• 제목/요약/키워드: Non-Cartesian

검색결과 72건 처리시간 0.023초

Hybrid Cartesian/Immersed Boundary 법을 이용한 2차원 변형날개 주위 점성유동 해석 (Numerical Simulation of a Viscous Flow Field Around a Deforming Foil Using the Hybrid Cartesian/Immersed Boundary Method)

  • 신상묵;김형태
    • 대한조선학회논문집
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    • 제43권5호
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    • pp.538-549
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    • 2006
  • A code is developed to simulate a viscous flow field around a deformable body using the hybrid Cartesian/immersed boundary method. In this method, the immersed boundary(IB) nodes are defined near the body boundary then velocities at the IB nodes are reconstructed based on the interpolation along the normal direction to the body surface. A new method is suggested to define the IB nodes so that a closed fluid domain is guaranteed by a set of IB nodes and the method is applicable to a zero-thickness body such as a sail. To validate the developed code, the vorticity fields are compared with other recent calculations where a cylinder orbits and moves into its own wake. It is shown the code can handle a sharp trailing edge at Reynolds number of $10^5$ under moderate requirements on girds. Finally the developed code is applied to simulate the vortex shedding behind a deforming foil with flapping tail like a fish. It is shown that the acceleration of fluids near the flapping tail contributes to the generation of the thrust for propulsion.

직교격자를 이용한 단순 세장 구조물의 와유기 진동 해석 (Vortex-Induced Vibration of Simple Slender Structure Using Cartesian Mesh)

  • 한명륜;안형택
    • 대한조선학회논문집
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    • 제48권3호
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    • pp.260-266
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    • 2011
  • For long slender offshore structures, such as cables and pipe lines, their interaction with surrounding fluid flow becomes an important issue for global design of ocean systems. We employ a long circular cylinder as a representative case of slender offshore structure. A flexibly mounted cylinder in cross-flow generates complex vortex shedding and results in oscillation of the structure. In this paper, flow behind a circular cylinder at Re=100 is simulated. The vortex shedding pattern and flow induced motion are examined in the cross flow configuration as well as with various yaw-angled configurations. The "Lock-in" phenomenon is also observed when reduced velocity is approximately 4.0. The MAC Grid system, which is the typical grid system for Cartesian mesh and pressure correction methods, are used for solving the incompressible Navier-Stokes equations. Predictor/Corrector method is applied for obtaining a non-linear response of structure at the flexibly mounted. The existance and motion of the body is represented by the immersed boundary technique.

3차원 HCIB법을 이용한 회전하면서 변형하는 날개 주위 유동해석 (Numerical Simulation of Flow Field Around a Rotating Flexible Foil Using the 3D HCIB Method)

  • 신상묵;노인식
    • 대한조선학회논문집
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    • 제45권4호
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    • pp.379-388
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    • 2008
  • A hybrid Cartesian/immersed boundary code is expanded to simulate flow field around a three-dimensional body which undergoes large dynamic deformation. Immersed boundary nodes are automatically distributed based on the edges crossing triangles on body boundary. Velocity vectors are reconstructed at those immersed boundary nodes along local normal lines to the boundary. The reconstruction of pressure is avoided using the hybrid staggered/non-staggered grid method. The developed code is validated through comparisons with other results on laminar flow over a sphere. The code is applied to simulate flow around a foil which is attached to a body of revolution and rotates under periodic deformation. The periodic variation of the tip vortex is observed and the effects of the deformation on hydrodynamic force acting on the body are investigated.

직교격자 기반 수치기법을 이용한 부가저항 해석 (Analysis of Added Resistance using a Cartesian-Grid-based Computational Method)

  • 양경규;이재훈;남보우;김용환
    • 대한조선학회논문집
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    • 제50권2호
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    • pp.79-87
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    • 2013
  • In this paper, an Euler equation solver based on a Cartesian-grid method and non-uniform staggered grid system is applied to predict the ship motion response and added resistance in waves. Water, air, and solid domains are identified by a volume-fraction function for each phase and in each cell. For capturing the interface between air and water, the tangent of hyperbola for interface capturing (THINC) scheme is used with a weighed line interface calculation (WLIC) method. The volume fraction of solid body embedded in a Cartesian-grid system is calculated by a level-set based algorithm, and the body boundary condition is imposed by volume weighted formula. Added resistance is calculated by direct pressure integration on the ship surface. Numerical simulations for a Wigley III hull and an S175 containership in regular waves have been carried out to validate the newly developed code, and the ship motion responses and added resistances are compared with experimental data. For S175 containership, grid convergence test has been conducted to investigate the sensitivity of grid spacing on the motion responses and added resistances.

직교좌표계에 의한 아치의 자유진동 (Free Vibrations of Arches in Cartesian Coordinates)

  • 이병구;이용수;김일중;최규문
    • 한국소음진동공학회논문집
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    • 제12권12호
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    • pp.970-978
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    • 2002
  • 이제까지 아치의 자유진동에 관한 연구들은 모두 극좌표계에서 해석한 연구들이다. 이 논문은 극좌표계에서 아치의 해석을 지양하고, 직교좌표계에서 아치의 자유진동을 해석한 연구이다. 아치의 자유진동을 지배하는 미분방정식을 직교좌표계에서 유도하고. 이를 수치해석하여 고유진동수와와 진동형을 산출하였다. 미분방정식에는 회전관성 효과를 고려하고. 아치의 선형은 포물선으로 채택하였다. 실제 구조물에 대한 적용을 위하여 비대칭 축을 갖는 아치를 수치해석 하였다. 본 연구와 SAP 2000의 결과를 비교하여 본 연구의 타당성을 검증하였다. 수치해석의 결과로 아치의 무차원 변수들이 무차원 고유진동수에 미치는 영향을 분석하고. 전형적인 진동형의 예를 그림에 나타내었다.

