• 제목/요약/키워드: finite volume methods

검색결과 187건 처리시간 0.024초

Riemann 해법을 이용한 댐 붕괴파의 전파 해석 (Propagation Analysis of Dam Break Wave using Approximate Riemann solver)

  • 김병현;한건연;안기홍
    • 대한토목학회논문집
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    • 제29권5B호
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    • pp.429-439
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    • 2009
  • 댐 붕괴로 인한 극한홍수가 발생하였을 경우, 홍수경보에 대한 대응시간은 일반적인 홍수의 경우보다 훨씬 짧다. 수치모형은 홍수파의 전파양상을 예측하고, 범람지역, 홍수파 도달시간 그리고 침수심 등에 관한 정보를 제공하는데 있어 강력한 도구가 될 수 있다. 그러나 댐 붕괴로 인한 홍수파의 전파는 불연속 흐름이나 마른하도의 전파를 포함하고 있으므로, 수학적으로 표현하기 어려운 경우가 많다. 그럼에도 불구하고 최근에 유한체적기법을 이용하여 댐 붕괴로 인한 홍수범람을 모의하기 위한 수치모형의 개발이 많이 이루어졌다. 유한체적기법은 적분보존형 방정식을 기본으로 하고 있으므로, 불연속 흐름이나 충격파의 해석에 용이하다. 따라서, 본 연구에서는 2차원 보존형 천수방정식의 해석을 위해 유한체적기법과 Riemann 근사해법을 이용한 수치모형을 개발하였다. 그리고 예측단계와 수정단계에서 연속방정식과 운동량 방정식의 보존변수 재구성을 위해 수면경사법과 연계한 MUSCL 기법을 적용하여 시간과 공간에서 2차정확도를 얻었다. 개발한 유한체적모형을 2차원 부분적 댐 붕괴 해석 및 삼각형 융기를 가진 하도에 대한 댐 붕괴 해석에 적용하고, 적용결과를 실험자료 및 기존 연구자의 계산결과와 비교하여 개발모형을 검증하였다.

인장 하중을 받는 무한 고체에 포함된 다수의 등방성 함유체 문제 해석을 위한 체적 적분방정식법 (Volume Integral Equation Method for Multiple Isotropic Inclusion Problems in an Infinite Solid Under Uniaxial Tension)

  • 이정기
    • 대한기계학회논문집A
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    • 제34권7호
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    • pp.881-889
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    • 2010
  • 체적 적분방정식법(Volume Integral Equation Method)이라는 새로운 수치해석 방법을 이용하여, 서로 상호작용을 하는 등방성 함유체를 포함하는 등방성 무한고체가 정적 인장하중을 받을 때 무한고체 내부에 발생하는 응력분포 해석을 매우 효과적으로 수행하였다. 즉, 등방성 기지에 다수의 등방성 함유체가 1) 정사각형 배열 형태 또는 2) 정육각형 배열 형태로 포함되어 있는 경우에, 다양한 함유체의 체적비에 대하여, 중앙에 위치한 등방성 함유체와 등방성 기지의 경계면에서의 인장응력 분포의 변화를 구체적으로 조사하였다. 또한, 체적 적분방정식법을 이용한 해를 해석해 또는 유한요소법을 이용한 해와 비교해 봄으로서, 체적 적분방정식법을 이용하여 구한 해의 정확도를 검증하였다.

고차 내삽기법을 사용한 중첩 격자기법 (NOTES FOR AUTHORS OF THE KOREAN SOCIETY OF COMPUTATIONAL FLUIDS ENGINEERING)

  • 이경록;김규홍
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2007년도 추계 학술대회논문집
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    • pp.209-213
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    • 2007
  • This paper presents the high order conservative interpolation methods. This method has been successfully implemented into a cell-centered finite volume methods code. Results using high order and maintaining conservation interpolation method are more accurate compared to bilinear interpolation.

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타원 섬유가 포함된 복합재료에서의 탄성 해석 (Elastic Analysis in Composite Including Multiple Elliptical Fibers)

  • 이정기
    • Composites Research
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    • 제24권6호
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    • pp.37-48
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    • 2011
  • 체적 적분방정식법(Volume Integral Equation Method)이라는 새로운 수치해석 방법을 이용하여, 서로 상호작용을 하는 등방성 또는 이방성 타원 함유체를 포함하는 등방성 무한고체가 정적 인장하중을 받을 때 무한고체 내부에 발생하는 응력분포 해석을 매우 효과적으로 수행하였다. 즉, 등방성 기지에 다수의 등방성 또는 이방성 타원 함유체의 중심이 1) 정사각형 배열 형태 또는 2) 정육각형 배열 형태로 포함되어 있는 경우에, 다양한 타원을 포함하는 원형 실린더 함유체의 체적비에 대하여, 중앙에 위치한 타원 함유체와 등방성 기지의 경계면에서의 인장응력 분포의 변화를 구체적으로 조사하였다. 또한, 체적 적분방정식법을 이용한 해를 유한요소법을 이용한 해 및 해석해와 비교해 봄으로서, 체적 적분방정식법을 이용하여 구한 해의 정확도를 검증하였다.

