• Title/Summary/Keyword: Navier-Stokes방정식

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Numerical Calculation of Viscous Flows for Two HSVA Tankers (HSVA 두 탱커 선형에 대한 점성유동 계산)

  • Kwak, Young-Ki
    • Journal of Ocean Engineering and Technology
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    • v.13 no.2 s.32
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    • pp.138-146
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    • 1999
  • The viscous flow around a ship hull is calculated by the use of RANS(Reynolds-averaged Navier-Stokes) solver. Reynolds stresses are midelled by using the k-${epsilon}$ turbulence model and the law is applied near the body. Body fitted corrdinates are introduced for the treatment of the complex boundary of the ship hull form and the governing equations in the physical domain transformed into ones in the computational domain. The transformed equations are numerically solved by an employment of FVM(Finite Volume Method). SIMPLE(Semi-Implicit Pressure Linked Equation) method is adopted in the calculation of pressure and the solution of the sidcretized equation is obtained by the line-by-line method with the use of TDMA(Tri-Diagonal Matrix Algorithme). To assure the proprietty of this computing method, HSVA tanker and Dyne hull are calculated ar both model and ship scale Reynolds number. Their reaults of pressure distributions on fore and aft body, axial velocity contours and transverse velocity velocity vectors and viscous resistance coefficients are compared with other's experiments and calculations.

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Design and Performance Analysis of Ducted Propulsor for Underwater Robot (수중로봇용 덕트 추진기의 설계 및 성능해석)

  • Kim, Kyung-Jin;Lee, Doo-Hyoung;Park, Warn-Gyu;Park, Han-Il
    • Journal of Ocean Engineering and Technology
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    • v.26 no.6
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    • pp.39-45
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    • 2012
  • Underwater robots are generally used for the construction of seabed structures, deep-sea ecosystem research, ocean energy development, etc. A ducted marine propulsor is widely used for the thruster of an underwater robot because of its collision protection, efficiency increase, cavitation reduction, etc. However, the flow of a ducted propeller is very complex because it involves strong flow interactions between the blade impeller and duct. The present work aimed to design a ducted propeller using 2-D strip theory and CFD analysis. The hydrodynamic forces (i.e. and ) were computed to set the local angle of attack in a spanwise direction of the propeller blade. After the propeller design, performance coefficients such as the thrust, torque, and efficiency were computed to check whether the designed performance was achieved. To validate the present analysis, the thrust was compared with experimental data and good agreement was obtained.

Study on the Solution of Reinitialization Equation for Level Set Method in the Simulation of Incompressible Two-Phase Flows (비압축성 2 상유동의 모사를 위한 Level Set 방법의 Reinitialization 방정식의 해법에 관한 연구)

  • Cho, Myung-Hwan;Choi, Hyoung-Gwon;Yoo, Jung-Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.32 no.10
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    • pp.754-760
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    • 2008
  • Computation of moving interface by the level set method typically requires the reinitialization of level set function. An inaccurate estimation of level set function $\phi$ results in incorrect free-surface capturing and thus errors such as mass gain/loss. Therefore, an accurate and robust reinitialization process is essential to the simulation of free-surface flows. In the present paper, we pursue further development of the reinitialization process, which evaluates level set function directly using a normal vector on the interface without solving there-distancing equation of hyperbolic type. The Taylor-Galerkin approximation and P1P1 splitting/SUPG (Streamline Upwind Petrov-Galerkin) FEM are adopted to discretize advection equation of the level set function and the incompressible Navier-Stokes equation, respectively. Advection equation and re-initialization process of free surface capturing are validated with benchmark problems, i.e., a broken dam flow and timereversed single vortex flow. The simulation results are in good agreement with the existing results.

Numerical Study of the Flow Field Around an Axisymmetric Body with Integrated Propulsors (복합추진장치가 포함된 축대칭 물체 주위유동의 수치적 연구)

  • Jong-Woo Ahn;Il-Sung Moon;Sang-Woo Pyo;Jung-Chun Suh
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.4
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    • pp.1-8
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    • 1999
  • Numerical study is carried out to investigate flow characteristics around an axisymmetric body with and without an integrated propulsor. The incompressible Reynolds-Averaged Navier-Stokes(RANS) equations are also solved using the finite volume method and the standard $k-\varepsilon$ turbulence model for turbulence closure. In order to investigate the propulsor-hull interaction, the induced velocity calculated by surface panel methods is utilized for the boundary condition at the propeller plane. The calculated results are compared to the experimental results. It is considered that the present numerical code can be used for design of an integrated propulsor.

