based on the absolute nodal coordinate formulation (ANCF). The fluid dynamics and the structure motion are coupled in a partitioned iterative manner with a feedback penalty immersed boundary method where the flow dynamics is defined on a fixed Lagrangian grid and the structure dynamics is described on a global coordinate. We perform several validation cases (including fluid over a cylinder, structure dynamics, flow induced vibration of a flexiblemore » plate, deformation of a flexible panel induced by shock waves in a shock tube, an inclined flexible plate in a hypersonic flow, and shock-induced collapse of a cylindrical helium cavity in the air), and compare the results with experimental and other numerical data. The present results agree well with the published data and the current experiment. Finally, we further demonstrate the versatility of the present method by applying it to a flexible plate interacting with multiphase flows.« less

Authors:
 [1];  [2];  [1]; ;  [2];  [2]
  1. School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081 (China)
  2. School of Engineering and Information Technology, University of New South Wales, Canberra ACT, 2600 (Australia)
Publication Date:
OSTI Identifier:
22701603
Resource Type:
Journal Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 346; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPRESSIBLE FLOW; CYLINDRICAL CONFIGURATION; EXPERIMENTAL DATA; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FLUID MECHANICS; FLUID-STRUCTURE INTERACTIONS; HYPERSONIC FLOW; LAGRANGIAN FUNCTION; MULTIPHASE FLOW; NAVIER-STOKES EQUATIONS; NONLINEAR PROBLEMS; PLATES; SHOCK WAVES; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Wang, Li, School of Engineering and Information Technology, University of New South Wales, Canberra ACT, 2600, Currao, Gaetano M.D., Han, Feng, Neely, Andrew J., Young, John, and Tian, Fang-Bao. An immersed boundary method for fluid–structure interaction with compressible multiphase flows. United States: N. p., 2017. Web. doi:10.1016/J.JCP.2017.06.008.
Wang, Li, School of Engineering and Information Technology, University of New South Wales, Canberra ACT, 2600, Currao, Gaetano M.D., Han, Feng, Neely, Andrew J., Young, John, & Tian, Fang-Bao. An immersed boundary method for fluid–structure interaction with compressible multiphase flows. United States. https://doi.org/10.1016/J.JCP.2017.06.008
Wang, Li, School of Engineering and Information Technology, University of New South Wales, Canberra ACT, 2600, Currao, Gaetano M.D., Han, Feng, Neely, Andrew J., Young, John, and Tian, Fang-Bao. Sun . "An immersed boundary method for fluid–structure interaction with compressible multiphase flows". United States. https://doi.org/10.1016/J.JCP.2017.06.008.
@article{osti_22701603,
title = {An immersed boundary method for fluid–structure interaction with compressible multiphase flows},
author = {Wang, Li and School of Engineering and Information Technology, University of New South Wales, Canberra ACT, 2600 and Currao, Gaetano M.D. and Han, Feng and Neely, Andrew J. and Young, John and Tian, Fang-Bao},
abstractNote = {This paper presents a two-dimensional immersed boundary method for fluid–structure interaction with compressible multiphase flows involving large structure deformations. This method involves three important parts: flow solver, structure solver and fluid–structure interaction coupling. In the flow solver, the compressible multiphase Navier–Stokes equations for ideal gases are solved by a finite difference method based on a staggered Cartesian mesh, where a fifth-order accuracy Weighted Essentially Non-Oscillation (WENO) scheme is used to handle spatial discretization of the convective term, a fourth-order central difference scheme is employed to discretize the viscous term, the third-order TVD Runge–Kutta scheme is used to discretize the temporal term, and the level-set method is adopted to capture the multi-material interface. In this work, the structure considered is a geometrically non-linear beam which is solved by using a finite element method based on the absolute nodal coordinate formulation (ANCF). The fluid dynamics and the structure motion are coupled in a partitioned iterative manner with a feedback penalty immersed boundary method where the flow dynamics is defined on a fixed Lagrangian grid and the structure dynamics is described on a global coordinate. We perform several validation cases (including fluid over a cylinder, structure dynamics, flow induced vibration of a flexible plate, deformation of a flexible panel induced by shock waves in a shock tube, an inclined flexible plate in a hypersonic flow, and shock-induced collapse of a cylindrical helium cavity in the air), and compare the results with experimental and other numerical data. The present results agree well with the published data and the current experiment. Finally, we further demonstrate the versatility of the present method by applying it to a flexible plate interacting with multiphase flows.},
doi = {10.1016/J.JCP.2017.06.008},
url = {https://www.osti.gov/biblio/22701603}, journal = {Journal of Computational Physics},
issn = {0021-9991},
number = ,
volume = 346,
place = {United States},
year = {2017},
month = {10}
}