왕복동 압축기에서의 고효율, 저소음 흡입머플러 개발 (Smart Suction Muffler for a Reciprocating Compressor)

  • 주재만;최진규;오상경;박성우
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.1429-1436
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    • 2000
  • Suction muffler is one of the important component of a compressor for low noise level and high efficiency. The suction muffler which has the complicated flow path gives the higher transmission loss of sound, but lower efficiency of compressor results from the superheating effect and flow loss in suction flow path. It is shown that the computational analysis of fluid dynamics are very popular methods for designing of high performance and low noise suction muffler. To reduce the thermodynamic and flow loss in suction process, the flow path of suction muffler was estimated by FVM(Finite Volume Method) and verified by experiments. And to enlarge the transmission loss of sound, the acoustic properties inside the suction muffler was analyzed by FEM(Finite Element Method) and experiments. The smart muffler which gives a good efficiency and low noise character was developed by using those methods, and the effect was evaluated in compressor by experiment.

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Quasi-3D static analysis of two-directional functionally graded circular plates

  • Wu, Chih-Ping;Yu, Lu-Ting
    • Steel and Composite Structures
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    • 제27권6호
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    • pp.789-801
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    • 2018
  • A weak-form formulation of finite annular prism methods (FAPM) based on Reissner's mixed variational theorem (RMVT), is developed for the quasi three-dimensional (3D) static analysis of two-directional functionally graded (FG) circular plates with various boundary conditions and under mechanical loads. The material properties of the circular plate are assumed to obey either a two-directional power-law distribution of the volume fractions of the constituents through the radial-thickness surface or an exponential function distribution varying doubly exponentially through it. These FAPM solutions of the loaded FG circular plates with both simply-supported and clamped edges are in excellent agreement with the solutions obtained using the 3D analytical approach and two-dimensional advanced plate theories available in the literature.

Post-buckling finite strip analysis of thick functionally graded plates

  • Hajikazemi, M.;Ovesy, H.R.;Assaee, H.;Sadr, M.H.
    • Structural Engineering and Mechanics
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    • 제49권5호
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    • pp.569-595
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    • 2014
  • In this paper, a novel semi-energy finite strip method (FSM) is developed based on the concept of first order shear deformation theory (FSDT) in order to attempt the post-buckling solution for thin and relatively thick functionally graded (FG) plates under uniform end-shortening. In order to study the effects of through-the-thickness shear stresses on the post-buckling behavior of FG plates, two previously developed finite strip methods, i.e., semi-energy FSM based on the concept of classical laminated plate theory (CLPT) and a CLPT full-energy FSM, are also implemented. Moreover, the effects of aspect ratio on initial post-buckling stiffness of FG rectangular plates are studied. It has been shown that the variation of the ratio of initial post-buckling stiffness to pre-buckling stiffness ($S^*/S$) with respect to aspects ratios is quite independent of volume fractions of constituents in thin FG plates. It has also been seen that the universal curve representing the variation of ($S^*/S$) with aspect ratio of a FG plate demonstrate a saw shape curve. Moreover, it is revealed that for the thin FG plates in contrast to relatively thick plates, the variations of non-dimensional load versus end-shortening is independent of ceramic-metal volume fraction index. This means that the post-buckling behavior of thin FG plates and the thin pure isotropic plates is similar. The results are discussed in detail and compared with those obtained from finite element method (FEM) of analysis. The study of the results may have a great influence in design of FG plates encountering post-buckling behavior.

Application of graded harmonic FE in the analysis of 2D-FGM axisymmetric structures

  • Karakas, Ali I.;Daloglu, Ayse T.
    • Structural Engineering and Mechanics
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    • 제55권3호
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    • pp.473-494
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    • 2015
  • A graded harmonic finite element formulation based on three-dimensional elasticity theory is developed for the structural analysis of 2D functionally graded axisymmetric structures. The mechanical properties of the axisymmetric solid structures composed of two different metals and ceramics are assumed to vary in radial and axial directions according to power law variations as a function of the volume fractions of the constituents. The material properties of the graded element are calculated at the integration points. Effects of material distribution profile on the static deformation, natural frequency and dynamic response analyses of particular axisymmetric solid structures are investigated by changing the power law exponents. It is observed that the displacements, stresses and natural frequencies are severely affected by the variation of axial and radial power law exponents. Good accuracy is obtained with fewer elements in the present study since Fourier series expansion eliminates the need of finite element mesh in circumferential direction and continuous material property distribution within the elements improves accuracy without refining the mesh size in axial and radial directions.

Flux Linkage Calculation for 3-D Finite Element Analysis

  • Im, Chang-Hwan;Jung, Hyun-Kyo;Kim, Hong-Kyu
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제12B권1호
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    • pp.13-18
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    • 2002
  • Novel method to calculate flux linkage for 3-D finite element analysis is proposed. It does not require any integral path if the current direction in a coil is known. The flux linkage can be calculated very easily using simple volume based integration. The current direction is calculated based on the recently developed technique by the authors. The novel method for flux linkage calculation is verified by applying to a very complicated deflection yoke coil. The simulation result is compared to the experimental one. From the simulation, it is shown that the proposed method is very accurate and effective to calculate the flux linkage of a coil.

입자보강 복합재료에서 크기효과 -Size-Dependent 소성역학 (The Size Effect in Particulate Composite Materials - Size - Dependent Plasticity)

  • 김승호;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2005년도 춘계학술대회 논문집
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    • pp.167-170
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    • 2005
  • This paper briefly reviews various existing methods to account for the effect of particle size on mechanical properties of particulate metal matrix composites. A simple and easy method is to use a size-dependent constitutive equation for the matrix. The suggested method does not require the development of a new computational algorithm and is compatible with any standard finite element software. Finite element analyses have been carried out to show how the deformation behavior of a metal matrix composite changes as the particle size and volume fraction are varied.

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