Modeling Concept and Numerical Simulation of Ultrasonic Wave Propagation in a Moving Fluid-Structure Domain based on a Monolithic Approach

Mahmood Ebna Hai, Bhuiyan Shameem; Bause, Markus; Kuberry, Paul Allen

doi:10.1016/j.apm.2019.07.007

Title: Modeling Concept and Numerical Simulation of Ultrasonic Wave Propagation in a Moving Fluid-Structure Domain based on a Monolithic Approach

Abstract

Here in the present study, we propose a novel multiphysics model that merges two time-dependent problems – the Fluid-Structure Interaction (FSI) and the ultrasonic wave propagation in a fluid-structure domain with a one directional coupling from the FSI problem to the ultrasonic wave propagation problem. This model is referred to as the “eXtended fluid-structure interaction (eXFSI)” problem. This model comprises isothermal, incompressible Navier-Stokes equations with nonlinear elastodynamics using the Saint-Venant Kirchhoff solid model. The ultrasonic wave propagation problem comprises monolithically coupled acoustic and elastic wave equations. To ensure that the fluid and structure domains are conforming, we use the ALE technique. The solution principle for the coupled problem is to first solve the FSI problem and then to solve the wave propagation problem. Accordingly, the boundary conditions for the wave propagation problem are automatically adopted from the FSI problem at each time step. The overall problem is highly nonlinear, which is tackled via a Newton-like method. The model is verified using several alternative domain configurations. To ensure the credibility of the modeling approach, the numerical solution is contrasted against experimental data.

Authors:

^[1]; Bause, Markus ^[1];

^[2]

Helmut Schmidt Univ., Hamburg (Germany). Chair of Numerical Mathematics, Faculty of Mechanical Engineering
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research

Publication Date:: Mon Jul 08 00:00:00 EDT 2019

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

OSTI Identifier:: 1542140

Report Number(s):: SAND-2019-7671J
Journal ID: ISSN 0307-904X; 677115

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: Applied Mathematical Modelling

Additional Journal Information:: Journal Volume: 75; Journal Issue: C; Journal ID: ISSN 0307-904X

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING; Multiphysics; Coupled problem; Fluid-structure interaction; Ultrasonic wave propagation; Galerkin finite element method; Structural health monitoring system; Arbitrary Lagrangian-Eulerian technique

Citation Formats


                    Mahmood Ebna Hai, Bhuiyan Shameem, Bause, Markus, and Kuberry, Paul Allen. Modeling Concept and Numerical Simulation of Ultrasonic Wave Propagation in a Moving Fluid-Structure Domain based on a Monolithic Approach.  United States: N. p., 2019. 
Web.  doi:10.1016/j.apm.2019.07.007.

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                    Mahmood Ebna Hai, Bhuiyan Shameem, Bause, Markus, & Kuberry, Paul Allen. Modeling Concept and Numerical Simulation of Ultrasonic Wave Propagation in a Moving Fluid-Structure Domain based on a Monolithic Approach.  United States.  https://doi.org/10.1016/j.apm.2019.07.007

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                    Mahmood Ebna Hai, Bhuiyan Shameem, Bause, Markus, and Kuberry, Paul Allen. Mon .  
"Modeling Concept and Numerical Simulation of Ultrasonic Wave Propagation in a Moving Fluid-Structure Domain based on a Monolithic Approach".  United States.  https://doi.org/10.1016/j.apm.2019.07.007.  https://www.osti.gov/servlets/purl/1542140.

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@article{osti_1542140,

  title        = {Modeling Concept and Numerical Simulation of Ultrasonic Wave Propagation in a Moving Fluid-Structure Domain based on a Monolithic Approach},

  author       = {Mahmood Ebna Hai, Bhuiyan Shameem and Bause, Markus and Kuberry, Paul Allen},

  abstractNote = {Here in the present study, we propose a novel multiphysics model that merges two time-dependent problems – the Fluid-Structure Interaction (FSI) and the ultrasonic wave propagation in a fluid-structure domain with a one directional coupling from the FSI problem to the ultrasonic wave propagation problem. This model is referred to as the “eXtended fluid-structure interaction (eXFSI)” problem. This model comprises isothermal, incompressible Navier-Stokes equations with nonlinear elastodynamics using the Saint-Venant Kirchhoff solid model. The ultrasonic wave propagation problem comprises monolithically coupled acoustic and elastic wave equations. To ensure that the fluid and structure domains are conforming, we use the ALE technique. The solution principle for the coupled problem is to first solve the FSI problem and then to solve the wave propagation problem. Accordingly, the boundary conditions for the wave propagation problem are automatically adopted from the FSI problem at each time step. The overall problem is highly nonlinear, which is tackled via a Newton-like method. The model is verified using several alternative domain configurations. To ensure the credibility of the modeling approach, the numerical solution is contrasted against experimental data.},

  doi          = {10.1016/j.apm.2019.07.007},

  journal      = {Applied Mathematical Modelling},

  number       = C,

  volume       = 75,

  place        = {United States},

  year         = {Mon Jul 08 00:00:00 EDT 2019},

  month        = {Mon Jul 08 00:00:00 EDT 2019}

}

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Figure 1: The eXtended Fluid-Structure Interaction (eXFSI) problem.

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