• 제목/요약/키워드: MAC Method Free Surface

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Numerical Study on Characteristics of Ship Wave According to Shape of Waterway Section

  • Hong Chun-Beom;Lee Sang-Min
    • Journal of Mechanical Science and Technology
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    • 제19권12호
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    • pp.2263-2269
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    • 2005
  • The ship wave phenomena in the restricted waterway were investigated by a numerical analysis. The Euler and continuity equations were employed for the present study. The boundary fitted and moving grid system was adopted to enhance the computational efficiency. The convective terms in the governing equations and the kinematic free surface boundary condition were solved by the Constrained Interpolated Profile (CIP) algorithm in order to solve accurately wave heights in far field as well as near field. The advantage of the CIP method was verified by the comparison of the computed results by the CIP and the Maker and Cell (MAC) method. The free surface flow simulation around Wigley hull was performed and compared with the experiment for the sake of the validation of the numerical method. The present numerical scheme was applied to the free surface simulation for various canal sections in order to understand the effect of the sectional shape of waterways on the ship waves. The wave heights on the side wall and the shape of the wave patterns with their characteristics of flow are discussed.

자유수면 아래서 전진하는 수중익 주위의 점성유동 해석 (A Numerical Calculation of Viscous Flow around a Hydrofoil Advancing beneath the Free Surface)

  • 박종진;정세민;이영길;이승희;홍성완
    • 대한조선학회논문집
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    • 제32권3호
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    • pp.72-82
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    • 1995
  • 본 연구에서는 자유수면 아래서 일정한 속도로 전진하는 수중익에 의한 유동현상을 수치적으로 계산하였다. 수치계산은 MAC(Marker and Cell) 방법에 기초한 Navier-Stokes방정식의 수치해석법을 이용하여 직사각형격자계에서 수행하였으며, 날개와 자유수면 부근에는 계산정도를 높이기 위하여 격자를 집중시켰다. 자유수면 파형 및 수중익 주위의 압력분포와 점성유동현상도 계산하였으며, 수중익의 잠긴 깊이에 따른 파형의 변화와, 쇄파(breaking wave)현상에 대하여서도 수치적으로 해석하였다. 또한, 선형시험수조에서 모형시험을 수행하여 깊이변화에 따른 파형을 계측하였다. 검증을 위하여 수치계산결과들을 이 실험 및 다른 실험결과들과 비교하고 계산정도를 확인하였다.

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Cubic Spline을 사용한 경계요소법 (Boundary Integral Equation Method by Cubic Spline)

  • 서승남
    • 한국해안해양공학회지
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    • 제2권1호
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    • pp.11-17
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    • 1990
  • 심해 파랑변형으로부터 형성된 Dirichlet 경계치 문제를 free space Green함수를 써서 경계적 분방정식으로 바꾸었으며 이 적분방정식을 Cubic spline 요소법을 사용하여 차분한 수치모델이 제시되었다. 유도된 제 1종 Fredholm적분방정식의 수치계산시 안정도를 높이기 위한 Hsiao와 MacCamy(1973) 방법이 사용되었다. 수치계산 결과의 검증을 위해 엄밀해가 존재하는 두 경우를 택하여 비교하였고, 본 모델의 높은 정밀도가 입증되었다.

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디지털 파랑 수조 내에서의 비선형 파랑 운동의 수치시뮬레이션 (NUMERICAL SIMULATIONS OF FULLY NONLINEAR WAVE MOTIONS IN A DIGITAL WAVE TANK)

  • 박종천;김경성
    • 한국전산유체공학회지
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    • 제11권4호
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    • pp.90-100
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    • 2006
  • A digital wave tank (DWT) simulation technique has been developed by authors to investigate the interactions of fully nonlinear waves with 3D marine structures. A finite-difference/volume method and a modified marker-and-cell (MAC) algorithm have been used, which are based on the Navier-Stokes (NS) and continuity equations. The fully nonlinear kinematic free-surface condition is implemented by the marker-density function (MDF) technique or the Level-Set (LS) technique developed for one or two fluid layers. In this paper, some applications for various engineering problems with free-surface are introduced and discussed. It includes numerical simulation of marine environments by simulation equipments, fully nonlinear wave motions around offshore structures, nonlinear ship waves, ship motions in waves and marine flow simulation with free-surface. From the presented simulations, it seems that the developed DWT simulation technique can handle various engineering problems with free-surface and reliably predict hydrodynamic features due to the fully-nonlinear wave motions interacting with such marine structures.

수치시뮬레이션에 의한 공기부양선 주위의 유동장해석과 조파저항계산 (Numerical Analysis on Flow Fields and the Calculation of Wave Making Resistance about Air Supported Ships)

  • 나영인;이영길
    • 한국전산유체공학회지
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    • 제1권1호
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    • pp.55-63
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    • 1996
  • Numerical computations are carried out to analyze the characteristics of flow fields around Air Supported Ships. The computations are performed in a rectangular grid system based on MAC(Marker And Cell) method. The governing equations are represented in finite difference forms by forward differencing in time and centered differencing in space except for its convection terms. For the certification of this numerical analysis method, the computations of flow fields around a Catamaran, an ACV(Air Cushion Vehicle) modeled with pressure distribution on free surface and two SES(Surface Effect Ship)'s are carried out, The results of the present computations are compared with the previously presented computational and experimental results in the same condition.

