• 제목/요약/키워드: Galerkin Finite Element Method

검색결과 248건 처리시간 0.026초

유한요소법에 의한 2차원 하천 흐름 모형의 개발 (Two-Dimensional River Flow Analysis Modeling By Finite Element Method)

  • 한건연;김상호;김병현;최승용
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2006년도 학술발표회 논문집
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    • pp.425-429
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    • 2006
  • The understanding and prediction of the behavior of flow in open channels are important to the solution of a wide variety of practical flow problems in water resources engineering. Recently, frequent drought has increased the necessity of an effective water resources control and management of river flows for reserving instream flow. The objective of this study is to develop an efficient and accurate finite element model based on Streamline Upwind/Petrov-Galerkin(SU/PG) scheme for analyzing and predicting two dimensional flow features in complex natural rivers. Several tests were performed in developed all elements(4-Node, 6-Node, 8-Node elements) for the purpose of validation and verification of the developed model. The U-shaped channel of flow and natural river of flow were performed for tests. The results were compared with these of laboratory experiments and RMA-2 model. Such results showed that solutions of high order elements were better accurate and improved than those of linear elements. Also, the suggested model displayed reasonable velocity distribution compare to RMA-2 model in meandering domain for application of natural river flow. Accordingly, the developed finite element model is feasible and produces reliable results for simulation of two dimensional natural river flow. Also, One contribution of this study is to present that results can lead to significant gain in analyzing the accurate flow behavior associated with hydraulic structure such as weir and water intake station and flow of chute and pool.

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하구수와 표사의 상호작용에 관한 연구 (A Study on Interaction of Estuarial Water and Sediment Transport)

  • 이호;이중우
    • 한국항만학회지
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    • 제14권4호
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    • pp.451-461
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    • 2000
  • The design and maintenance of navigation channel and water facilities of an harbor which is located at the mouth of river or at the estuary area are difficult due to the complexity of estuarial water and sediment circulation. Effects of deepening navigable waterways, of changing coastline configurations, or of discharging dredged material to the open sea are necessary to be investigated and predicted in terms of water quality and possible physical changes to the coastal environment. A borad analysis of the transport mechanism in the estuary area was made in terms of sediment property, falling velocity, concentration and flow characteristics. In order to simulate the transport processes, a two-dimensional finite element model is developed, which includes erosion, transport and deposition mechanism of suspended sediments. Galerkin’s weighted residual method is used to solve the transient convection-diffusion equation. The fluid domain is subdivided into a series of triangular elements in which a quadratic approximation is made for suspended sediment concentration. Model could deal with a continuous aggregation by stipulating the settling velocity of the flocs in each element. The model provides suspended sediment concentration, bed shear stress, erosion versus deposition rate and bed profile at the given time step.

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임의 형태의 삼차원 균열 모델링 및 해석 (Modeling and Analysis of Arbitrarily Shaped Three-Dimensional Cracks)

  • 박재학
    • 대한기계학회논문집A
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    • 제35권9호
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    • pp.1091-1097
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    • 2011
  • SGBEM-FEM 교호법은 유한 물체 내에 존재하는 삼차원 균열을 해석하는 유용한 방법으로 알려져 있다. 이 방법으로 일반적인 평면 혹은 비평면 삼차원 균열에 대한 정확한 응력강도계수를 구할 수 있다. 기존의 방법에서는 균열을 모델화 하는데 8 절점 사각형 경계요소를 사용한다. 그러나 임의 형상의 균열의 경우는 3 절점 삼각형 요소를 사용하여 균열을 모델화 하는 것이 더 편리하다. 따라서 본 논문에서는 3 절점 삼각형 요소와 7 절점 사각형 요소를 사용하여 전진 프런트 법으로 균열을 모델링 하였다. 사용된 균열 모델의 정확성을 검토하기 위하여 몇 가지 형상의 균열에 대하여 응력강도계수를 구하여 기존의 해와 비교하였다.