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Effects of the Fillet Forms on the Juncture Flow (Fillet 형상이 접합부 주위의 유동에 미치는 영향)

  • Kim, Sun-Young
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.1
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    • pp.24-40
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    • 1997
  • Horseshoe vortices generated around the juncture between the ship and her appendages often lower a performance of the ship by increasing the appendage drag and making a non-uniform wake on the propeller plane. This paper investigates numerically how the fillet around the juncture of the leading edge influences the juncture flow and the appendage drag. Computation has been made by solving Navier-Stokes equations with MAC method and the flows are at the Reynolds number of 5,000. Five fillets with different height-breath ratios and curvatures are chosen as test models to find out the effects of the shape of fillets on the appendage drag and wake. Computational results show that fillets with a smaller height-breath ratio and/or with a concave curvature has smaller appendage drag and more uniform wake.

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Wave runup heights on rubble-mound breakwaters by fixed-type floating breakwaters (수면에 고정된 부유식구조물 설치에 의한 사석경사제에서의 처오름높이 분석)

  • Han, Se-Jong;Yoon, Jae-Seon;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.108-111
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    • 2012
  • 최근에 태풍 매미 등 이상 기후로 인한 기상이변이 빈번히 발생함에 따라 그에 대한 대처방안을 모색하기 위해 2005년 해양수산부에서는 지역 및 해역별 특성을 분석하여 종전 설계기준을 강화하였다. 하지만, 기존에 설계된 항만 구조물의 마루높이 및 피복재 중량 등이 새로 개정된 설계기준에 미치지 못하는 등 안전성에 대한 문제가 발생하고 있으며, 이러한 문제점을 개선하기 위해 기존 방파제를 보강하는 여러 방식이 제안되고 있다. 그 중 부유식방파제는 해수의 소통을 방해하지 않는 친환경적인 구조물로써, 연약지반에 시공이 가능하고 시공 시 오탁이 적게 발생하여 시공이 편하다는 장점을 가지고 있다. 또한 구조물의 해체 및 보강시 건설폐기물을 발생시키지 않는 친환경적인 구조물이기 때문에 새로운 방식의 대체 외곽항만구조물로 관심을 받고 있다. 이에, 본 연구에서는 사석경사제 전면에 부유식구조물을 설치하여 방파제 보강하는 방안을 제시하고자, 부유식구조물을 통과한 파랑이 사석경사제와 만나 발생하는 처오름높이를 분석하였다. 본 수치모의에서는 유체의 점성 및 난류특성을 포함하고 있는 Navier-Stokes 방정식을 그대로 해석하는 2차원 수치파동수조(CADMAS-SURF)를 이용하여 수치 모의을 수행하였다. 부유식구조물은 불투수성구조물로 수면에 고정시키는 방식을 적용하여 사석경사제의 전면에 설치하였으며, 고정된 부유식구조물의 흘수심을 변화시켜 사석경사제에서의 처오름높이를 산정하였다.

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An analytical and numerical study of a vertically-discretized wavemaker (수직다열화된 조파장치의 해석해 개발 및 수치모형 실험)

