• 제목/요약/키워드: Finite volume method

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GIS를 이용한 2차원 수치모형의 자연하천 적용 (Application of 2D Numerical Model for Natural Rivers using GIS)

  • 김병현;한건연
    • 한국지리정보학회지
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    • 제12권3호
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    • pp.128-142
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    • 2009
  • 현재까지 개발되고 있는 대부분의 유한체적모형은 가상하도 및 실험하도와 같은 단순하도에 적용하여 흐름율과 생성항의 균형문제를 해결하기 위한 여러 가지 노력들이 있어 왔다. 하지만, 실제 자연하천에서의 적용에서는 단순하도에서의 적용에서 나타나지 않았던 여러 가지 문제점들이 발생하며, 이러한 문제점들을 수치적으로 해결하여야 비로소 자연하천에서의 적용이 가능하다. 본 연구에서는 자연하천에 적용가능한 2차원 유한체적모형을 개발하여 2차원 부분적 댐 붕괴에 적용하여 개발모형의 정확성을 검증하고, 한강의 측량단면을 GIS를 이용하여 2차원 격자에 정확하게 반영할 수 있는 간단하고 효율적인 2차원 격자생성기법을 제안하였다. 그리고 제안된 기법으로 생성된 2차원 격자로 한강에 대한 흐름모의를 수행하고 계산수위와 실측수위를 비교하여 자연하천에 대한 개발모형의 정확성 및 적용성을 입증하였다.

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UNSTRUCTURED MOVING-GRID FINITE-VOLUME METHOD FOR UNSTEADY SHOCKED FLOWS

  • Yamakawa M;Matsuno K
    • 한국전산유체공학회지
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    • 제10권1호
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    • pp.24-30
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    • 2005
  • Unstructured grid system is suitable for flows of complex geometries. For problems with moving boundary walls, the grid system must be time-dependently changing and deforming according to the movement of the boundaries when we use a body fitted grid system. In this paper, a new moving-grid finite-volume method on unstructured grid system is proposed and developed for unsteady compressible flows with shock waves. To assure geometric conservation laws on moving grid system, a control volume on the space-time unified domain is adopted for estimating numerical flux. The method is described and applied for two-dimensional flows.

Transient filling simulations in unidirectional fibrous porous media

  • Liu, Hai Long;Hwang, Wook-Ryol
    • Korea-Australia Rheology Journal
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    • 제21권1호
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    • pp.71-79
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    • 2009
  • The incomplete saturation and the void formation during the resin infiltration into fibrous porous media in the resin transfer molding process cause failure in the final product during its service. In order to better understand flow behavior during the filling process, a finite-element scheme for transient flow simulation across the micro-structured fibrous media is developed in the present work. A volume-of- fluid (VOF) method has been incorporated in the Eulerian frame to capture the evolution of flow front and the vertical periodic boundary condition has been combined to avoid unwanted wall effect. In the microscale simulation, we investigated the transient filling process in various fiber structures and discussed the mechanism leading to the flow fingering in the case of random fiber distribution. Effects of the filling pressure, the shear-thinning behavior of fluid and the volume fraction on the flow front have been investigated for both intra-tow and the inter-tow flows in dual-scale fiber tow models.

로타리 킬른형 건조로 열유동 해석에 관한 연구 (Study on CFD Analysis of Dying Plant with Rotary Kiln Type for Eco-Industrial Park)

  • 강우정;황준
    • 한국기계가공학회지
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    • 제8권4호
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    • pp.61-68
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    • 2009
  • This paper presents the numerical analysis of process of sludge drying to know the characteristics of design parameters and develop the new process plant. Finite volume method and $k-{\varepsilon}$ turbulence model were used to analogy the sludge drying furnace. It has been attempted to perform the disposal of sewage sludge such as simple reclaiming and dumping in sea and incineration. Currently, these methods are restricted by national or international government regulations. The drying process is adopted as an effective method for sewage sludge treatment. However sewage sludge makes it difficult to treat with a large volume at the real drying process plant because of its own complicated physical, chemical, and thermal properties. The final design value of moisture content with 10% of the dried sludge can be obtained through the simulated outputs in this study.

