• Title/Summary/Keyword: finite difference/finite volume method

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슬릿 케이슨을 통과하는 불규칙파의 변형 (Transformation of Irregular Waves Propagating through Slit Caisson)

  • 민현성;조용식
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2007년도 정기총회 및 학술발표대회
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    • pp.159-162
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    • 2007
  • The numerical efforts are presented for investigation of irregular waves passing a slit cassion and a warock block breakwater. In the numerical model, the Reynolds equations are solved by a finite difference method and $k-\varepsilon$ model is employed for the turbulence analysis. To track the free surface displacement, the volume of fluid method(VOF) is employed. Numerical predictions of reflection and transmission coefficients are compared with those of the warock block breakwater with the slit caisson. Energy dissipation and seawater exchange rates of the slit caisson are better than those of the warock block breakwater.

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SIMPLE Algorithm을 이용한 화재실의 열 유체의 수치해석 (Numerical Analysis of Heat Flow in Fire Compartment using SIMPLE Algorithm)

  • 김광선;손봉세
    • 한국화재소방학회논문지
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    • 제6권1호
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    • pp.17-22
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    • 1992
  • We have derived the general transfer equation for governing the continuity, energy transfer, mass and momentum transfer, and turbulent energy dissipation rate within the fire compartment which has the 800t fire source at the center of the floor. The governing transfer equations have been descretized using the finite volume approach and numerically experimented under the SIMPLE algorithm. In order for the SIMPLE algorithm approach to be physically reliable, the test results are compared with those of Morita's SOR Method using Conjugate Residual Method and found to be close to physical values though the computational convergence time still remains to be upgraded. The treatment of source terms in the system of finite difference equations has been critical in order to converge the governing equations within the appropriate time steps. The criteria of convergence allowance for the whole domain have been checked and the sudden change of the non-linear effects from the source term have been avoided. The criteria has been allowed to be for 5$\times$10$^{-5}$ .

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Nonlinear behavior of fiber reinforced cracked composite beams

  • Akbas, Seref D.
    • Steel and Composite Structures
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    • 제30권4호
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    • pp.327-336
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    • 2019
  • This paper presents geometrically nonlinear behavior of cracked fiber reinforced composite beams by using finite element method with and the first shear beam theory. Total Lagrangian approach is used in the nonlinear kinematic relations. The crack model is considered as the rotational spring which separate into two parts of beams. In the nonlinear solution, the Newton-Raphson is used with incremental displacement. The effects of fibre orientation angles, the volume fraction, the crack depth and locations of the cracks on the geometrically nonlinear deflections of fiber reinforced composite are examined and discussed in numerical results. Also, the difference between geometrically linear and nonlinear solutions for the cracked fiber reinforced composite beams.

Performance of non-prismatic simply supported prestressed concrete beams

  • Raju, P. Markandeya;Rajsekhar, K.;Sandeep, T. Raghuram
    • Structural Engineering and Mechanics
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    • 제52권4호
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    • pp.723-738
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    • 2014
  • Prestressing is the most commonly employed technique in bridges and long span beams in commercial buildings as prestressing results in slender section with higher load carrying capacities. This work is an attempt to study the performance of a minimum weight prestressed concrete beam adopting a non-prismatic section so that there will be a reduction in the volume of concrete which in turn reduces the self-weight of the structure. The effect of adopting a non-prismatic section on parameters like prestressing force, area of prestressing steel, bending stresses, shear stresses and percentage loss of prestress are established theoretically. The analysis of non-prismatic prestressed beams is based on the assumption of pure bending theory. Equations are derived for dead load bending moment, eccentricity, and depth at any required section. Based on these equations an algorithm is developed which does the stress checks for the given section for every 500 mm interval of the span. Limit state method is used for the design of beam and finite difference method is used for finding out the deflection of a non-prismatic beam. All the parameters of nonprismatic prestressed concrete beams are compared with that of the rectangular prestressed concrete members and observed that minimum weight design and economical design are not same. Minimum weight design results in the increase in required area of prestressing steel.

不規則 粗面에서 저입사각 후방산란에 관한 수치해석 (A Numerical Study of Low Grazing Angle Backscattering from Random Rough Surfaces)

  • Kwang-Yeol Yoon
    • 한국전자파학회논문지
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    • 제13권6호
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    • pp.590-598
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    • 2002
  • 맥스웰방정식의 직접해인 FVTD(Finite Volume Time Domain)법을 이용하여, 저입사시의 불규칙 조면에서의 전자파 산란 문제를 수치해석 하였다. FVTD댑은 복잡한 구조의 전자파의 산란문제에 대해서 개발된 시간영역에 의한 수치해석법이며, 종래의 FDTD(Finite Difference Time Domain)법 보다 임의형태의 경계문제를 쉽게 다룰 수 있는 이점을 가지고 있다. 그러나 산란물체의 형태가 아주 복잡하고 정도를 문제삼을 경우 FVTD법에서는 셀 사이즈(cell size)를 충분히 세분화 할 필요가 있다. 그 경우 셀 사이즈에 의한 수치해의 수속성을 검토하고, 외삽법(extrapolation method)을 이용해서 간단하고 정확한 후방산란계수를 측정하는 방안을 제시했다. 더욱이 취급하는 편파의 상이를 특징짖는 레이다 단면적의 편파비에 대해서 입사각(grazing angle) 이 10도 이하의 해면 레이다의 실험결과와 비교하여, FVTD법의 수치계산 결과가 실측치와 잘 일치하는 결과를 제시했다.

