• 제목/요약/키워드: mixed finite element

검색결과 318건 처리시간 0.04초

비정렬 혼합 격자에서 내재적 방법을 이용한 비압축성 유동해석 (Implicit Incompressible flow solver on Unstructured Hybrid grids)

  • 김종태;김용모;맹주성
    • 한국전산유체공학회지
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    • 제3권2호
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    • pp.17-26
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    • 1998
  • The three-dimensional incompressible Navier-Stokes equations have been solved by a node-centered finite volume method with unstructured hybrid grids. The pressure-velocity coupling is handled by the artificial compressibility algorithm and convective fluxes are obtained by Roe's flux difference splitting scheme with linear reconstruction of the solutions. Euler implicit method with Jacobi matrix solver is used for the time-integration. The viscous terms are discretised in a manner to handle any kind of grids such as tetragedra, prisms, pyramids, hexahedra, or mixed-element grid. Inviscid bump flow is solved to check the accuracy of high order convective flux discretisation. And viscous flows around a circular cylinder and a sphere are studied to show the efficiency and accuracy of the solver.

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Numerical Simulation of Projectiles in Detonable Gases

  • Moon, Su-Yeon;Lee, Chooung-Won;Sohn, Chang-Hyun
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2001년도 제17회 학술발표회 논문초록집
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    • pp.43-47
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    • 2001
  • A numerical parametric study is conducted to simulate shock-induced combustion with a variation in freestream conditions. The analysis is limited to inviscid flow and includes chmical nonequilibrium. A steady combustion front is established if the freestream Mach number is above the Chapman-Jouguet speed of the mixture. On the other, an unsteady reaction fi:ont is established if the freestream Mach number is below or at the Chapman-Jouguet speed of the mixture. The three cases have been simulated for Machs 4.18, 5.11, and 6.46 with a projectile diameter of 15 mm. Machs 4.18 and 5.11 shows an unsteady reaction front, whereas Mach 6.46 represents a steady reaction front. Thus Chapman-Jouguet speed is one of deciding factor for the instabilities to trigger. The instabilities of the chemical front with a variation of projectiles diameters will be investigated.

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Upwind Finite Element Model for Suspended Sediment Transport

  • 노준우
    • 한국습지학회지
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    • 제5권1호
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    • pp.67-78
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    • 2003
  • The unsteady 2D convection and diffusion equation is solved numerically for the real-time simulation of suspended load propagation. The streamlined upwind scheme efficiently reduces numerical oscillations due to the high Peclet number in the convection dominant flow. By using the mixed boundary condition to express the external source terms or externally induced suspended load as a function of time in the algorithm, the model is capable of handling not only continuous load cases but also non-continuous suspended load influx. The suspended load transport modelwas verified using a case study for which an analytical exact solution is available and was applied to the real-time simulation of a suspended load influx case on the Mississippi River. The model algorithm can provide a framework upon which water quality as well as contaminant transport models can be built.

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압축성형공정에 대한 알루미나 성형체 밀도분포의 FE 분석 (FE Analysis of Alumina Green Body Density for Pressure Compaction Process)

  • 임종인;육영진
    • 한국세라믹학회지
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    • 제43권12호
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    • pp.859-864
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    • 2006
  • For the pressure compaction process of the ceramic powder, the green density is very different with both the ceramic body shape and the processing conditions. The density difference cause non-uniform shrinkages and deformations, and make cracks in the sintered ceramics. In this paper, Material properties of the alumina powder mixed with binder and the friction coefficient between the powder and the tool set were determined through the simple compaction experiments: Also the powder flow characteristics were simulated and the green density was analyzed during the powder compaction process with Finite Element Method (FEM). The results show that the density distributions of the green body were improved at the optimized processing condition and both the possibility of the farming crack generation and rho deformation of the sintered Alumina body were reduced.

합성재료 물성치의 수치적 예측 (Numerical Prediction of Mechanical Properties of Composites)

  • 신수봉;고현무
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 봄 학술발표회 논문집
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    • pp.11-18
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    • 1997
  • Mechanical properties of a composite mixed by components with known material properties are numerically predicted at various volume fractions rather than investigated through experiments. The properties, elastic modulus and Poisson's ratio, are estimated by minimizing the error between the static displacements computed from a model for the composite and those computed from a model of homogeneous and isotropic material. A finite element model for a composite is proposed to distribute different types of material components easily into the model depending on the volume fraction. Mechanical properties of a composite filled with solid mircospheres are predicted numerically through a sample study and the estimated results are compared with experimental results and some theories.

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회로 및 수식 기반의 혼합 모델링을 이용한 7상 영구자석 브러시리스 전동기의 시뮬레이션 모델 (Simulation Model of 7 Phase Permanent Magnet Brushless Motor using Mixed Modeling based Circuit and Equation)

  • 이재현;목형수;최규하;이정민;김상훈
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2007년도 하계학술대회 논문집
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    • pp.202-204
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    • 2007
  • 영구자석을 이용한 다상 브러시리스 전동기의 역기전력의 파형은 정현파나 이상적인 사다리꼴 파형과는 다른 형태를 갖는다. 또한 다상 전동기의 경우 상호인덕턴스에 대한 이론적 해석이 쉽지 않아 시뮬레이션을 위한 모델 구현이 어렵다. 본 논문에서는 임의의 역기전력 파형을 갖는 7상 영구자석 브러시리스 전동기의 시뮬레이션 모델 구현 방법으로 회로 및 수식 을 기반으로 FEA(Finite Element Analysis)를 이용한 모델을 제안하고 시뮬레이션과 실험을 통해 제안된 모델의 타당성을 입증한다.

