• 제목/요약/키워드: finite volume

검색결과 1,929건 처리시간 0.033초

경사기능 복합재료 판의 기계적 강도해석 (Mechanical strength analysis for functionally graded composite plates)

  • 나경수;김지환
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2005년도 추계학술발표대회 논문집
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    • pp.66-69
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    • 2005
  • Mechanical strength of functionally graded composite plates that composed of ceramic, functionally graded material and metal layers is investigated using 3-D finite element method. In FGM layer, material properties are assumed to be varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The 3-D finite element model is adopted by using an IS-node solid element to analyze more accurately the variation of material properties in the thickness direction. Numerical results are compared with those of the previous works. In addition, the displacements, the tensile stresses and the compressive stresses are analyzed for the variation of FGM thickness ratio and volume fraction distribution.Mechanical strength of functionally graded composite plates that composed of ceramic, functionally graded material and metal layers is investigated using 3-D finite element method. In FGM layer, material properties are assumed to be varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The 3-D finite element model is adopted by using an IS-node solid element to analyze more accurately the variation of material properties in the thickness direction. Numerical results are compared with those of the previous works. In addition, the displacements, the tensile stresses and the compressive stresses are analyzed for the variation of FGM thickness ratio and volume fraction distribution.

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유한체적법을 기초한 레티스 볼쯔만 방법을 사용하여 직사각형 공동에서의 난류 자연대류 해석 (COMPUTATION OF TURBULENT NATURAL CONVECTION IN A RECTANGULAR CAVITY WITH THE FINITE-VOLUME BASED LATTICE BOLTZMANN METHOD)

  • 최석기;김성오
    • 한국전산유체공학회지
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    • 제16권4호
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    • pp.39-46
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    • 2011
  • A numerical study of a turbulent natural convection in an enclosure with the lattice Boltzmann method (LBM) is presented. The primary emphasis of the present study is placed on investigation of accuracy and numerical stability of the LBM for the turbulent natural convection flow. A HYBRID method in which the thermal equation is solved by the conventional Reynolds averaged Navier-Stokes equation method while the conservation of mass and momentum equations are resolved by the LBM is employed in the present study. The elliptic-relaxation model is employed for the turbulence model and the turbulent heat fluxes are treated by the algebraic flux model. All the governing equations are discretized on a cell-centered, non-uniform grid using the finite-volume method. The convection terms are treated by a second-order central-difference scheme with the deferred correction way to ensure accuracy and stability of solutions. The present LBM is applied to the prediction of a turbulent natural convection in a rectangular cavity and the computed results are compared with the experimental data commonly used for the validation of turbulence models and those by the conventional finite-volume method. It is shown that the LBM with the present HYBRID thermal model predicts the mean velocity components and turbulent quantities which are as good as those by the conventional finite-volume method. It is also found that the accuracy and stability of the solution is significantly affected by the treatment of the convection term, especially near the wall.

충격파 모의를 위한 이차원 유한체적 비정상 흐름 모형 (Two-Dimensional Finite-Volume Unsteady-Flow Model for Shocks)

  • 이길성;이성태
    • 한국수자원학회논문집
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    • 제31권3호
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    • pp.279-290
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    • 1998
  • 충격파의 높이나 속도는 홍수제어조작이나 수로벽과 빠른 유속을 가지는 하천에서 교량의 설계에 중요한 자료가 된다. 따라서 광범위한 조건에서 흐름의 불연속면을 모의할 수 있는 수치모형이 요구된다. 본 연구에서는 천수방정식을 지배방정식으로 한 Godunov 형 유한체적법 모형을 개발하였다. Riemann 해법으로 Roe(1981)의 해법이 사용된다. 이 모형은 본 연구에서 비구조적격자(unstructured grids)를 사용하기 위해 개발된 수정 MUSCL을 도입하였다. 양해법을 쓰는 본 모형은 시간간격을 자동 계산한다. 개발된 모형을 전형적인 이차원 댐 붕괴파 모의, 수리모형 실험에서 행해진 붕괴파 모의, 그리고 수리모형 실험에서 행해진 만곡수로에서의 정상상태 모의 등에 적용하였다. 그 적용결과에 의해 다음과 같이 결론을 내었다. 1)유한체적법은, 충격파 모의를 위한 수치해석 기법인 Godunov 형 방법과 잘 결합될 수 있기 때문에 충격파를 모의하기에 적당한 방법이다. 2)수정 MUSCL과 결합된 유한체적법 모형이 충격파를 잘 포착함으로써 수정 MUSCL의 적용성이 입증되었다.

