• 제목/요약/키워드: nonlinear wave equation

검색결과 262건 처리시간 0.022초

정재파 열음향 냉각기의 스택 온도구배에 대한 연구 (A Study on the Stack Temperature Profile of a Standing Wave Thermoacoustic Cooler)

  • 백인수
    • 한국음향학회지
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    • 제28권1호
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    • pp.19-24
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    • 2009
  • 정재파 열음향 냉각기의 스텍에서의 온도 구배와 냉각기 효율의 관계에 대한 연구를 수행하였다. 스택에서의 로트식 (Rott Equation) 을 이용하여, 스택을 통과하는 엔탈피 플럭스의 크기가 크게 되면, 스택에서의 온도구배가 비선형의 특성을 나타내는 것을 밝혀내었다. 또한 이런 비선형의 스택 온도구배가 열음향 냉각기의 냉각 효율을 저하시키는 것을 확인하였다. 1/4 파장의 정재파 열음향 냉각기를 이용한 시뮬레이션을 통해, 특정길이의 스택에 대해 냉각 용량이 커질수록, 또한 특정냉각 용량에 대해, 스택의 길이가 길어질수록 비선형의 스택 온도구배가 크게 일어남을 알아낼 수 있었다.

Computation of Non-Linear Wave Height Distribution in the Seogwipo Harbor Using Finite Element Method

  • Kim, Nam-Hyeong;Hur, Young-Teck;Young, Yin-Lu
    • 한국해양공학회지
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    • 제17권6호
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    • pp.32-37
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    • 2003
  • In this paper, finite element method is applied for the numerical analysis of wave height distribution. The mild-slope equation is used as the basic equation. The key of this model is to impose the effect of nonlinear waves. Numerical results are presented and agreed well with the results from experimental measurements and other numerical analysis. The present method to determine wave height distribution can be broadly utilized for the analysis of new harbor and port designs in the future.

연안역 구조물 주위에서의 해빈류의 수치해석에 관한 연구 (A Study on the Numerical Model of Wave Induced Current around Nearshore Structure)

  • 민병형;이상화;김인철
    • 한국해양공학회지
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    • 제5권1호
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    • pp.55-63
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    • 1991
  • This study is to predict accurately the wave induced current accuring by the radiation stress which acts as the driving force around Nearshore structure. For the wave induced current, the depth integrated and time averaged governing equation of an unsteady nonlinear form is derived from the continuity and momentum equation of an incompressible fluid. Numerical solutions are obtained by a finite difference method for the governing equation. In the vicinity of a structure, computed flow patterns show good agreement with the hydraulic experimental data. The numerical results obtained by neglecting the convective term show a large change of alongshore and offshore current.

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2차원 진행규칙파열에서의 쇄파현상에 따른 비선형성 파의 특성에 관한 수치적 연구 (Computational Study on the Characteristics of Nonlinear Wave Caused by Breaking Waves of Two-Dimensional Regular Periodic Wave)

  • 박종천;관전수명
    • 한국해양공학회지
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    • 제10권3호
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    • pp.50-61
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    • 1996
  • The breaking phenomenon of regular periodic waves generated by a numerical wave maker is simulated by finite-difference method which can cope with strong interface motions. The air and water flows are simultaneously solved in the time-marching solution procedure for the Navier-Stokes equation. A density-function technique is devised for the implemenation of the interface conditions. The accuracy is examined and applied to the simulation of two-dimensional breaking phenomena of periodic gravity waves.

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해수교환방파제가 설치된 주문진항에서의 파고분포 해석 (The Analysis of Wave Height Distribution in the Jumunjin Fishery Port with Seawater-Exchange Breakwater)

  • 김남형;윤현철;구본수
    • 한국항해항만학회지
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    • 제34권1호
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    • pp.51-57
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    • 2010
  • 항내 정온도를 산정 할 때에는 불규칙파의 회절과 반사가 정확하게 계산되어지는 것이 중요하다. 본 연구에서 수치모형의 기본방정식은 완경사 방정식을 사용하였으며, 이는 파랑 거동에 큰 영향을 미치는 비선선형성을 고려할 수 있는 장점을 가지고 있다. 그리고, 삼각격자망은 유한요소법을 이용하여 생성되었다. 비선형성의 효과를 검증하기 위하여 본 연구에서 개발된 수치모형의 계산결과들은 다른 연구자들의 실험결과 및 수치결과와 비교되어졌다. 그 결과, 비선형성의 파랑을 고려한 경우가 고려하지 않은 경우보다 파랑해석에 더 정확하다는 것을 보여주었다. 본 모형을 적용하기 위하여 해수교환방파제가 설치되어 있는 주문진항에 파고분포가 계산되어졌다. 수치해석결과, 이상 파랑이 해수교환방파제를 통한 유입 시에 항내 파고분포의 결과들이 높게 나타났다. 그러므로, 항내 파고를 낮게 유지하기 위해서는 이상 파랑의 유입을 차단할 수 있는 시설이 필요되어질 것으로 사료된다.

