• Title/Summary/Keyword: 동역학적 경계조건

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A Non-Hydrostatic Pressure Model and its Implementation of the Dynamic Boundary Condition (동수압 모형의 동역학적 경계조건)

  • Lee, Jong Wook;Lee, Jin Woo;Cho, Yong-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6B
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    • pp.691-696
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    • 2008
  • In this paper, a three-dimensional non-hydrostatic pressure model for free surface flows using a normalized vertical coordinate system is presented. To strongly couple the free surface and non-hydrostatic pressure in the momentum equations, a double predictor-corrector method is employed. This research is especially focused on implementing the dynamic boundary condition (a zero pressure condition) at the free surface. This boundary condition can be specified accurately with a small modification to existing models. Numerical results with and without this modification clearly show that a precise implementation of the dynamic boundary condition is paramountly important.

Application of Dynamic Boundary Condition to a Non-hydrostatic Pressure Model with Free Surface Boundary (자유수면 경계조건을 갖는 동수압 모형에서의 동역학적 경계조건의 적용)

  • Lee, Jin-Woo;Jeong, Woo-Chang;Cho, Yong-Sik
    • 한국방재학회:학술대회논문집
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    • 2010.02a
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    • pp.52.1-52.1
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    • 2010
  • 본 연구에서는 자유수면 흐름을 해석할 수 있는 연직방향에 대해 좌표변환된 3차원 동수압 모형을 제시하였다. 제시한 모형은 자유수면파 동수압의 해석을 위하여, 2중 예측-수정(double predictor-corrector)방법을 적용하였다. 본 연구에서는 자유수면과 동수압을 고려하기 위하여 자유수면 보정단계와 동수압 보정단계로 나누어 정확한 동역학적 경계조건을 적용하는 방법을 제시하였고, 제시한 모형을 이용한 수치모의 결과를 검증하기 위하여 타원형 천퇴에 의한 파의 변형에 대한 수치모의를 실시하였다. 전반적으로 수치모의 결과는 실험자료와 일치하였다.

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Application of a Non-Hydrostatic Pressure Model with Dynamic Boundary Condition to Free Surface Flow (동역학적 경계조건을 갖는 동수압 모형의 자유수면흐름에의 적용)

  • Lee, Jin-Woo;Jeong, Woo-Chang;Cho, Yong-Sik
    • Journal of the Korean Society of Hazard Mitigation
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    • v.10 no.1
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    • pp.103-109
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    • 2010
  • In this study, a three-dimensional non-hydrostatic pressure model based on a normalized vertical coordinate system for free surface flows is presented. To strongly couple the free surface and non-hydrostatic pressure with the momentum equations, a double predictor-corrector method is employed. The study is especially focused on implementing the dynamic boundary condition (a zero pressure condition) at the free surface with ignoring of the atmospheric pressure. It is shown that the boundary condition can be specified easily with a slight modification to existing models.

A Complex Velocity Boundary Element Method for Nonlinear Free Surface Problems (복소 경계요소법에 의한 비선형 자유수면문제 연구)

  • Hong, Seok Won
    • Journal of Ocean Engineering and Technology
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    • v.4 no.1
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    • pp.62-70
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    • 1990
  • Cauchy의 적분공식을 복소속도(complex velocity)에 적용하여 포텐시얼 유동을 해석하는 복소경계요소법이 개발되었다. 이 결과로 얻어지는 적분방정식은 경계면에서의 접선속도(tangential velocity)와 법선속도(normal velocity)의 함수로 주어진다. 자유수면에서의 접선속도의 시간변화(evolution of tangential velocity)를 수식화하기 위하여 새로운 비선형 동역학적 자유수면경계조건(nonlinear dynamic free surface boundary condition)을 유도하였다. 복소포텐시얼 대신 복소속도를 이용하는 이 방법은 유장내의 특이점(field singularity)을 용이하게 고려할 수 있으며, 수치미분없이 직접 경계면에서의 유속을 해로서 구하게 된다. 그러나 자유수면이 존재하는 문제의 경우에는, 자유수면에서의 동역학적 경계조건을 만족 시키기 위한 계산과정에 접선 벡타의 변화량을 추정하는 것이 포함되게 되어, 계산과정이 다소 복잡하게 된다.

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Investigation of importance of evanescent modes in predicting the transformation of waves on a varying topography by the linear wave theory (선형파 이론을 사용하여 수심 변화에 따른 파랑변형 예측 시 소멸파의 중요성 검토)

  • 이창훈;조용식;조대희
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2002.08a
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    • pp.62-65
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    • 2002
  • 파랑은 주로 먼바다에서 바람에 의해 생성되어 육지로 전파해오면서 천수, 굴절, 회절, 반사, 부서 짐 등의 여러 가지 변형의 과정을 거친다. 이러한 파랑의 변형을 예측하는 한 방법은 비압축성 유체와 비회전류의 연속방정식인 Laplace 방정식을 지배 방정식으로 하고 해수면에서의 운동학적 경계조건과 동역학적 경계 조건, 그리고 바닥에서의 운동학적 경계조건을 적용하여 해를 구한다. (중략)

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A Simplified Numerical Method for Simulating the Generation of Linear Waves by a Moving Bottom (바닥의 움직임에 따른 선형파의 생성을 모의할 수 있는 간편 수치해석 기법)

