• 제목/요약/키워드: Momentum theorem

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Development of a Flow Analysis Code Using an Unstructured Grid with the Cell-Centered Method

  • Myong, Hyon-Kook;Kim, Jong-Tae
    • Journal of Mechanical Science and Technology
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    • 제20권12호
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    • pp.2218-2229
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    • 2006
  • A conservative finite-volume numerical method for unstructured grids with the cell-centered method has been developed for computing flow and heat transfer by combining the attractive features of the existing pressure-based procedures with the advances made in unstructured grid techniques. This method uses an integral form of governing equations for arbitrary convex polyhedra. Care is taken in the discretization and solution procedure to avoid formulations that are cell-shape-specific. A collocated variable arrangement formulation is developed, i.e. all dependent variables such as pressure and velocity are stored at cell centers. For both convective and diffusive fluxes the forms superior to both accuracy and stability are particularly adopted and formulated through a systematic study on the existing approximation ones. Gradients required for the evaluation of diffusion fluxes and for second-order-accurate convective operators are computed by using a linear reconstruction based on the divergence theorem. Momentum interpolation is used to prevent the pressure checkerboarding and a segregated solution strategy is adopted to minimize the storage requirements with the pressure-velocity coupling by the SIMPLE algorithm. An algebraic solver using iterative preconditioned conjugate gradient method is used for the solution of linearized equations. The flow analysis code (PowerCFD) developed by the present method is evaluated for its application to several 2-D structured-mesh benchmark problems using a variety of unstructured quadrilateral and triangular meshes. The present flow analysis code by using unstructured grids with the cell-centered method clearly demonstrate the same accuracy and robustness as that for a typical structured mesh.

수평축 풍력터빈의 공력 하중 비교 (I): 난류 유입 유·무 (Comparison of Aerodynamic Loads for Horizontal Axis Wind Turbine (I): with and without Turbulent Inflow)

  • 김진;강승희;유기완
    • 한국항공우주학회지
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    • 제44권5호
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    • pp.391-398
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    • 2016
  • 본 연구에서는 난류 유입조건을 갖는 수평축 풍력터빈 블레이드의 공력 하중에 대해 초점을 맞추어 연구하였다. 난류모델은 풍속과 방향에 대한 변동을 포함하며, 그 특성은 난류 강도와 표준편차로 표현된다. IEC61400-1에서는 정상 난류 모델과 정상 풍속 측면도에 대해서 피로해석을 수행하도록 규정하고 있다. 이를 위해 공력 최적설계 절차를 통해 얻어낸 MW급 수평축 풍력터빈 블레이드 허브와 저속 회전축에 대한 공력하중 해석을 수행한다. 공력하중 성분은 수치적인 절차를 통해 얻어내며 이를 블레이드 회전 특성을 고려하여 해석적으로 검토하였다. 난류 조건을 고려했을 때의 최대 추력과 토크의 변동치는 난류 조건을 고려하지 않았을 때의 값들에 비해 5~8 배 더 큰 값을 보였다. 따라서 난류 조건을 반영한 하중 해석은 풍력터빈 블레이드의 구조설계에 있어서 필수적임을 확인하였다.