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A FINITE DIFFERENCE/FINITE VOLUME METHOD FOR SOLVING THE FRACTIONAL DIFFUSION WAVE EQUATION

  • Sun, Yinan;Zhang, Tie
    • 대한수학회지
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    • 제58권3호
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    • pp.553-569
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    • 2021
  • In this paper, we present and analyze a fully discrete numerical method for solving the time-fractional diffusion wave equation: ∂βtu - div(a∇u) = f, 1 < β < 2. We first construct a difference formula to approximate ∂βtu by using an interpolation of derivative type. The truncation error of this formula is of O(△t2+δ-β)-order if function u(t) ∈ C2,δ[0, T] where 0 ≤ δ ≤ 1 is the Hölder continuity index. This error order can come up to O(△t3-β) if u(t) ∈ C3 [0, T]. Then, in combinination with the linear finite volume discretization on spatial domain, we give a fully discrete scheme for the fractional wave equation. We prove that the fully discrete scheme is unconditionally stable and the discrete solution admits the optimal error estimates in the H1-norm and L2-norm, respectively. Numerical examples are provided to verify the effectiveness of the proposed numerical method.

지도학습 기반 분할기법을 이용한 단층 촬영된 단방향 복합재료의 유한요소모델 생성 및 검증 (Generation and Validation of Finite Element Models of Computed Tomography for Unidirectional Composites Using Supervised Learning-based Segmentation Techniques)

  • 김대의;진성원;김영배;임재혁;김윤호
    • Composites Research
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    • 제36권6호
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    • pp.395-401
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    • 2023
  • 본 연구에서는 지도학습 기반 분할기법을 이용하여 단층 촬영된 단방향 복합재료의 유한요소모델링을 실시하였다. 우선, 단방향 복합재료의 형상 정보를 얻기 위해 Micro-CT 스캔을 수행하여 단방향 복합재료의 순수 체적(raw volume)을 획득하였고 여기에 몇 개의 단면을 선택하여 재료의 마이크로 구조인 섬유의 형상을 라벨링하였다. 이후 재료의 단면 이미지와 라벨링한 이미지를 각각 입출력으로 U-net 모델을 훈련시켰다. 이를 사용하여 선택되지 않은 단층촬영 이미지를 섬유형상을 구분하는 분할을 수행하였고 이렇게 생성된 3차원 정보를 이용해서 유한요소모델을 생성하였다. 최종적으로 단방향 복합재료 시편과 유한요소모델의 섬유체적비를 비교하여 제안된 방법의 적절성을 확인하였다.

비정렬 격자상에서 Moment-of-Fluid 방법을 이용한 자유표면유동계산 (MOMENT-OF-FLUID METHOD FOR FREE SURFACE FLOW SIMULATION USING UNSTRUCTURED MESHES)

  • 안형택
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2011년 춘계학술대회논문집
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    • pp.65-67
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    • 2011
  • The moment-of-fluid (MOF) method is a new volume-tracking method that accurately treats evolving material interfaces. The MOF method uses moment data, namely the material volume fraction, as well as the centroid, for a more accurate representation of the material configuration, interfaces and concomitant volume advection. In this paper, unstructured mesh extension of the MOF method is to be presented. The MOF method is coupled with a stabilized finite element incompressible Navier-Stokes solver for two materials. The effectiveness of the MOF method is demonstrated with a free-surface dam-break problem.

