• Title/Summary/Keyword: 나비에스톡스 방정식

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2차원 비압축성 점성유동에 관한 무격자법 기반의 수치해석 (NUMERICAL STUDY ON TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOW BASED ON GRIDLESS METHOD)

  • 정세민;박종천;허재경
    • 한국전산유체공학회지
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    • 제14권4호
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    • pp.93-100
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    • 2009
  • The gridless (or meshfree) methods, such as MPS, SPH, FPM an so forth, are feasible and robust for the problems with moving boundary and/or complicated boundary shapes, because these methods do not need to generate a grid system. In this study, a gridless solver, which is based on the combination of moving least square interpolations on a cloud of points with point collocation for evaluating the derivatives of governing equations, is presented for two-dimensional unsteady incompressible Navier-Stokes problem in the low Reynolds number. A MAC-type algorithm was adopted and the Poission equation for the pressure was solved successively in the moving least square sense. Some typical problems were solved by the presented solver for the validation and the results obtained were compared with analytic solutions and the numerical results by conventional CFD methods, such as a FVM.

이산화된 Navier-Stokes 방정식의 영역분할법을 위한 병렬 예조건화 (Parallel Preconditioner for the Domain Decomposition Method of the Discretized Navier-Stokes Equation)

  • 최형권;유정열;강성우
    • 대한기계학회논문집B
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    • 제27권6호
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    • pp.753-765
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    • 2003
  • A finite element code for the numerical solution of the Navier-Stokes equation is parallelized by vertex-oriented domain decomposition. To accelerate the convergence of iterative solvers like conjugate gradient method, parallel block ILU, iterative block ILU, and distributed ILU methods are tested as parallel preconditioners. The effectiveness of the algorithms has been investigated when P1P1 finite element discretization is used for the parallel solution of the Navier-Stokes equation. Two-dimensional and three-dimensional Laplace equations are calculated to estimate the speedup of the preconditioners. Calculation domain is partitioned by one- and multi-dimensional partitioning methods in structured grid and by METIS library in unstructured grid. For the domain-decomposed parallel computation of the Navier-Stokes equation, we have solved three-dimensional lid-driven cavity and natural convection problems in a cube as benchmark problems using a parallelized fractional 4-step finite element method. The speedup for each parallel preconditioning method is to be compared using upto 64 processors.

사각 탱크 내 슬로싱 해석을 위한 입자법 시뮬레이션 (Particle-based Simulation for Sloshing in a Rectangular Tank)

  • 황성철;이병혁;박종천;성홍근
    • 한국해양공학회지
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    • 제24권5호
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    • pp.31-38
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    • 2010
  • The Floating storage and re-gasification unit (FSRU), which has large cargo storage tanks, is a floating liquefied natural gas (LNG) import terminal. The sloshing motion in tanks that are partially filled with LNG can cause impact pressure on the containment system and affect the global motion of the FSRU. Therefore, the accurate prediction of sloshing motion has been a significant issue in the offshore gas production industry. In this paper, a particle method based on the moving particle semi-implicit (MPS) method proposed by Koshizuka and Oka (1996) has been modified to predict sloshing motion accurately in a rectangular tank with the filling ratio of water. The simulation results, including the violent sloshing of the fluid, were validated by comparison with the original MPS method.

경사면을 갖는 월파형 구조물 주위의 비선형성 자유표면류의 수치 시뮬레이션 (Numerical Simulation of Fully Nonlinear Free-Surface Flow around Seawall with Slope)

  • 박종천;박동인;이상범;홍기용;서성부
    • 한국해양공학회지
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    • 제19권3호
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    • pp.18-24
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    • 2005
  • Wave overtopping is one of the most important processes for the design of seawalls. The term "wave overtopping" is used here to refer to the processes where waves hit a sloping structure run up the slope and, if the crest level of the slope is lower than the highest run up level, overtop the structure. Wave overtopping is dependent on the processes associated with breaking wave. A numerical model based on Navier-Stokes equation and the Marker-density function for predicting wave overtopping of coastal structures is developed in this paper. In order to evaluate the present model, two simulations are tested. One is overflow without waves at vertical seawall, and the other is wave overtopping at sloping seawalls.

강제 대류가 있는 열소산 구조물의 구조최적설계 (Structural Optimization of Heat Dissipating Structure with Forced Convection)

  • 윤길호;강남철
    • 한국추진공학회지
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    • 제13권1호
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    • pp.51-57
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    • 2009
  • 이 연구 논문에서는 위상최적화 방법을 사용하여 강제대류를 이용한 열소산하는 구조물을 설계하는 방법을 개발한다. 전기 부품이나 기계구조물에서 발생하는 열을 낮추기 위해서 자연 대류와 강제 대류가 넓게 사용되고 있다. 또한 현재에는 화학전지(Fuel cell)나 로켓의 추진기관 등에서 발생한 열을 낮추기 위해서 강제 대류를 사용하고 있다. 현재에 이런 시스템을 효과적으로 열을 소산시키기 위해서 유동의 채널을 설계하는 것이 아주 중요한 이슈로 다루어지고 있다. 따라서 이 논문에서는 위상최적화 기법을 사용하여 최적의 채널을 설계하는 연구를 수행한다. 대류 현상을 고려하기 위해서 비압축성 N-S 방정식의 해석을 수행하였다. 이 논문에서는 열과 유체가 연계되어 있는 시스템을 수치적으로 연구하고 강제대류를 고려하는 최적의 채널 설계 결과를 제시한다.