The Comparison of the Classical Keplerian Orbit Elements, Non-Singular Orbital Elements (Equinoctial Elements), and the Cartesian State Variables in Lagrange Planetary Equations with J2 Perturbation: Part I

  • Jo, Jung-Hyun;Park, In-Kwan;Choe, Nam-Mi;Choi, Man-Soo
    • Journal of Astronomy and Space Sciences
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    • 제28권1호
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    • pp.37-54
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    • 2011
  • Two semi-analytic solutions for a perturbed two-body problem known as Lagrange planetary equations (LPE) were compared to a numerical integration of the equation of motion with same perturbation force. To avoid the critical conditions inherited from the configuration of LPE, non-singular orbital elements (EOE) had been introduced. In this study, two types of orbital elements, classical Keplerian orbital elements (COE) and EOE were used for the solution of the LPE. The effectiveness of EOE and the discrepancy between EOE and COE were investigated by using several near critical conditions. The near one revolution, one day, and seven days evolutions of each orbital element described in LPE with COE and EOE were analyzed by comparing it with the directly converted orbital elements from the numerically integrated state vector in Cartesian coordinate. As a result, LPE with EOE has an advantage in long term calculation over LPE with COE in case of relatively small eccentricity.

유한 요소법을 사용한 회전 외팔보의 굽힘 진동 해석 (Bending Vibration Analysis of a Rotating Cantilever Beam Employing Finite Element Method)

  • 박정훈;유홍희
    • 대한기계학회논문집A
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    • 제24권7호
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    • pp.1826-1832
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    • 2000
  • A modelling method for the bending vibration analysis of rotating cantilever beams employing finite element method is presented in this paper. Different from the conventional modelling method in wh ich only Cartesian deformation variables are used, a non-Cartesian deformation variable is introduced and approximated to derive the equations of motion. Numerical results obtained by using the presented modelling method are compared to those obtained by using other methods in the related literature, and the accuracy of the presented method is verified through the comparison study. The presented modelling method is superior to other previous methods in a sense that several advantages of the previous methods are incorporated into the presented method.

리니어 오실레이팅 전기기기의 비교 연구 (Convergence Comparison of Linear Oscillating Electric Machines)

  • 정성인;엄상인
    • 한국융합학회논문지
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    • 제12권12호
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    • pp.273-280
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    • 2021
  • 본 연구는 하이브리드 자동차의 리니어 오실레이팅 전기기기의 비교 연구를 위해 수행하였으며, 다섯 가지(직각좌표형, 영구자석 매입 원통형, 자속역전식, 릴럭턴스 원통형, 횡자속 형태.)의 제안된 형태의 비교를 통해 리니어 오실레이팅 전기기기의 연구결과를 제시하였다. 모든 형태는 초기 모델링으로서 누설을 고려한 등가자기회로법을 통해 수행되었다. 영구자석 형태의 이동자로 구성된 직각좌표형은 구속조건 아래에서 설계변수들의 파라미터 분석을 통한 최적화 과정이 수행되었고, 영구자석 매입 원통형은 이동자에 영구자석과 Back-iron이 결합된 구조를 제시하였다. 자속역전식은 영구자석형 이동자의 매입형태에 따른 분석과 향상된 모델을 제시하며, 릴럭턴스 원통형은 유효 자속의 증가와 리플을 저감하기 위한 이동자 치의 형태를 비교·분석하였다. 횡자속 형태에서는 2차원 분석기법과 3차원 분석을 통한 비교를 수행하였다. 본 연구는 설계 규칙과 리니어 오실레이팅 전기기기의 특성을 제공한다는 측면에서 의미가 있다.

역압력 구배가 있는 난류유동에 대한 수치적 연구 (A numerical study of turbulent flows with adverse pressure gradient)

  • 김형수;정태선;최영기
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.668-676
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    • 1991
  • Turbulent flows around tube banks and in the diffuser were studied using a non-orthogonal boundary fitted coordinate system and the modified K-.epsilon. turbulence model. In these cases, many problems emerge which stem from the geometrical complexity of the flow domain and the physical complexity of turbulent flow itself. To treat the complex geometry, governing equations were reformulated in a non-orthogonal coordinate system with Cartesian velocity components and discretised by the finite volume method with a non-staggered variable arrangement. The modified K-.epsilon. model of Hanjalic and Launer was applied to solve above two cases under the condition of strong and mild pressure gradient. The results using the modified K-.epsilon. model results in both test cases.

경로의존성 없는 극좌표계 성형한계도를 이용한 판재 성형성 향상 기술 (The Improvement of Formability using the Polar-coordinate FLD with Strain Path Independence)

  • 배문기;홍승현;최광용;윤정환;김영석
    • 소성∙가공
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    • 제24권5호
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    • pp.348-353
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    • 2015
  • The PEPS(Polar-coordinated Effective Plastic Strain) FLD(Forming Limit Diagram), a new type of FLD based on a polar representation of the EPS(Effective Plastic Strain), appears to be an effective solution to the problem of non-linear strain path effects. This method has the advantages of the familiar strain-based diagram for linear loading, but without the strain-hardening limitations of the stress-based diagram, or non-intuitive aspects of alternate Cartesian diagrams based on effective plastic strain. In the current study, the PEPS FLD was applied to the development process of an aluminum automobile-body panel, including the necking or crack prediction, die design, and die modification. As a result, the PEPS FLD provided improved formability of aluminum sheet as compared to deriving the potential formability with non-linearity.