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초미립자 살포기의 설계 및 구조개선 (Design and Structure Improvement of Ultra Low Volume Sprinkler)

  • 이종선
    • 한국산학기술학회논문지
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    • 제11권1호
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    • pp.43-48
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    • 2010
  • 본 논문의 목적은 액체 살포시 사용되는 초미립자 살포기에 대하여 SolidWorks를 이용하여 설계하고 3차원 유한요소해석 코드인 ANSYS를 활용하여 해석하였다. 해석결과로서 응력, 변형률과 전체 변형량을 구하였고 이를 활용하여 초미립자 살포기의 구조를 개선하였으며 이러한 방법은 생산성 향상과 설계기간을 단축할 수 있다.

병렬 컴퓨터에서 다중블록 유한체적법을 이용한 비압축성 유동해석 (Numerical Prediction of Incompressible Flows Using a Multi-Block Finite Volume Method on a Parellel Computer)

  • 강동진;손정락
    • 한국유체기계학회 논문집
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    • 제1권1호
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    • pp.72-80
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    • 1998
  • Computational analysis of incompressible flows by numerically solving Navier-Stokes equations using multi-block finite volume method is conducted on a parallel computing system. Numerical algorithms adopted in this study $include^{(1)}$ QUICK upwinding scheme for convective $terms,^{(2)}$ central differencing for other terms $and^{(3)}$ the second-order Euler differencing for time-marching procedure. Structured grids are used on the body-fitted coordinate with multi-block concept which uses overlaid grids on the block-interfacing boundaries. Computational code is parallelized on the MPI environment. Numerical accuracy of the computational method is verified by solving a benchmark test case of the flow inside two-dimensional rectangular cavity. Computation in the axial compressor cascade is conducted by using 4 PE's md, as results, no numerical instabilities are observed and it is expected that the present computational method can be applied to the turbomachinery flow problems without major difficulties.

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비정상상태 복사열전달 해석을 위한 2 차 상류스킴 및 QUICK 스킴의 유한체적복사해법 적용 연구 (Transient Radiative Heat Transfer Using Finite Volume Method with 2-Order Upwind Scheme and QUICK Scheme)

  • 변도영;이건호;김만영
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 추계학술대회
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    • pp.1294-1299
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    • 2004
  • Transient radiative heat transfer is analyzed in a one-dimensional slab using finite volume method (FVM). In this study, the step, $2^{nd}$ order upwind, and QUICK schemes are used for incident diffuse radiation and collimated beam, respectively. The results for diffuse radiation show that all schemes applied in this study give good agreements with available published results. In case of collimated beam, however, the results show deviations from the analytical solutions. To successfully describe the propagations of collimated beam, shock capturing schemes such as TVD scheme are need to be developed.

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다중격자 유한체적법에 의한 복사열전달 해석 (A Study of n Multigrid Finite-Volume Method for Radiation)

  • 김만영;변도영;백승욱
    • 대한기계학회논문집B
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    • 제27권1호
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    • pp.135-140
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    • 2003
  • The convergence of finite volume method (FVM) or discrete ordinate method (DOM) is known to degrade for optical thickness greater than unity and large scattering albedo. The present article presents a convergence acceleration procedure for the FVM based on a full approximation storage (FAS) multigrid method. Among a variety of multigrid cycles, the V-cycle is used and the full multigrid algorithm (FMG) is applied to an analysis of radiation in irregular two-dimensional geometry. Solution convergence is discussed for the several cases of various optical thickness and scattering albedo. At small scattering albedo and optical thickness, there is no advantage to using the multigrid method for calculation CPU time. For large scattering albedo greater than 0.5 and optical thickness greater than unity, however, the multigrid method improves the convergence and the solution is rapidly obtained.