낮은 레이놀즈 수에서 벽면에 근접하여 이동하는 실린더 주위의 유동해석 (Flow Analysis over Moving Circular Cylinder Near the Wall at Moderate Reynolds Number)

  • 곽승현
    • Journal of Advanced Marine Engineering and Technology
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    • 제36권8호
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    • pp.1091-1096
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    • 2012
  • 유한체적법을 기반으로 나비에 스톡스 방정식을 비구조격자로 풀어 실린더 주위의 공력특성을 규명하였다. 보텍스, 속도, 압력, 잔차, 항력계수 등의 데이터를 가지고 분석하였고 레이놀즈 수는 50, 100이다. 유동특성은 Re>50에서 주기적으로 진동하는 소용돌이를 후류에 형성하며 이 현상은 이동하는 실린더에서도 유사한 현상을 보여 주었다. 지면효과는 실린더 위쪽에서 형성된 소용돌이가 벽면에 근접할수록 실린더의 후방으로 길게 늘어나는 형상을 보이고, 실린더와 근접벽면 사이의 유속이 정체되어 실린더와 벽면 사이의 간격이 0.6 에서는 근접 평판과 실린더 사이의 유동이 거의 끊겨짐을 알 수 있었다. 본 수치계산의 검증을 위하여 항력계수를 타 연구결과와 비교하였다.

미세 그루브가 있는 무한폭 Slider 베어링의 윤활해석: 제1보 - 그루브 위치의 영향 (Lubrication Analysis of Infinite Width Slider Bearing with a Micro-Groove: Part 1 - Effect of Groove Position)

  • 박태조;장인규
    • Tribology and Lubricants
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    • 제35권6호
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    • pp.376-381
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    • 2019
  • Surface texturing is widely applied to reduce friction and improve the reliability of machine elements. Despite extensive theoretical studies to date, most research has been limited to parallel thrust bearings, mechanical face seals, piston rings, etc. However, most sliding bearings have a convergent film shape in the sliding direction and the hydrodynamic pressure is mainly generated by the wedge action. The results of surface texturing on inclined slider bearings are largely insufficient. This paper is the first part of a recent study focusing on the effect of the groove position on the lubrication performances of inclined slider bearings. We model a slider bearing with one rectangular groove on a fixed pad and analyze the continuity and Navier-Stokes equations using a commercial computational fluid dynamics (CFD) code, FLUENT. The results show that the film convergence ratio and the groove position have a significant influence on the pressure and velocity distributions. There are groove positions to maximize the supporting load with the film convergence ratio and the groove reduces the frictional force acting on the slider. Therefore, the proper groove position not only improves the load-carrying capacity of the slider bearings but also reduces its frictional loss. The present results apply to various surface-textured sliding bearings and can lead to further studies.

미세 그루브가 있는 무한폭 Slider 베어링의 윤활해석: 제2보 - 그루브 깊이의 영향 (Lubrication Analysis of Infinite Width Slider Bearing with a Micro-Groove: Part 2 - Effect of Groove Depth)

  • 박태조;장인규
    • Tribology and Lubricants
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    • 제35권6호
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    • pp.382-388
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    • 2019
  • It is currently well known that surface textures act as lubricant reservoirs, entrap wear debris, and hydrodynamic bearings, which can lead to certain increases in load-carrying capacities. Until recently, the vast majority of research has focused on parallel sliding machine components such as thrust bearings, mechanical face seals, piston rings, etc. However, most sliding bearings have a convergent film shape in the sliding direction and their hydrodynamic pressure is mainly generated by the wedge action. Following the first part of the present study that investigates the effect of groove position on the lubrication performances of inclined slider bearings, this paper focuses on the effects of groove depths and film thicknesses. Using a commercial computational fluid dynamics (CFD) code, FLUENT, the continuity and Navier-Stokes equations are numerically analyzed. The results show that the film thickness and groove depth have a significant influence on the pressure distribution. The maximum pressure occurs at the groove depth where the vortex is found and, as the depth increases, the pressure decreases. There is also a groove depth to maximize the supporting load with the film thickness. The friction force acting on the slider decreases with deeper grooves. Therefore, properly designed groove depths, depending on the operating conditions, can improve the load-carrying capacity of inclined slider bearings as compared to the bearings without a groove.

구조 강성에 따른 교량 구조물의 임계 플러터 속도 연구 (Study of Critical Flutter Velocities of Bridge Girder Sections with Different Structural Stiffness)

  • 박성종;권혁준;김종윤;한재흥;이인
    • 한국전산구조공학회논문집
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    • 제17권3호
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    • pp.271-278
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    • 2004
  • 본 논문에서는 토목 구조물에 대한 바람의 영향을 알아보기 위하여 수치 기법으로 해석하였다. 지간이 긴 현수교는 바람에 의한 공력탄성학적 분안정성에 놓일 수 있으므로, 설계 시 공기력은 주요한 고려사항이며 공탄성 안정성은 반드시 확인되어야 한다. 풍속이 임계 플러터 속도를 넘어서면, 교량 구조물은 바람과 상호작용에 의한 플러터 현상으로 인해 붕괴된다. 교량 단면의 공탄성 해석을 위해 전산유체역학과 전산구조해석을 이용하였으며, Navier-Stokes방정식을 사용하여 공기력을 구하였다. 본 연구에서는 구조 강성에 따른 교량 구조물의 임계 플러터 속도가 연구된다. 교량 단면의 임계 플러터 속도는 구조강성의 변화에 민감함을 확인할 수 있었다.