전동차용 견인전동기의 열유동 특성에 관한 전산해석 (Numerical Analysis on Heat Transfer and Fluid Flow Characteristics of Traction Motor for Electric Car)

  • 남성원;김영남;채준희
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 1998년도 추계학술대회 논문집
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    • pp.137-143
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    • 1998
  • Numerical simulation is conducted to clarify the heat transfer and fluid flow characteristics of traction motor for electric car SIMPLE algorithm based on finite volume method is used to make linear algebra equation. The governing equations are solved by TDMA(TriDiagonal Matrix Algorithm) with line-by-line method and block correction. From the results of simulation, the characteristics of cooling pattern is strongly affected by the size of hole in stator core. In the case of high rotational speed of rotor, temperature difference along the axial direction is more decreased than that of low rotational speed.

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전자파 확산방식을 이용한 잔향실 내부의 필드 분포 해석 (Electromagnetic Field Distribution Analysis on Reverberation Chamber using Electromagnetic Diffusion Method)

  • 이광순;이중근;정삼영
    • 한국전자파학회논문지
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    • 제11권5호
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    • pp.839-848
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    • 2000
  • 본 논문은 전자파 장해 및 복사내성 측정에 사용되는 전자파 무반사실의 대용 방법으로 활용될 수 있는 전자파 잔향실의 전자기장 특성에 관하여 연구하였다. 체적이 동일한 직사각형 및 삼각형 구조의 잔향실 내부 필드균일성을 확보하기 위하여 Shroeder diffuser 방식을 적용하였으며, FDTD(Finite-Difference Time-Domain) 방법을 사용하여 잔향실 내부의 필드 특성을 조사하였다. 앞에서 언급한 두 가지 형태의 잔향실 내부에서 필드 특성을 조사하기 위해 시험공간 내의 75% 샘플을 가지고 분석하였다. 직사각형 잔향실의 경우 최대 $\pm$3dB, 삼각형 잔향실의 경우 최대 $\pm$4.4dB 내의 tolerance를 나타내었으며, 또한 직사각형 잔향실의 경우 편파에 대해서도 독립적이라는 결과를 얻을 수 있었다.

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유한차분법과 유한체적법을 이용한 1차원과 2차원 개수로 흐름해석 (Analysis of 1D and 2D Flows in Open-Channel with FDM and FVM)

  • 김만식;이진희;정찬;박노혁
    • 한국습지학회지
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    • 제10권2호
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    • pp.67-79
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    • 2008
  • 하천에서의 부정류 해석을 위해서 1차원 유한차분법(FDM)인 Abbott-Ionescu scheme과 2차원 유한체적법(FVM)인 근사의 Riemann solver(Osher scheme)에 대하여 살펴보았다. 두 모형은 직선 하도, 약간 굽어진 사행하도 및 사행하도에서의 흐름 문제들에 적용되었으며 결과의 비교는 균일한 직사각형 수로에 대하여 이루어졌다. 하천의 복잡한 형상의 표현하기 위해서는 이를 고려할 수 있는 유한체적법을 이용하였다. 유한차분법과 유한체적법 결과는 수위 및 유량 수문곡선에 대하여 매우 만족스러운 것으로 나타났다. 균일한 직선하도에 대해서는 1차원분석으로도 충분하다는 사실을 파악할 수 있었으며, 사행하도의 경우 흐름을 정확하게 모형화하기 위해서는 2차원 또는 3차원 모형을 사용하여야 할 것이다.

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원판(圓板)의 열판건조(熱板乾燥)에서 컴퓨터 시뮬레이션에 의한 내부온도(內部溫度)와 함수율(含水率) 분포모형(分布模型) (Distribution Model Based on Computer Simulation for Internal Temperature and Moisture Content in Press Drying of Tree Disks)

  • 여환명;정희석
    • Journal of the Korean Wood Science and Technology
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    • 제22권2호
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    • pp.61-70
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    • 1994
  • This study was executed to find the applicability of press drying of tree disk by investigating the shrinkage and drying defect and to form appropriate model by comparing the actual moisture content(MC) and internal temperature in respect of drying time with calculated values based computer simulation to which was applied finite difference method. In press drying disk, heating period, constant drying rate period maintained plateau temperature at 100$^{\circ}C$ and falling drying rate period were significantly distinguished. Actual MC and internal temperature were analogous to those calculated at comparing points. Heat transfer model formed by Fourier's law using specific heat of moist wood and conduction coefficient considering fractional volume of each element of wood cell wall, bound water, free water and air showed applicability as basic data to developing heat expansion, shrinkage and drying stress during press drying. Also mass transfer model formed by Fick's diffusion law using water vapor diffusion coefficient showed applicability. Longitudinal shrinkage was developed by pressure of hot press and tangential shrinkage was restrained by hygrothermal recovery. The heart check, surface check and ring failure were occurred differently in species, but V-shaped crack didn't develop.

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Numerical simulation of single-phase two-components flow in naturally fractured oil reservoirs

  • Debossam, Joao Gabriel Souza;dos Santos Heringer, Juan Diego;de Souza, Grazione;Souto, Helio Pedro Amaral
    • Coupled systems mechanics
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    • 제8권2호
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    • pp.129-146
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    • 2019
  • The main goal of this work is to develop a numerical simulator to study an isothermal single-phase two-component flow in a naturally fractured oil reservoir, taking into account advection and diffusion effects. We use the Peng-Robinson equation of state with a volume translation to evaluate the properties of the components, and the discretization of the governing partial differential equations is carried out using the Finite Difference Method, along with implicit and first-order upwind schemes. This process leads to a coupled non-linear algebraic system for the unknowns pressure and molar fractions. After a linearization and the use of an operator splitting, the Conjugate Gradient and Bi-conjugated Gradient Stabilized methods are then used to solve two algebraic subsystems, one for the pressure and another for the molar fraction. We studied the effects of fractures in both the flow field and mass transport, as well as in computing time, and the results show that the fractures affect, as expected, the flow creating a thin preferential path for the mass transport.