# Partitioned Coupling for Structural Acoustics

## Abstract

Here, we expand the second-order fluid–structure coupling scheme of Farhat et al. (1998, “Load and Motion Transfer Algorithms for 19 Fluid/Structure Interaction Problems With Non-Matching Discrete Interfaces: Momentum and Energy Conservation, Optimal Discretization and Application to Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 157(1–2), pp. 95–114; 2006, “Provably Second-Order Time-Accurate Loosely-Coupled Solution Algorithms for Transient Nonlinear Computational Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 195(17), pp. 1973–2001) to structural acoustics. The staggered structural acoustics solution method is demonstrated to be second-order accurate in time, and numerical results are compared to a monolithically coupled system. The partitioned coupling method is implemented in the Sierra Mechanics software suite, allowing for the loose coupling of time domain acoustics in `SIERRA/SD` to structural dynamics ( `SIERRA/SD`) or solid mechanics ( `SIERRA/SD`). The coupling is demonstrated to work for nonconforming meshes. Results are verified for a one-dimensional piston, and the staggered and monolithic results are compared to an exact solution. Huang, H. (1969, “Transient Interaction of Plane Acoustic Waves With a Spherical Elastic Shell,” J. Acoust. Soc. Am., 45(3), pp. 661–670) sphere scattering problem with a spherically spreading acoustic load demonstrates parallel capability on a complex problem. Our numerical results compare well for a bronze plate submergedmore »

- Authors:

- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Computational Solid Mechanics and Structural Dynamics

- Publication Date:

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

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1575265

- Alternate Identifier(s):
- OSTI ID: 1574491

- Report Number(s):
- SAND2019-12871J; SAND-2019-5081J

Journal ID: ISSN 1048-9002; 680686

- Grant/Contract Number:
- AC04-94AL85000; NA0003525

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of Vibration and Acoustics

- Additional Journal Information:
- Journal Volume: 142; Journal Issue: 1; Journal ID: ISSN 1048-9002

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 42 ENGINEERING; aeroelasticity; dynamics; structural acoustics

### Citation Formats

```
Bunting, Gregory, and Miller, Scott T. Partitioned Coupling for Structural Acoustics. United States: N. p., 2019.
Web. doi:10.1115/1.4045215.
```

```
Bunting, Gregory, & Miller, Scott T. Partitioned Coupling for Structural Acoustics. United States. doi:10.1115/1.4045215.
```

```
Bunting, Gregory, and Miller, Scott T. Mon .
"Partitioned Coupling for Structural Acoustics". United States. doi:10.1115/1.4045215. https://www.osti.gov/servlets/purl/1575265.
```

```
@article{osti_1575265,
```

title = {Partitioned Coupling for Structural Acoustics},

author = {Bunting, Gregory and Miller, Scott T.},

abstractNote = {Here, we expand the second-order fluid–structure coupling scheme of Farhat et al. (1998, “Load and Motion Transfer Algorithms for 19 Fluid/Structure Interaction Problems With Non-Matching Discrete Interfaces: Momentum and Energy Conservation, Optimal Discretization and Application to Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 157(1–2), pp. 95–114; 2006, “Provably Second-Order Time-Accurate Loosely-Coupled Solution Algorithms for Transient Nonlinear Computational Aeroelasticity,” Comput. Methods Appl. Mech. Eng., 195(17), pp. 1973–2001) to structural acoustics. The staggered structural acoustics solution method is demonstrated to be second-order accurate in time, and numerical results are compared to a monolithically coupled system. The partitioned coupling method is implemented in the Sierra Mechanics software suite, allowing for the loose coupling of time domain acoustics in SIERRA/SD to structural dynamics (SIERRA/SD) or solid mechanics (SIERRA/SD). The coupling is demonstrated to work for nonconforming meshes. Results are verified for a one-dimensional piston, and the staggered and monolithic results are compared to an exact solution. Huang, H. (1969, “Transient Interaction of Plane Acoustic Waves With a Spherical Elastic Shell,” J. Acoust. Soc. Am., 45(3), pp. 661–670) sphere scattering problem with a spherically spreading acoustic load demonstrates parallel capability on a complex problem. Our numerical results compare well for a bronze plate submerged in water and sinusoidally excited (Fahnline and Shepherd, 2017, “Transient Finite Element/Equivalent Sources Using Direct Coupling and Treating the Acoustic Coupling Matrix as Sparse,” J. Acoust. Soc. Am., 142(2), pp. 1011–1024).},

doi = {10.1115/1.4045215},

journal = {Journal of Vibration and Acoustics},

number = 1,

volume = 142,

place = {United States},

year = {2019},

month = {11}

}