• Title/Summary/Keyword: non-orthogonal curvilinear coordinates system

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Numerical Simulation of 2-D Estuaries and Coast by Multi-Domain and the Interpolating Matrix Method (Multi-Domain과 행렬 보간법을 이용한 강 하구와 연안의 2차원 수치해석)

  • Chae H. S.
    • Journal of computational fluids engineering
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    • v.2 no.1
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    • pp.21-28
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    • 1997
  • This paper presents a two-dimensional horizontal implicit model to general circulation in estuaries and coastal seas. The model is developed in non-orthogonal curvilinear coordinates system, using the Interpolating Matrix Method (IMM), in combination with a technique of multi-domain. In the propose model, the Saint-Venant equations are solved by a splitting-up technique, in the successive steps; convection, diffusion and wave propagation. The ability of the proposed model to deal with full scale nature is illustrated by the interpretation of a dye-tracing experiment in the Gironde estuary.

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Vibration and Post-buckling Behavior of Laminated Composite Doubly Curved Shell Structures

  • Kundu, Chinmay Kumar;Han, Jae-Hung
    • Advanced Composite Materials
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    • v.18 no.1
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    • pp.21-42
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    • 2009
  • The vibration characteristics of post-buckled laminated composite doubly curved shells are investigated. The finite element method is used for the analysis of post-buckling and free vibration of post-buckled laminated shells. The geometric non-linear finite element model includes the general non-linear terms in the strain-displacement relationships. The shell geometry used in the present formulation is derived using an orthogonal curvilinear coordinate system. Based on the principle of virtual work the non-linear finite element equations are derived. Arc-length method is implemented to capture the load-displacement equilibrium curve. The vibration characteristics of post-buckled shell are performed using tangent stiffness obtained from the converged deflection. The code is first validated and then employed to generate numerical results. Parametric studies are performed to analyze the snapping and vibration characteristics. The relationship between loads and fundamental frequencies and between loads and the corresponding displacements are determined for various parameters such as thickness ratio and shallowness.

A Study on the Choice of Dependent Variables of Momentum Equations in the General Curvilinear Coordinate (일반곡률좌표계 운동량방정식의 종속변수 선정에 관한 연구)

  • Kim, Tak-Su;Kim, Won-Gap;Kim, Cheol-Su;Choe, Yeong-Don
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1500-1508
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    • 2001
  • This paper represents the importance of dependent variables in non-orthogonal curvilinear coordinates just as the importance of those variables of convective scheme and turbulence model in computational fluid dynamics. Each of Cartesian, physical covariant and physical contravariant velocity components was tested as the dependent variables of momentum equations in the staggered grid system. In the flow past a circular cylinder, the results were computed to use each of three variables and compared to experimental data. In the skewed driven cavity flow, the results were computed to check the grid dependency of the variables. The results used in Cartesian and physical contravariant components of velocity in cylinder flow show the nearly same accuracy. In the case of Cartesian and contravariant component, the same number of vortex was predicted in the skewed driven cavity flow. Vortex strength of Cartesian component case has about 30% lower value than that of the other two cases.

Numerical Analysis of Three-Dimensional Flow in a Forward Curved Centrifugal Fan (전향 원심 송풍기의 3 차원 유동에 대한 수치해석)

  • Yun Jun Yong;Maeng Ju Seong;Byeon Seong Jun
    • 한국전산유체공학회:학술대회논문집
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    • 1998.05a
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    • pp.174-180
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    • 1998
  • Numerical study of three-dimensional turbulent flow in a forward curved centrifugal fan is presented. Standard $k-{\varepsilon}$ turbulence model and non-orthogonal curvilinear coordinates are used to consider the turbulent flow field and complex geometry. Finite Volume approach is adopted for discretization scheme and structured grid system is used to help convergence. Multiblock grid system is used for flow field and divided into five domains that are inlet, outlet, impeller, tip clearance and scroll. It is assumed that the flow field is steady state and incompressible. This numerical work is performed with commercial CFD-ACE code developed by CFD Research Corporation, and the results are compared wi th the experimental data

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Numerical Analysis of Three-Dimensional Flow in a Forward Curved Centrifugal Fan (전향 원심 송풍기의 3차원 유동에 대한 수치해석)

  • Yoon, Joon-Yong;Maeng, Joo-Sung;Byun, Sung-Joon;Lee, Sang-Hwan
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.24 no.7
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    • pp.916-923
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    • 2000
  • Numerical study of three-dimensional turbulent flow in a forward curved centrifugal fan is presented. Standard $k-{\varepsilon}$ turbulence model and non-orthogonal curvilinear coordinates arc used to consider the turbulent flow field and complex geometry. Finite Volume approach is adopted for discretization scheme and structured grid system is used to help convergence. Multiblock grid system is used for flow field and divided into five domains that are inlet, outlet, impeller, tip clearance and scroll. It is assumed that the flow field is steady and incompressible. These numerical results are compared with the experimental data inside a rotor and at the fan outlet. Most important flow features are captured through this numerical approach. Finally details of flow field inside a fan are described and analyzed.