물체력이 작용되는 반무한영역문제의 비선형유한요소-경계요소 조합해석 (Analysis of Semi-Infinite Problems Subjected to Body Forces Using Nonlinear Finite Elements and Boundary Elements)

  • 황학주;김문겸;허택녕;나경웅
    • 대한토목학회논문집
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    • 제11권1호
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    • pp.45-53
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    • 1991
  • 지하구조물은 물체력과 초기응력이 지배적인 하중조건이 되며, 무한 또는 반무한영역을 경계로 한다. 또한 굴착면 주위에는 응력집중에 의해 비선형 거동이 발생한다. 본 논문에서는 경계요소법으로 물체력과 초기응력을 해석하기 위하여 영역적분은 경계 적분화하였다. 물체력에 대한 영역적분은 Galerkin텐서와 발산정리를 사용한 방법과 극좌표를 이용한 직접적분 방법으로 경계적분화하였고, 초기응력에 대한 영역적분은 극좌표를 이용한 직접적분 방법을 응용하여 경계적분화하였다. 경계요소해석 결과는 유한요소해석 결과와 비교하여 검증하였고 검증된 경계요소 프로그램을 비선형 유한요소 프로그램과 조합하여 굴착면 주위에 발생하는 비선형 거동을 합리적으로 해석하도록 하였다. 경계요소법에서 고려하기 어려운 물체력과 초기응력에 대한 영역적분을 경계적분화하여 효율적으로 해석할 수 있었으며, 조합해석 방법으로 비선형 거동을 합리적으로 해석할 수 있었다. 본 연구의 결과는 지하구조물의 해석에 유용하게 사용될 수 있을 것으로 기대된다.

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열간박판압연공정의 유한요소해석 (Finite Element Analysis of Hot Strip Rolling Process)

  • 강윤호;황상무
    • 대한기계학회논문집
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    • 제16권5호
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    • pp.829-837
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    • 1992
  • 본 연구에서는 열간박판압연공정에서의 소성유동, 롤압력, 온도분포를 예측하 기 위한 새로운 방법을 제안하고 있다. 제안된 방법은 유한요소 수식화에 바탕을 두 고 있으며 박판의 소성유동과 온도판의 소성유동과 롤-박판 접촉면에서의 롤압력을 예 측하기 위하여 Hwang등이 제안한 벌칙 강소성 유한요소 수식화기법을 제시하였으며 제 안된 방법에 대한 해의 정확도는 문헌에서의 이론해와 시뮬레이션 결과를 비교하여 확 인하였다. 또한 박판에서의 온도장, 속도장과 롤에서의 온도장의 연계해석을 위한 반복계산방법이 제안되었다. 제안된 방법들을 이용하여 다양한 공정에 대한 시뮬레 이션을 수생하였으며 다양한 공정조건에 대한 롤-박판 시스템의 열적특성과 롤간극에 서 박판의 유동특성을 조사하였다.

자유 표면이 존재하는 유체 유동 해석을 위한 VOF방법의 기반의 새로운 수치 기법(I)-새로운 자유 표면 추적 알고리즘 및 검증- (A New VOF-based Numerical Scheme for the Simulation of Fluid Flow with Free Surface(I)-New Free Surface Tracking Algorithm and Its Verification-)

  • 김민수;신수호;이우일
    • 대한기계학회논문집B
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    • 제24권12호
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    • pp.1555-1569
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    • 2000
  • Numerical simulation of fluid flow with moving free surface has been carried out. For the free surface flow, a VOF(Volume of Fluid)-based algorithm utilizing a fixed grid system has been investigated. In order to reduce numerical smearing at the free surface represented on a fixed grid system, a new free surface tracking algorithm based on the donor-acceptor scheme has been presented. Novel features of the proposed algorithm are characterized as two numerical tools; the orientation vector to represent the free surface orientation in each cell and the baby-cell to determine the fluid volume flux at each cell boundary. The proposed algorithm can be easily implemented in any irregular non-uniform grid systems that are usual in finite element method (FEM). Moreover, the proposed algorithm can be extended and applied to the 3-D free surface flow problem without additional efforts. For computation of unsteady incompressible flow, a finite element approximation based on the explicit fractional step method has been adopted. In addition, the SUPG(streamline upwind/Petrov-Galerkin) method has been implemented to deal with convection dominated flows. Combination of the proposed free surface tracking scheme and explicit fractional step formulation resulted in an efficient solution algorithm. Validity of the present solution algorithm was demonstrated from its application to the broken dam and the solitary wave propagation problems.