  • Son, Sangyoung;Kim, Yeulwoo;Jung, Taehwa
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.103-103
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    • 2021
  • 실험실에서의 파랑생성에 흔히 사용되는 피스톤형 조파장치는 수심에 따라 유속이 동일하게 생성된다는 제약이 있어 주로 천해파의 생성에 적합한 것으로 알려져 있다. 본 연구에서는 이러한 제약조건 없이 다양한 유속분포의 파형을 생성하는 수직 다열화된 조파장치가 개발되었다. 우선, 수심방향으로 이산화된 각 패들(paddle)의 스트로크에 대해 선형해석해가 유도되었다. 개발된 해석해는 패들의 수 및 유속분포에 따라 기존의 피스톤형 혹은 플랩형 조파장치 해석해로 근사함이 밝혀짐으로써 포괄적으로 활용될 수 있음이 확인되었다. 즉 개발된 해석해를 활용하면 선택적으로 피스톤형 및 플랩형 조파성능이 구현될 수 있다. 더불어 개발된 해석해는 다상유체의 내부파 생성에도 확정되어 적용가능함이 확인되었다. 다음으로, 개발된 조파장치를 수치적으로 구현하였다. 오픈소스 3차원 수치모형인 OpenFOAM 중, 두 개 이상의 불연속 및 비압축 유체에 대한 Navier-Stokes 방정식을 해결하는 수치 모듈을 사용하여 제안된 수직다열화된 조파장치의 성능이 평가되었다. 이때 동적격자모델(olaDyMFlow)을 결합함으로써 개발된 조파장치 움직임이 물리적 조파장치와 흡사하도록 수치적으로 구현하였다. 모의결과, 여러 개의 다열화된 패들이 층류 흐름 조건에서 심해파를 효율적으로 생성시키고, 중간수심 파랑조건에서는 제안된 조파장치가 상대적으로 덜 유리함을 확인할 수 있었다. 마지막으로 공기, 기름 및 물 등 3상의 흐름조건에서 단 두 개의 패들을 활용하여 각각 내부파 및 표면파를 생성하되었으며, 모의 결과는 해석해과 비교됨으로써 개발된 조파장치의 성능이 검증되었다.

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Analysis of Contaminant Transport in the Ground using the Lattice-Boltzmann Method (격자 볼츠만 방법에 의한 지반 내 오염물질의 거동 분석)

  • Kang, Dong Hun;Yun, Tae Sup
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.6C
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    • pp.267-274
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    • 2012
  • The conventional approach to evaluate the contaminant transport in soils adopts the macro-scale implementation while the pore configuration and network is a dominant factor to determine the fate of contaminant. However, the observation of fate and transport at pore scale may not be readily approachable because of the computational expenses to solve Navier-Stokes equation. We herein present the 2D Lattice-Boltzmann method that enables to assess the local fluid velocity and density efficiently for the case of single phase and multi-components. The solute fate spatio-temperal space is explicitly determined by the advection of fluid flow. Two different types of idealized pore space provides the path of fluid. Also, solute transport, the velocity field and average concentration of solute are computed in steady state. Results show that the pore geometry such as tortuosity mainly affect the solute fate. It highlights the significance of the pore configuration and shape in granular soils and rock discontinuity in spite of the equivalent porosity.

Effect of Bifurcation Angle on Blood Flow in Flexible Carotid Artery (유연한 경동맥 분지관에서 분지각이 혈액의 유동에 미치는 영향에 관한 연구)

  • Lee, Sang Hoon;Choi, Hyoung Gwon;Yoo, Jung Yul
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.37 no.3
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    • pp.229-235
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    • 2013
  • To investigate the effect of the flexible artery wall on the blood flow, three-dimensional numerical simulations were carried out for analyzing the time-dependent incompressible flows of Newtonian fluids constrained by a flexible wall. The Navier-Stokes equations for fluid flow were solved using the P2P1 Galerkin finite element method, and mesh movement was achieved using an arbitrary Lagrangian-Eulerian formulation. The Newmark method was employed for solving the dynamic equilibrium equations for the deformation of a linear elastic solid. To avoid complexity due to the necessity of additional mechanical constraints, we used a combined formulation that includes both the fluid and structure equations of motion to produce a single coupled variational equation. The results showed that the flexibility of the carotid wall significantly affects flow phenomena during the pulse cycle. The flow field was also found to be strongly influenced by the bifurcation angle.

Flow Rate Prediction of Pneumatic Pipe System Using Concept of Conductance (컨덕턴스의 개념을 사용한 공압관 시스템의 유량 예측)

  • Kim, Jin-Hyeon;Deng, Ruoyu;Kim, Heuy-Dong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.38 no.5
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    • pp.431-436
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    • 2014
  • Conductance is a concept contrary to flow resistance and is extensively used as a flow index on how easily fluid is transported through a pneumatic pipe or fluid device. However, research on flow conductance is very rare to date, and a systematic investigation is needed for the standardization of pneumatic devices. In the present study, a computational fluid dynamics method was applied to solve the compressible Navier-Stokes equations with two-equation turbulence models. The present CFD results were validated with existing experimental data. The conductance values and friction factors at the inlet and outlet of a pneumatic pipe were used to assess the flow rates. The present results showed that the conductance depends on the pressure ratio at the inlet and outlet of a pipe.