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Marine Analysis of WIG (Wing in Ground) and High Speed Catamaran

  • Kwag, Seung-Hyun
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2000년도 Proceeding of CIN-KIN Joint Symposium 2000 on M.E.T. Under STCW 78/95 and SINO-KOREA MARITIME CONTACT IN MID-CENTURIES
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    • pp.107-114
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    • 2000
  • Marine analysis was made to investigate the hydrodynamic effects of a Wing in Ground (WIG) by means of finite difference techniques. The air flow field around WIG is analyzed by the Marker & Cell (MAC) based method, and the interaction between WIG and the free surface are studied by showing pressure distributions above the free surface. In the latter part, computations are extended to make clear the flow characteristics of a high speed catamaran in the rang of Froude numbers 0.2 to 1.0 with a separation to length ratios of 0.2, 0.3 and 0.5. The Navier-Stokes solver is invoked in which the nonlinear free-surface boundary condition is applied. For the validation, computational results are compared with the experiments.

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Numerical Simulation of Wave Breaking Near Ship Bow

  • Lee, Young-Gill;Kim, Nam-Chul;Yu, Jin-Won;Choi, Si-Young
    • Journal of Ship and Ocean Technology
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    • 제12권1호
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    • pp.16-27
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    • 2008
  • The interaction between advancing ships and the waves generated by them plays important roles in wave resistances and ship motions. Wave breaking phenomena near the ship bow at different speeds are investigated both numerically and experimentally. Numerical simulations of free surface profiles near the fore bodies of ships are performed and visualized to grasp the general trend or the mechanism of wave breaking phenomena from moderate waves rather than concentrating on local chaotic irregularities as ship speeds increase. Navier-Stokes equations are differentiated based on the finite difference method. The Marker and Cell (MAC) Method and Marker-Density Method are employed, and they are compared for the description of free surface conditions associated with the governing equations. Extra effort has been directed toward the realization of extremely complex free surface conditions at wave breaking. For this purpose, the air-water interface is treated with marker density, which is used for two layer flows of fluids with different properties. Adaptation schemes and refinement of the numerical grid system are also used at local complex flows to improve the accuracy of the solutions. In addition to numerical simulations, various model tests are performed in a ship model towing tank. The results are compared with numerical calculations for verification and for realizing better, more efficient research performance. It is expected that the present research results regarding wave breaking and the geometry of the fore body of ship will facilitate better hull form design productivity at the preliminary ship design stage, especially in the case of small and fast ship design. Also, the obtained knowledge on the impact due to the interaction of breaking waves and an advancing hull surface is expected to be applicable to investigation of the ship bow slamming problem as a specific application.

수치시뮬레이션에 의한 공기부양선 주위의 유동장해석과 조파저항계산 (A Numerical Analysis on Flow Fields and Calculation of Pressure Resistance about an Air Supported Ship)

  • 나영인;이영길
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1995년도 추계 학술대회논문집
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    • pp.43-48
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    • 1995
  • A numerical computation is carried out to analyse characteristics of flow fields around Air Supported Ships having arbitrary form. The computations are performed in a rectangular grid system with MAC(Marker And Cell) method. The governing equations are represented in a Finite Difference form by forward differencing in time and centered differencing in space except for convection terms. For validation of this numerical analysis method, the computation of flow fields around Catamaran and ACV(Air Cushion Vehicle) with pressure distribution on free surface are done, and that around Surface Effect Ship is also carried out. The results of the computations are compared with the those of existed numerical computation and experimental results with the same condition.

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Navier-Stokes 방정식을 사용한 수평원관상의 $LiBr-H_{2}O$ 흡수특성에 대한 연구 (Parametric Study on the $LiBr-H_{2}O$ Absorption Process on Horizontal Tubes Using Wavier-Stokes Equations)

  • 민준기;최도형
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1999년도 춘계 학술대회논문집
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    • pp.213-218
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    • 1999
  • The $LiBr-H_{2}O$ absorption process on a horizontal tube has been analyzed using the numerical method which incorporates the fully elliptic Navier-Stokes equations for the momentum equations, the energy and mass-diffusion equations. On a staggered grid, the SIMPLER algorithm with the QUICK scheme is used to solve these equations along with the MAC method for the free surface tracking. With the assumption that the absorbent is linear, calculations have been made for various inlet temperature and flow-rate conditions. The detailed results of the parametric study, such as the temperature, concentration, absorption mass flux and wall heat flux distributions are presented. The self-sustained feature of the absorption process is clearly elaborated. The analyses have also been carried out for multiple tube arrangement and the results show that the absorption rate converges after a few tube rows.

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저항최소화 소형 어선선형의 선수파 특성에 관한 연구 (A Study on the Bow Wave Characteristics for the Resistance-Minimized Hull Form of Small Fishing Boat)

  • 유진원;이영길
    • 대한조선학회논문집
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    • 제45권2호
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    • pp.124-131
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    • 2008
  • This paper presents the analysis of resistance performance and bow waves for the resistance-minimized hull form of small fishing boat by using numerical simulations and model tests. The resistance-minimized hull form is developed from an original hull form which is selected from existing small fisher boats in our country. In order to estimate the resistance performance for the original and the developed hull form, several numerical simulations and model tests are carried out. Marker and Cell(MAC) method and Marker-Density method are adopted to simulate the free-surface bow waves around advancing hull surface. The results of numerical simulations are compared with the model tests in towing tank. The results show that the resistance performance of the resistance-minimized hull form is improved than that of the original hull form. The results of this study will be a good guide to the hull form development of small fishing boats in future.