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판으로 나뉘어진 2차원 충류 채널유동에서 동적 유체-구조물 상호작용 수치해석
남궁각,최형권,유정열,Namkoong, Kak,Choi, Hyoung-Gwon,Yoo, Jung-Yul 대한기계학회 2002 大韓機械學會論文集B Vol.26 No.12
In the FSI (Fluid-Structure Interaction) problems, two different governing equations are to be solved together. One is fur the fluid and the other for the structure. Furthermore, a kinematic constraint should be imposed along the boundary between the fluid and the structure. We use the combined formulation, which incorporates both the fluid and structure equations of motion into a single coupled variational equation so that it is not necessary to calculate the fluid force on the surface of structure explicitly when solving the equations of motion of the structure. A two-dimensional channel flow divided by a Bernoulli-Euler beam is considered and the dynamic response of the beam under the influence of channel flow is studied. The Navier-Stokes equations are solved using a P2P1 Galerkin finite element method with ALE (Arbitrary Lagrangian-Eulerian) algorithm. The internal structural damping effect is not considered in this study and numerical results are compared with a previous work fer steady case. In addition to the Reynolds number, two non-dimensional parameters, which govern this fluid-structure system, are proposed. It is found that the larger the dynamic viscosity and density of the fluid are, the larger the damping of the beam is. Also, the added mass is found to be linearly proportional to the density of the fluid.
자유 낙하하는 실린더 주위의 층류 유동에서 St-Re 관계
남궁각(Kak NamKoong),최형권(HyoungGwon Choi),유정열(JungYul Yoo) 대한기계학회 2001 대한기계학회 춘추학술대회 Vol.2001 No.9
In the FSI (Fluid-Structure Interaction) problems, two different governing equations are to be solved together. One is for fluid and the other for structure. Furthermore, a kinematic constraint should be imposed along the boundary between the fluid and structure. We use the combined formulation (Hesla, 1991) which incorporates both the fluid and structure equations of motion into a single coupled variational equation so that it is not necessary to calculate the fluid force on the surface of structure explicitly when solving the equations of motion of the structure. Before treating complex FSI problems, laminar flow around a freely-falling cylinder is considered. The Navier-Stokes equations are solved using a P2P1 Galerkin finite element formulation with ALE (Arbitrary Lagrangian-Eulerian) algorithm and Newton’s equations of motion for cylinder are solved. The adaptive mesh refinement technique is also adopted which uses stress error as a posteriori error estimator together with an efficient variable-reordering and element-reordering method for unstructured finite element meshes. The numerical simulation results reveal the effect of vortex shedding on the motion of a falling cylinder. The cylinder falls oscillating in the spanwise direction and rotating about the center. A correlation of St-Re relationship for a freely-falling cylinder is to be proposed from the numerical data of the present study.