  • Jae-Sang Jung
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.2
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    • pp.41-48
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    • 2023
  • In this study, simplified linear numerical method that can simulate wave generation and transformation by a moving bottom is introduced. Numerical analysis is conducted in wave number domain after continuity equation, linear dynamic and kinematic free surface boundary conditions and linear kinematic bottom boundary condition are Fourier transformed, and the results are expressed in space domain by an inverse Fourier transform. In the wavenumber domain, the dynamic free water surface boundary condition and the kinematic free water surface boundary condition are numerically calculated, and the velocity potential in the mean water level (z = 0) satisfies the continuity equation and the kinematic bottom boundary condition. Wave generation and transformation are investigated when the triangular and rectangular shape of bottoms move periodically. The results of the simplified numerical method are compared with the results of previous analytical solutions and agree well with them. Stability of numerical results according to the calculation time interval (Δt) and the calculation wave number interval (Δk) was also investigated. It was found that the numerical results were appropriate when Δt ≤ T(period)/1000 and Δk ≤ π/100.

Fatigue Study for a Shift Fork of a Dual Clutch Transmission (듀얼클러치 변속기의 쉬프트 포크에 관한 피로해석 연구)

  • Kim, Kyounghoon;Jeong, Jongkyu;Won, Jongjin;Jeong, Jayil
    • Journal of Auto-vehicle Safety Association
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    • v.4 no.1
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    • pp.23-26
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    • 2012
  • 본 논문은 듀얼클러치 변속기 변속 메커니즘 개발을 위한 동역학적 시뮬레이션 해석 및 피로수명 해석에 관한 연구이다. 캠을 이용한 쉬프트 포크의 이송으로 기어를 변속하는 개념을 갖는 쉬프트 메커니즘의 작동성 및 설계안 검증을 위해 캠의 회전 속도, 접촉면의 경계조건 및 싱크로나이저 슬리브에서의 저항을 반영한 모델링을 구성하여 동역학적 시뮬레이션을 실시하였다. 각 파트의 응력 및 변형률 발생을 해석하여 설계 개선안을 도출하고, 개선안이 반영된 최종 시작모델의 시뮬레이션 상 최대 응력 발생 시점에서 시프트 포크의 각 접촉면 별 외력 작용을 분석하여 이를 적용한 피로 해석을 진행하였다.

Analysis of Flood Stage in a Confluence using the Dynamic Numerical Model (동역학적 수치모형을 이용한 합류부 홍수위 분석)

  • Kim, Ji Sung;Kim, Keuk Soo;Kim, Won;Kim, Sang Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.5B
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    • pp.453-461
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    • 2009
  • In this study, a dynamic numerical model, FLDWAV, is used for analyzing the backwater effect of flood stage in YeongWeol station, which is located on the confluence upstream where Pyeongchang river joins Han river. Given various inflow discharges of both main stream and tributary, the feasible stage-discharge relationships at the YeongWeol station and the upstream range of the backwater effect were computed. The results show that the relationships are completely different according to each of the inflow discharges from tributary and the maximum difference of stage is about 4.0 m. Therefore, the development of a single relationship of stage and discharge is very difficult problem in the zone of backwater effect. The increase of stage in the junction due to the lateral inflow has an effect on upstream stage up to about 8.0 km. The well-calibrated and verified dynamic wave routing model will be a useful tool for the flood forecast in the zone of backwater effect rather than conventional hydrological routing model.

Development of Analytical Solutions on Velocities of Regular Waves Generated by Bottom Wave Makers in a Flume (바닥 조파장치가 설치된 수로에서 규칙파의 유속장에 관한 해석해 개발)

  • Jung, Jae-Sang;Lee, Changhoon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.34 no.3
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    • pp.58-71
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    • 2022
  • Analytical solutions for two-dimensional velocities of regular waves generated by bottom wave makers in a flume were derived in this study. Triangular and rectangular bottom wave makers were adopted. The velocity potential was derived based on the linear wave theory with the bottom moving boundary condition, kinematic and dynamic free surface boundary conditions. Then, analytical solutions of two-dimensional particle velocities were derived from the velocity potential. The velocity potential and two-dimensional particle velocities which were derived as complex integral equations were numerically calculated. The solutions showed physically valid results as velocities of regular waves generated by bottom wave makers in a flume.

Computation of Turbulent Flow around a Ship Model with Free-Surface (자유표면을 포함한 선체주위 난류유동 해석)

  • Jung-Joong Kim;Hyoung-Tae Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.1
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    • pp.1-8
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    • 2001
  • The computations of the turbulent flow around the ship models with the free-surface effects were carried out. Incompressible Reynolds-Averaged Navier-Stokes equations were solved by using an explicit finite-difference method with the nonstaggered grid system. The method employed second-order finite differences for the spatial discretization and a four-stage Runge-Kutta scheme for the temporal integration. For the turbulence closure, a modified Baldwin-Lomax model was exploited. The location of the free surface was determined by solving the equation of the kinematic free-surface condition using the Lax-Wendroff scheme and a free-surface conforming grid was generated at each time step so that one of the grid boundary surfaces always coincides with the free surface. An inviscid approximation of the dynamic free-surface boundary condition was applied as the boundary conditions for the velocity and pressure on the free surface. To validate the computational method developed in the present study, the computations were carried out for beth Wigley and Series 60 $C_B=0.6$ ship model and the computational results showed good agreements with the experimental data.

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