TY - JOUR
T1 - Modeling and simulations for fluid and rotating structure interactions
AU - Yang, Kai
AU - Sun, Pengtao
AU - Wang, Lu
AU - Xu, Jinchao
AU - Zhang, Lixiang
N1 - Funding Information:
All the authors were partially supported by the Yunnan Provincial Science and Technology Department Research Award: Interdisciplinary Research in Computational Mathematics and Mechanics with Applications in Energy Engineering. J. Xu, L. Wang, and K. Yang were also partially supported by the U.S. Department of Energy , Office of Science , Office of Advanced Scientific Computing Research as part of the Collaboratory on Mathematics for Mesoscopic Modeling of Materials (Contract No. DE-SC0009249 and DE-SC0014400 ), and also by the National Natural Science Foundation of China (NSFC) (Grant No. 91430215 ). P. Sun was partially supported by National Science Foundation (NSF) Grant DMS-1418806 , and also by DE-SC0009249 during his sabbatical leave at Pennsylvania State University in 2013–2014. L. Zhang was partially supported by the NSFC (Grant No. 51279071 ) and the Doctoral Foundation of the Ministry of Education of China (Grant No. 20135314130002 ). We also appreciate the valuable assistance from Dr. Xiaozhe Hu and the FASP group of J. Xu in regard to the development of an efficient linear algebraic solver for the saddle-point system.
Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2016/11/1
Y1 - 2016/11/1
N2 - In this paper, we study a dynamic fluid–structure interaction (FSI) model for an elastic structure immersed and spinning in the fluid. To describe the motion of a rotating elastic structure, we develop a linear constitutive model, that is suitable for the application of the arbitrary Lagrangian–Eulerian (ALE) method in FSI simulations. Additionally, a new ALE mapping method is designed to generate the moving fluid mesh while the deformable structure spins in a non-axisymmetric fluid channel. The structure velocity is adopted as the principle unknown to form a monolithic saddle-point system together with fluid velocity and pressure. Using the mixed finite element method and Newton's linearization, we discretize the nonlinear saddle-point system, and prove that the discrete saddle-point system is well-posed. The developed methodology is applied to a self-defined elastic structure and a realistic hydro-turbine under a prescribed angular velocity. Numerical validation is also conducted to demonstrate the accuracy of the models and the numerical methods.
AB - In this paper, we study a dynamic fluid–structure interaction (FSI) model for an elastic structure immersed and spinning in the fluid. To describe the motion of a rotating elastic structure, we develop a linear constitutive model, that is suitable for the application of the arbitrary Lagrangian–Eulerian (ALE) method in FSI simulations. Additionally, a new ALE mapping method is designed to generate the moving fluid mesh while the deformable structure spins in a non-axisymmetric fluid channel. The structure velocity is adopted as the principle unknown to form a monolithic saddle-point system together with fluid velocity and pressure. Using the mixed finite element method and Newton's linearization, we discretize the nonlinear saddle-point system, and prove that the discrete saddle-point system is well-posed. The developed methodology is applied to a self-defined elastic structure and a realistic hydro-turbine under a prescribed angular velocity. Numerical validation is also conducted to demonstrate the accuracy of the models and the numerical methods.
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U2 - 10.1016/j.cma.2016.09.020
DO - 10.1016/j.cma.2016.09.020
M3 - Article
AN - SCOPUS:84991698908
VL - 311
SP - 788
EP - 814
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
ER -