Dual-solver research based on the coupling of flux reconstruction and finite volume methods

Accurate simulation of vortex-dominated flows has been an important issue for numerical methods in computational fluid dynamics. The recently proposed dual-solver framework provides an attracting direction for complex vortex structure resolving. In current research, we develop a dual-solver fluid so...

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Published in:	Acta mechanica Vol. 234; no. 8; pp. 3173 - 3196
Main Authors:	Fu, Hao, Xia, Jian, Tian, Shuling, Chen, Long
Format:	Journal Article
Language:	English
Published:	Vienna Springer Vienna 01.08.2023 Springer Springer Nature B.V
Subjects:	Analysis Classical and Continuum Physics Computational fluid dynamics Control Data exchange Dynamical Systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Finite element method Finite volume method Fluid dynamics Fluid flow Grid method Grid refinement (mathematics) Heat and Mass Transfer Methods Numerical methods Original Paper Reconstruction Solid Mechanics Solvers Theoretical and Applied Mechanics Time marching Vibration Vortices
ISSN:	0001-5970, 1619-6937
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Abstract	Accurate simulation of vortex-dominated flows has been an important issue for numerical methods in computational fluid dynamics. The recently proposed dual-solver framework provides an attracting direction for complex vortex structure resolving. In current research, we develop a dual-solver fluid solving system, in which the near-body region uses traditional finite volume method for complex geometries treatment, and apply high-order flux reconstruction (FR) method in off-body region to capture the evolution of vortex structures effectively. The parallel overset grid method is adopted in mesh assembly and data exchange process between solvers. The FR solver is developed under the framework of open-source adaptive mesh refinement (AMR) library p4est, which manages h-refinement efficiently. Cartesian cell with AMR is used in FR scheme to improve solving performance. The time marching method of coupled solvers is investigated. All modules in current system are verified, respectively. In the simulations where flow is dominated by vortex, we choose NACA0015 and S76 rotor wake resolving to verify the proposed system. The results reveal that the flow solver accurately resolves the vortex, the mesh distribution with AMR is reasonable. The results confirm the efficacy of proposed dual-solver framework.
AbstractList	Accurate simulation of vortex-dominated flows has been an important issue for numerical methods in computational fluid dynamics. The recently proposed dual-solver framework provides an attracting direction for complex vortex structure resolving. In current research, we develop a dual-solver fluid solving system, in which the near-body region uses traditional finite volume method for complex geometries treatment, and apply high-order flux reconstruction (FR) method in off-body region to capture the evolution of vortex structures effectively. The parallel overset grid method is adopted in mesh assembly and data exchange process between solvers. The FR solver is developed under the framework of open-source adaptive mesh refinement (AMR) library p4est, which manages h-refinement efficiently. Cartesian cell with AMR is used in FR scheme to improve solving performance. The time marching method of coupled solvers is investigated. All modules in current system are verified, respectively. In the simulations where flow is dominated by vortex, we choose NACA0015 and S76 rotor wake resolving to verify the proposed system. The results reveal that the flow solver accurately resolves the vortex, the mesh distribution with AMR is reasonable. The results confirm the efficacy of proposed dual-solver framework.
Audience	Academic
Author	Chen, Long Xia, Jian Tian, Shuling Fu, Hao
Author_xml	– sequence: 1 givenname: Hao orcidid: 0000-0003-2015-3883 surname: Fu fullname: Fu, Hao organization: College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 2 givenname: Jian surname: Xia fullname: Xia, Jian email: jxia@nuaa.edu.cn organization: College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 3 givenname: Shuling surname: Tian fullname: Tian, Shuling organization: College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics – sequence: 4 givenname: Long surname: Chen fullname: Chen, Long organization: College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics
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Snippet	Accurate simulation of vortex-dominated flows has been an important issue for numerical methods in computational fluid dynamics. The recently proposed...
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SubjectTerms	Analysis Classical and Continuum Physics Computational fluid dynamics Control Data exchange Dynamical Systems Engineering Engineering Fluid Dynamics Engineering Thermodynamics Finite element method Finite volume method Fluid dynamics Fluid flow Grid method Grid refinement (mathematics) Heat and Mass Transfer Methods Numerical methods Original Paper Reconstruction Solid Mechanics Solvers Theoretical and Applied Mechanics Time marching Vibration Vortices
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Title	Dual-solver research based on the coupling of flux reconstruction and finite volume methods
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