• 제목/요약/키워드: Numerical analysis (SIMPLE algorithm)

검색결과 197건 처리시간 0.024초

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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비정렬격자 SIMPLE 알고리즘기반 이상유동 수치해석 기법 (NUMERICAL METHOD FOR TWO-PHASE FLOW ANALYSIS USING SIMPLE-ALGORITHM ON AN UNSTRUCTURED MESH)

  • 김종태;박익규;조형규;김경두;정재준
    • 한국전산유체공학회지
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    • 제13권4호
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    • pp.86-95
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    • 2008
  • For analyses of multi-phase flows in a water-cooled nuclear power plant, a three-dimensional SIMPLE-algorithm based hydrodynamic solver CUPID-S has been developed. As governing equations, it adopts a two-fluid three-field model for the two-phase flows. The three fields represent a continuous liquid, a dispersed droplets, and a vapour field. The governing equations are discretized by a finite volume method on an unstructured grid to handle the geometrical complexity of the nuclear reactors. The phasic momentum equations are coupled and solved with a sparse block Gauss-Seidel matrix solver to increase a numerical stability. The pressure correction equation derived by summing the phasic volume fraction equations is applied on the unstructured mesh in the context of a cell-centered co-located scheme. This paper presents the numerical method and the preliminary results of the calculations.

비정렬격자 SIMPLE 알고리즘기반 이상유동 수치해석 기법 (NUMERICAL METHOD FOR TWO-PHASE FLOW ANALYSIS USING SIMPLE-ALGORITHM ON AN UNSTRUCTURED MESH)

  • 김종태;박익규;조형규;김경두;정재준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년도 학술대회
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    • pp.71-78
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    • 2008
  • For analyses of multi-phase flows in a water-cooled nuclear power plant, a three-dimensional SIMPLE-algorithm based hydrodynamic solver CUPID-S has been developed. As governing equations, it adopts a two-fluid three-field model for the two-phase flows. The three fields represent a continuous liquid, a dispersed droplets, and a vapour field. The governing equations are discretized by a finite volume method on an unstructured grid to handle the geometrical complexity of the nuclear reactors. The phasic momentum equations are coupled and solved with a sparse block Gauss-Seidel matrix solver to increase a numerical stability. The pressure correction equation derived by summing the phasic volume fraction equations is applied on the unstructured mesh in the context of a cell-centered co-located scheme. This paper presents the numerical method and the preliminary results of the calculations.

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비정렬격자 SIMPLE 알고리즘기반 이상유동 수치해석 기법 (NUMERICAL METHOD FOR TWO-PHASE FLOW ANALYSIS USING SIMPLE-ALGORITHM ON AN UNSTRUCTURED MESH)

  • 김종태;박익규;조형규;김경두;정재준
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2008년 추계학술대회논문집
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    • pp.71-78
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    • 2008
  • For analyses of multi-phase flows in a water-cooled nuclear power plant, a three-dimensional SIMPLE-algorithm based hydrodynamic solver CUPID-S has been developed. As governing equations, it adopts a two-fluid three-field model for the two-phase flows. The three fields represent a continuous liquid, a dispersed droplets, and a vapour field. The governing equations are discretized by a finite volume method on an unstructured grid to handle the geometrical complexity of the nuclear reactors. The phasic momentum equations are coupled and solved with a sparse block Gauss-Seidel matrix solver to increase a numerical stability. The pressure correction equation derived by summing the phasic volume fraction equations is applied on the unstructured mesh in the context of a cell-centered co-located scheme. This paper presents the numerical method and the preliminary results of the calculations.

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개량된 SIMPLE알고리듬을 이용한 비압축성 자유계면유동의 수치해석 (Modified SIMPLE Algorithm for the Numerical Analysis of Incompressible Flows with Free Surface)

  • 홍준표;이진호;목진호
    • 대한기계학회논문집B
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    • 제29권5호
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    • pp.609-616
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    • 2005
  • While the SIMPLE algorithm is most widely used for the simulations of flow phenomena that take place in the industrial equipments or the manufacturing processes, it is less adopted for the simulations of the free surface flow. Though the SIMPLE algorithm is free from the limitation of time step, the free surface behavior imposes the restriction on the time step. As a result, the explicit schemes are faster than the implicit scheme in terms of computation time when the same time step is applied to, since the implicit scheme includes the numerical method to solve the simultaneous equations in its procedure. If the computation time of SIMPLE algorithm can be reduced when it is applied to the unsteady free surface flow problems, the calculation can be carried out in the more stable way and, in the design process, the process variables can be controlled based on the more accurate data base. In this study, a modified SIMPLE algorithm is presented fur the free surface flow. The broken water column problem is adopted for the validation of the modified algorithm (MoSIMPLE) and for comparison to the conventional SIMPLE algorithm.