ALE 유한요소법에 의한 충돌 액체 분류 냉각 유동 특성 해석 (Cooling Flow Characteristics of an Impinging Liquid Jet Using ALE Finite Element Method)

  • 성재용;최형권;유정열
    • 대한기계학회논문집B
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    • 제23권1호
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    • pp.43-57
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    • 1999
  • The fluid flow and heat transfer in a thin liquid film are investigated numerically. The flow Is assumed to be two-dimensional laminar and surface tension is considered. The most important characteristics of this flow is the existence of a hydraulic jump through which the flow undergoes very sharp and discontinuous change. Arbitrary Lagrangian-Eulerian(ALE) method is used to describe moving free boundary and a modified SIMPLE algorithm based on streamline upwind Petrov-Galerkin(SUPG) finite element method is used for time marching iterative solution. The numerical results obtained by solving unsteady full Navier-Stokes equations are presented for planar and radial flows subject to constant wall temperature or constant wall heat flux, and compared with available experimental data. It Is discussed systematically how the inlet Reynolds and Froude numbers and surface tension affect the formation of a hydraulic jump. In particular, the effect of temperature dependent fluid properties is also discussed.

Multiscale finite element method applied to detached-eddy simulation for computational wind engineering

  • Zhang, Yue;Khurram, Rooh A.;Habashi, Wagdi G.
    • Wind and Structures
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    • 제17권1호
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    • pp.1-19
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    • 2013
  • A multiscale finite element method is applied to the Spalart-Allmaras turbulence model based detached-eddy simulation (DES). The multiscale arises from a decomposition of the scalar field into coarse (resolved) and fine (unresolved) scales. It corrects the lack of stability of the standard Galerkin formulation by modeling the scales that cannot be resolved by a given spatial discretization. The stabilization terms appear naturally and the resulting formulation provides effective stabilization in turbulent computations, where reaction-dominated effects strongly influence near-wall predictions. The multiscale DES is applied in the context of high-Reynolds flow over the Commonwealth Advisory Aeronautical Council (CAARC) standard tall building model, for both uniform and turbulent inflows. Time-averaged pressure coefficients on the exterior walls are compared with experiments and it is demonstrated that DES is able to resolve the turbulent features of the flow and accurately predict the surface pressure distributions under atmospheric boundary layer flows.

수평브릿지만법에 의한 갈륨비소 과도기 성장의 유한요소 해석 (Finite element analysis of transient growth of GaAs by horizontal Bridgman method)

  • 김도현;민병수
    • 한국결정성장학회지
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    • 제6권1호
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    • pp.19-31
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    • 1996
  • 갈륨 비소 반도체 결정을 성장시키는 데 많이 사용되는 수평브렷지만법에 의하여 성장된 갈륨비소 단결정 내에셔 불순물 분포를 알아보기 위하여 액상에서 열전달, 물질전달, 유 체흐름과 고상에서 열전달을 묘사하는 과도기 모탤을 수립하였고 유한요소법과 음함수 척분법 에 의하여 수치모사를 행하였다. 그 결과 Gr이 작은 경우에는 확산조절성장의 특성을 보였으며 G Gr이 1,700 정도만 되어도 농도의 최소값이 계면 근처로 이동하였다. 응고가 진행됨에 따라 계 면의 곡률이 증가하였고, 흐름에 의한 혼합이 안정될 때까지 수직편석이 증가하였다. 수펑편석 은 응고가 진행됨에 따라 증가하였지만 흐름의 강도가 강한 경우에는 곧 일정하게 유지되였다. G Gr이 아주 작거나 큰 경우에는 Smith식과 Scheil식의 경우와 잘 일치하였다.

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BUBBLE STABILIZATION OF CHEBYSHEV-LEGENDRE HIGH-ORDER ELEMENT METHODS FOR THE ADVECTION-DIFFUSION EQUATION

  • Kim, Philsu;Kim, Sang Dong;Lee, Yong Hun
    • 대한수학회보
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    • 제53권2호
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    • pp.423-440
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    • 2016
  • The bubble stabilization technique of Chebyshev-Legendre high-order element methods for one dimensional advection-diffusion equation is analyzed for the proposed scheme by Canuto and Puppo in [8]. We also analyze the finite element lower-order preconditioner for the proposed stabilized linear system. Further, the numerical results are provided to support the developed theories for the convergence and preconditioning.