期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 326, 期 -, 页码 91-114出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2016.08.037
关键词
Hybridizable discontinuous Galerkin; Fluid-structure interaction; HDG FSI; Monolithic coupling; Arbitrary Lagrangian-Eulerian Navier-Stokes; Elastodynamics
资金
- Applied Research Laboratory at The Pennsylvania State University
- Naval Sea Systems Command, Advanced Submarine Systems Development Office [SEA073]
This work presents a novel application of the hybridizable discontinuous Galerkin (HDG) finite element method to the multi-physics simulation of coupled fluid-structure interaction (FSI) problems. Recent applications of the HDG method have primarily been for single-physics problems including both solids and fluids, which are necessary building blocks for FSI modeling. Utilizing these established models, HDG formulations for linear elastostatics, a nonlinear elastodynamic model, and arbitrary Lagrangian-Eulerian Navier-Stokes are derived. The elasticity formulations are written in a Lagrangian reference frame, with the nonlinear formulation restricted to hyperelastic materials. With these individual solid and fluid formulations, the remaining challenge in FSI modeling is coupling together their disparate mathematics on the fluid-solid interface. This coupling is presented, along with the resultant HDG FSI formulation. Verification of the component models, through the method of manufactured solutions, is performed and each model is shown to converge at the expected rate. The individual components, along with the complete FSI model, are then compared to the benchmark problems proposed by Turek and Hron [1]. The solutions from the HDG formulation presented in this work trend towards the benchmark as the spatial polynomial order and the temporal order of integration are increased. (C) 2016 Elsevier Inc. All rights reserved.
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