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하이브리드 기법을 이용한 고정된 해양구조물에 작용하는 파랑하중에 관한 수치 시뮬레이션 (Numerical Simulation of Wave Forces acting on Fixed Offshore Structures Using Hybrid Scheme)

  • 남보우;홍사영;김용환
    • 한국해양공학회지
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    • 제24권6호
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    • pp.16-22
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    • 2010
  • In this paper, the diffraction problems for fixed offshore structures are solved using a hybrid scheme. In this hybrid scheme, potential-based solutions and the Navier-Stokes-based finite volume method (FVM) with a volume-of-fluid (VOF) method are combined. We introduce a buffer zone for efficient wave-making and damping. In this buffer zone, the near field solution from FVM-VOF is gradually changed to Stokes' 2nd order wave solutions. Three different models, including the truncated cylinder, sphere, and wigleyIII model, are numerically investigated in regular waves with a wave steepness of 1/30. The efficiency and accuracy of the hybrid scheme are numerically validated from results using different domain sizes and buffer zones. The wave exciting forces from the FVM-VOF simulations are compared with experiments and potential-based solutions from the higher-order boundary element method (HOBEM). This comparison shows good agreement between the hybrid scheme and potential-based solutions.

Control Volume Formulation Method를 사용한 GaAs MESFET의 2차원 수치해석 (Two-Dimensional Numerical Simulation of GaAs MESFET Using Control Volume Formulation Method)

  • 손상희;박광민;박형무;김한구;김형래;박장우;곽계달
    • 대한전자공학회논문지
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    • 제26권1호
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    • pp.48-61
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    • 1989
  • 본 논문에서는 게이트의 길이가 0.7${\mu}m$인 n형 GaAs MESFET를 2차원적으로 수치 해석하였으며, 이동도를 국부 전계의 함수로 취하는 드리프트 -확산 모델을 사용하였다. 이산화 방법으로는 종래에 사용되던 FDM(finite difference method), FEM(finite element method)을 사용치 아낳고 Control-Volume Formulation을 사용하였으며, numerical scheme으로는 기존의 hybrid scheme이나 upwind scheme 대신에 exponential scheme과 거의 근사한 power-law scheme을 사용하였다. 이때 드리프트 속도와 확산 속도의 비율을 나타내는 Peclet number의 개념을 사용하였으며, 이 개념을 사용하여 control volume의 경계에서 numerical scheme을 고려한 전류식을 제안하였다. 앞에서 고려한 모델들과 수치해석 방법을 사용하여 시뮬레이션한 I-V 특성은 기존 노문의 결과와 일치하였다. 따라서 본 논문의 결과가 GaAs MESFET를 위한 유용한 2차원 시뮬레이터가 될 수 있음을 확인하였다. 또한 I-V 특성외에 채널 밑바닥에서이 속도 및 전계 분포를 통해 드리프트-확산 모델을 고려한 경우에 발생하는 속도 포화의 메카니즘을 제시했고, Dipole의 발생위치 및 발생 원인과 드레인 전류와의 관계 등에 대해서도 제시했다.

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Eulerian-Lagrangian 방법을 사용한 임의 물체주위 유동해석의 정도 향상을 위한 연구 (A Study of Accuracy Improvement of an Analysis of Flow around Arbitrary Bodies by Using an Eulerian-Lagrangian Method)

  • 박일룡;전호환
    • 한국전산유체공학회지
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    • 제6권3호
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    • pp.19-26
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    • 2001
  • An Eulerian-Lagrangian method, so called immersed boundary method, is used for analysing viscous flow around arbitrary bodies, where governing equations are discretized on a regular grid by using a finite volume method. To improve the accuracy of flow near body boundaries, a second-order accurate interpolation scheme is used and a level-set based grid deformation method is presented to construct the adaptive grids around body boundaries. The present scheme is used to simulate steady flow around a semicircular cylinder mounted on the bottom of flow domain and calculated results are validated by results of a body fitted grid method. Finally, present method is applied to a complex flow around multi body and the usefulness is checked by investigating calculated results.