다층 지반의 2차원 압밀 수치해석 II (2-D Consolidation Numerical Analysis of Multi_Layered Soils (II))

  • 류권일;김팔규;구기욱;남상규
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2000년도 가을 학술발표회 논문집
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    • pp.665-672
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    • 2000
  • The problems of discontinuous layer interface are very important in the algorithm and programming for the analysis of multi-layered consolidation using a numerical analysis, finite difference method(F.D,M.). Better results can be obtained by the process for discontinuous layer interface, since it can help consolidation analysis to model the actual ground Explicit method is simple for analysis algorithm and convenient for use except for applying the operator Crank-Nicolson method represents implicit method, which have different analysis method according to weighting factor. This method uses different algorithm according to dimension. And, this paper uses alternative direction implicit method. The purpose of this paper provides an efficient computer algorithm based on numerical analysis using finite difference method which account for multi-layered soils with confined aquifer to determine the degree of consolidation and excess pore pressures relative to time and positions more realistically.

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Flood Impact Pressure Analysis of Vertical Wall Structures using PLIC-VOF Method with Lagrangian Advection Algorithm

  • Phan, Hoang-Nam;Lee, Jee-Ho
    • 한국전산구조공학회논문집
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    • 제23권6호
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    • pp.675-682
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    • 2010
  • The flood impact pressure acting on a vertical wall resulting from a dam-breaking problem is simulated using a navier-Stokes(N-S) solver. The N-S solver uses Eulerian Finite Volume Method(FVM) along with Volume Of Fluid(VOF) method for 2-D incompressible free surface flows. A Split Lagrangian Advection(SLA) scheme for VOF method is implemented in this paper. The SLA scheme is developed based on an algorithm of Piecewise Linear Interface Calculation(PLIC). The coupling between the continuity and momentum equations is affected by using a well-known Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm. Several two-dimensional numerical simulations of the dam-breaking problem are presented to validate the accuracy and demonstrate the capability of the present algorithm. The significance of the time step and grid resolution are also discussed. The computational results are compared with experimental data and with computations by other numerical methods. The results showed a favorable agreement of water impact pressure as well as the global fluid motion.

Numerical Analysis of Evolution of Thermal Stratification in a Curved Piping System

  • Park, Seok-Ki;Nam, Ho-Yun;Jo, Jong-Chull
    • Nuclear Engineering and Technology
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    • 제32권2호
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    • pp.169-179
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    • 2000
  • A detailed numerical analysis of the evolution of thermal stratification in a curved piping system in a nuclear power plant is performed. A finite volume based thermal-hydraulic computer code has been developed employing a body-fitted, non-orthogonal curvilinear coordinate for this purpose. The cell-centered, non-staggered grid arrangement is adopted and the resulting checkerboard pressure oscillation is prevented by the application of momentum interpolation method. The SIMPLE algorithm is employed for the pressure and velocity coupling, and the convection terms are approximated by a higher-order bounded scheme. The thermal-hydraulic computer code developed in the present study has been applied to the analysis of thermal stratification in a curved duct and some of the predicted results are compared with the available experimental data. It is shown that the predicted results agree fairly well with the experimental measurements and the transient formation of thermal stratification in a curved duct is also well predicted.

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화재실내 자연대류의 수치해석 (Numerical Analysis of Natural Convection in Room Fire)

  • 정길순;이승만;이병곤
    • 한국화재소방학회논문지
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    • 제19권4호
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    • pp.18-25
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    • 2005
  • 자연대류유동 형태의 실내화재 해석은 Zone 모델과 Field 모델로 대별된다. Zone 모델은 화염과 연소가스로 인한 상부의 고온 연기층과 하부의 찬 공기층의 온도를 균일하게 간주하고, 실험값을 대입한 간단한 대수식으로 계산하여 간편하나 각각의 위치에 대한 온도와 유속 등을 구할 수 없다. Field모델은 해석영역을 다수의 격자로 구성하고 운동량, 에너지방정식 등을 수치해석하는 방법으로 많은 계산시간 및 컴퓨터 용량이 필요하나 각각의 위치에서의 유동 및 온도분포 등을 자세히 규명 할 수 있다. 열유동 수치해석에는 기존의 상용 프로그램들이 있어 강제대류에는 잘 적용되나, 자연대류에는 대부분 만족할 만한 결과를 주지 못하고 있다. 이에 본 연구에서는 실내화재해석의 기초연구로, 바닥면이 부분적으로 가열될 때 우측벽의 경계조건을 변화시켜 가면서 실내의 층류 자연대류로 인한 유동장과 온도장을 SIMPLE 수치해석방법을 이용하여 직접 수치해석 하였다.

A numerical model for externally prestressed beams

  • Pisani, M.A.
    • Structural Engineering and Mechanics
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    • 제4권2호
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    • pp.177-190
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    • 1996
  • A method to numerically evaluate the behaviour of single span beams, prestressed with external tendons and symmetrically loaded is presented. This algorithm, based on the Finite Difference Method, includes second order effects and large displacements in an attempt to more fully understand the behaviour of the beam up to collapse. The numerical technique discussed is particularly appropriate for the analysis of R.C. and P.C. beams rehabilitated or strengthened by means of external prestressing but it is reliable for the analysis of new beams as well.