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Numerical study of bonded composite patch repair in damaged laminate composites

  • Azzeddine, Nacira;Benkheira, Ameur;Fekih, Sidi Mohamed;Belhouari, Mohamed
    • Advances in aircraft and spacecraft science
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    • 제7권2호
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    • pp.151-168
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    • 2020
  • The present study deals with the repair of composite structures by bonding composite patches. The composite structure is a carbon/epoxy laminate with stacking sequence [45/-45/0/90]S. The damaged zone is simulated by a central crack and repaired by bonding symmetrical composite patches. The repair is carried out using composite patches laminated from the same elemental folds as those of the cracked specimen. Three-dimensional finite element method is used to determine the energy release rate along the front of repaired crack. The effects of the repair technique used single or double patch, the stacking sequence of the cracked composite patch and the adhesive properties were highlighted on the variations of the fracture energy in mode I and mixed mode I + II loading.

P1 비순응 요소를 이용한 비압축성 유동 문제의 위상최적화 (Topology Optimization of Incompressible Flow Using P1 Nonconforming Finite Elements)

  • 장강원;장세명
    • 대한기계학회논문집A
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    • 제36권10호
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    • pp.1139-1146
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    • 2012
  • P1 비순응 요소를 이용하여 정상 비압축성 Navier-Stokes 유동의 위상최적화 문제를 푸는 방법을 제시한다. 본 연구는 Stokes 유동의 위상최적화 문제에 P1 비순응 요소를 적용하여 그 수치적 효용성을 보인바 있는 이전 연구에 대한 후속 연구이다. 비압축성 물질 해석에서 잠김현상이 발생하지 않으며 선형형상함수를 가지는 P1 비순응 요소의 장점이 관성항을 가지는 유체 문제의 해석과 설계에도 유효한 지를 파악하고자 한다. 일반적으로 사용되는 혼합정식화법과 비교하여 P1 비순응 요소의 사용은 벌칙 함수를 이용하여 연속 방정식을 따로 사용하지 않고 운동방정식에 부과할 수 있기 때문에 자유도의 개수를 감소시킬 수 있다. 벌칙 파라미터가 해의 정확도에 주는 영향과 적정 범위는 수치적으로 검토하도록 한다. 또한 보통의 사각 비순응 요소들이 요소면의 중앙에 절점을 가지고 고차의 형상함수를 지니는데 비하여, 본 연구에서 제시하는 P1 비순응 요소는 요소의 꼭지점에 절점을 가지고 {1, x, y}의 P1 형상함수로 구성됨으로써 수치적인 구현의 용이함이 일반 선형 사절점 요소와 동일하다. 제안한 방법의 효용성을 다양한 레이놀즈수에 따른 유동최적화 문제들을 살펴봄으로써 검증하도록 한다.

$J_k$ 적분을 이용한 이방성 복합적층판에 대한 혼합 모우드 파괴문제의 해석 (Analysis of mixed mode crack problems for anisotropic composite laminates using the $J_k$ integral)

  • 주석재;홍창선
    • 대한기계학회논문집
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    • 제13권3호
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    • pp.479-489
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    • 1989
  • 본 논문에서는 J$_{1}$,J$_{2}$ 적분과 K$_{I}$,K$_{II}$ 사이의 완전한 관계를 좁은 직사각형 경로를 택하여 간판하게 유도하였다. 그리고 유한요소의 해로 J$_{2}$적분을 효율적으로 계산하는 방법을 제시하였다.이미 해가 존재하는 문제 를 본 방법으로 다루어 그 결과를 비교하였고 일방향(unidirectional) 적층판 cantil- ever 평판 내의 single edge crack에 대한 해를 제시하였다.

혼합 체적-경계 적분방정식법을 이용한 탄성해석 방법 개발 (Development of an Elastic Analysis Technique Using the Mixed Volume and Boundary Integral Equation Method)

  • 이정기;허강일;진원재
    • 대한기계학회논문집A
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    • 제26권4호
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    • pp.775-786
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    • 2002
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of elastic wave scattering problems and plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. In the formulation of this method, the continuity condition at each interface is automatically satisfied, and in contrast to finite element methods, where the full domain needs to be discretized, this method requires discretization of the inclusions only. Finally, this method takes full advantage of the pre- and post-processing capabilities developed in FEM and BIEM. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, and the analysis of plane wave scattering problems in unbounded isotropic matrix with isotropic inclusions and voids, it will be established that this new method is very accurate and effective for solving plane wave scattering problems and plane elastic problems in unbounded solids containing general anisotropic inclusions and voids/cracks or isotropic inclusions.