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인장 하중을 받는 무한 고체에 포함된 다수의 다이아몬드 형 함유체 문제 해석을 위한 체적 적분방정식법 (Volume Integral Equation Method for Problems Involving Multiple Diamond-Shaped Inclusions in an Infinite Solid under Uniaxial Tension)

  • 이정기
    • 대한기계학회논문집A
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    • 제36권1호
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    • pp.59-71
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    • 2012
  • 체적 적분방정식법(Volume Integral Equation Method)이라는 새로운 수치해석 방법을 이용하여, 서로 상호작용을 하는 등방성 또는 이방성 다이아몬드 형 함유체를 포함하는 등방성 무한고체가 정적 인장하중을 받을 때 무한고체 내부에 발생하는 응력분포 해석을 매우 효과적으로 수행하였다. 즉, 등방성 기지에 다수의 등방성 또는 이방성 다이아몬드 형 함유체의 중심이 1) 정사각형 배열 형태 또는 2) 정육각형 배열 형태로 포함되어 있는 경우에, 다양한 다이아몬드 형을 포함하는 원형 실린더 함유체의 체적비에 대하여, 중앙에 위치한 다이아몬드 형 함유체와 등방성 기지의 경계면에서의 인장응력 분포의 변화를 구체적으로 조사하였다. 또한, 체적 적분방정식법을 이용하여 구한 해의 정확도를 검증하기 위하여, 체적 적분방정식법을 이용한 해를 유한요소법을 이용한 해와 비교해 보았다.

삼각형 요소의 형상 충전 및 격자 세분화를 이용한 붕괴하는 물 댐의 유한 요소 해석 (Finite Element Analysis of Collapse of a Water Dam Using Filling Pattern Technique and Adaptive Grid Refinement of Triangular Elements)

  • 김기돈;양동열;정준호
    • 대한기계학회논문집B
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    • 제28권4호
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    • pp.395-405
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    • 2004
  • The filling pattern and an adaptive grid refinement based on the finite element method and Eulerian mesh advancement approach have been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation for flow analysis is Navier-Stokes equation including inertia and gravity effects. The mixed FE formulation and predictor-corrector method are used effectively for unsteady numerical simulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among four filling patterns at each triangular control volume. By adaptive grid refinement, the new flow field that renders better prediction in flow surface shape is generated and the velocity field at the flow front part is calculated more exactly. In this domain the elements in the surface region are made finer than those in the remaining regions for more efficient computation. Using the proposed numerical technique, the collapse of a water dam has been analyzed to predict flow phenomenon of fluid and the predicted front positions with respect to time have been compared with the reported experimental results.

형상 충전 및 격자 세분화를 이용한 삼차원 자유 표면 유동의 유한 요소 해석 (Three Dimensional Finite Element Analysis of Free Surface Flow Using Filling Pattern Technique and Adaptive Grid Refinement)

  • 김기돈;양동열;정준호
    • 대한기계학회논문집B
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    • 제28권11호
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    • pp.1348-1358
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    • 2004
  • The filling pattern and an adaptive grid refinement based on the finite element method and Eulerian mesh advancement approach have been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation fur flow analysis is Navier-Stokes equation including inertia and gravity effects. The mixed FE formulation and predictor-corrector method are used effectively for unsteady numerical simulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among seven filling patterns at each tetrahedral control volume. By adaptive grid refinement, the new flow field that renders better prediction in flow surface shape is generated and the velocity field at the flow front part is calculated more exactly. In this domain the elements in the surface region are made finer than those in the remaining regions for more efficient computation. The collapse of a water dam and the filling of a fluidity spiral have been analyzed. The numerical results have been in good agreement with the experimental results and the efficiency of the adaptive grid refinement and filling pattern techniques have been verified.