An Improved Formulation for Hybridizable Discontinuous Galerkin FluidStructure Interaction Modeling with Reduced Computational Expense
Abstract
Here, this work presents two computational efficiency improvements for the hybridizable discontinuous Galerkin (HDG) fluidstructure interaction (FSI) model presented by Sheldon et al. A new formulation for the solid is presented that eliminates the global displacement, resulting in the velocity being the only global solid variable. This necessitates a change to the solidmesh displacement coupling, which is accounted for by coupling the local solid displacement to the global mesh displacement. Additionally, the mesh basis and test functions are restricted to linear polynomials, rather than being equalorder with the fluid and solid. This change increases the computational efficiency dynamically, with greater benefit the higher order the computation, when compared to an equalorder formulation. These two improvements result in a 50% reduction in the number of global degrees of freedom for highorder simulations for both the fluid and solid domains, as well as an approximately 50% reduction in the number of local fluid domain degrees of freedom for highorder simulations. Finally, the new, more efficient formulation is compared against that from Sheldon et al. and negligible change of accuracy is found.
 Authors:

 Pennsylvania State Univ., University Park, PA (United States)
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Publication Date:
 Research Org.:
 Sandia National Lab. (SNLNM), Albuquerque, NM (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1497001
 Report Number(s):
 SAND20180096J
Journal ID: ISSN 18152406; 672190
 Grant/Contract Number:
 AC0494AL85000
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Communications in Computational Physics
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 5; Journal ID: ISSN 18152406
 Publisher:
 Global Science Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Sheldon, Jason P., Miller, Scott T., and Pitt, Jonathan S. An Improved Formulation for Hybridizable Discontinuous Galerkin FluidStructure Interaction Modeling with Reduced Computational Expense. United States: N. p., 2018.
Web. doi:10.4208/cicp.OA20170114.
Sheldon, Jason P., Miller, Scott T., & Pitt, Jonathan S. An Improved Formulation for Hybridizable Discontinuous Galerkin FluidStructure Interaction Modeling with Reduced Computational Expense. United States. doi:10.4208/cicp.OA20170114.
Sheldon, Jason P., Miller, Scott T., and Pitt, Jonathan S. Fri .
"An Improved Formulation for Hybridizable Discontinuous Galerkin FluidStructure Interaction Modeling with Reduced Computational Expense". United States. doi:10.4208/cicp.OA20170114. https://www.osti.gov/servlets/purl/1497001.
@article{osti_1497001,
title = {An Improved Formulation for Hybridizable Discontinuous Galerkin FluidStructure Interaction Modeling with Reduced Computational Expense},
author = {Sheldon, Jason P. and Miller, Scott T. and Pitt, Jonathan S.},
abstractNote = {Here, this work presents two computational efficiency improvements for the hybridizable discontinuous Galerkin (HDG) fluidstructure interaction (FSI) model presented by Sheldon et al. A new formulation for the solid is presented that eliminates the global displacement, resulting in the velocity being the only global solid variable. This necessitates a change to the solidmesh displacement coupling, which is accounted for by coupling the local solid displacement to the global mesh displacement. Additionally, the mesh basis and test functions are restricted to linear polynomials, rather than being equalorder with the fluid and solid. This change increases the computational efficiency dynamically, with greater benefit the higher order the computation, when compared to an equalorder formulation. These two improvements result in a 50% reduction in the number of global degrees of freedom for highorder simulations for both the fluid and solid domains, as well as an approximately 50% reduction in the number of local fluid domain degrees of freedom for highorder simulations. Finally, the new, more efficient formulation is compared against that from Sheldon et al. and negligible change of accuracy is found.},
doi = {10.4208/cicp.OA20170114},
journal = {Communications in Computational Physics},
number = 5,
volume = 24,
place = {United States},
year = {2018},
month = {6}
}