LARGE AMPLITUDE THEORY OF A SHOCK-ACCELERATED INSTABILITY IN COMPRESSIBLE FLUIDS

  • Sohn, Sung-Ik
    • Korean Journal of Mathematics
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    • 제19권2호
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    • pp.191-203
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    • 2011
  • The interface between fluids of different densities is unstable under acceleration by a shock wave. A previous small amplitude linear theory for the compressible Euler equation failed to provide a quantitatively correct prediction for the growth rate of the unstable interface. In this paper, to include dominant nonlinear effects in a large amplitude regime, we present high-order perturbation equations of the Euler equation, and boundary conditions for the contact interface and shock waves.

해양환경공학의 다목적 시뮬레이션을 위한 수치파랑수조 기술 (Numerical Wave Tank Technology for Multipurpose Simulation in Marine Environmental Engineering)

  • 박종천
    • 한국해양공학회지
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    • 제17권4호
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    • pp.1-7
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    • 2003
  • A virtual reality technology for multipurpose numerical simulation is developed to reproduce and investigate a variety of ocean environmental problems in a 3D Numerical Wave Tank(NWT). The governing equations for solving incompressible fluid motion are Navier-Stokes equation and continuity equation. The Marker-Density function technique is adopted to implement the fully nonlinear freesurface kinematic condition. The marine environmental situations, i.e., waves, currents, etc., are reproduced by use of multi-segmented wavemakers on the basis of the so-called ″snake-principle″. In this paper, some numerical reproduction techniques for regular, and irregular waves, multi-directional waves, Bull's-eye wave. wave-current, and solitary wave are presented, and a model test in motion with large amplitude of roll angle is conducted in the developed 3D-NWT, using a overlaid grid system.

해안구조물과 파랑상호작용에 관한 수치모델 및 실험 (Measurement and Numerical Model on Wave Interaction with Coastal Structure)

  • 김인철
    • 한국해안·해양공학회논문집
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    • 제21권1호
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    • pp.30-38
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    • 2009
  • 최근에 해안구조물의 시공에 있어 친수성 및 방재 기능을 동시에 갖는 구조물이 검토되는 사례가 증가하고 있다. 본 연구의 목적은 비교적 급한 1:5 사면을 가진 해안구조물 위로 전파하는 파랑변형 및 파의 처오름을 예측하는 것이다. 사면 위의 파랑변형 및 처오름을 해석하기 위하여 비선형 천수방정식을 사용하였으며, 투수층 내의 유체운동에는 확장형 Forchheimer의 저항법칙에 근거한 비선형, 비정상 Darcy법칙을 적용하여 규칙파 및 불규칙파를 대상으로 수행되었고, 계산결과는 PBREAK 수치모델의 적용성 및 한계성을 검토하기 위하여 수리모형실험 결과와 비교검토 되었다. PBREAK 수치모델은 사면 위의 파형의 변화를 잘 예측하였으나 질량 및 운동량의 교환이 많이 발생하는 쇄파대 내에서 수리모형실험 결과와 약간의 차이를 보여주었다. 또한 수심평균된 수립자 유속은 파봉 부근을 제외하고 파곡 아래에서 계측한 실험치와 잘 일치하였다.

NONLINEAR FREE SURFACE CONDITION DUE TO SECOND ORDER DIFFRACTION BY A PAIR OF CYLINDERS

  • BHATTA DAMBARU D.
    • Journal of applied mathematics & informatics
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    • 제18권1_2호
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    • pp.171-182
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    • 2005
  • An analysis of the non-homogeneous term involved in the free surface condition for second order wave diffraction on a pair of cylinders is presented. In the computations of the nonlinear loads on offshore structures, the most challenging task is the computation of the free surface integral. The main contribution to this integrand is due to the non-homogeneous term present in the free surface condition for second order scattered potential. In this paper, the free surface condition for the second order scattered potential is derived. Under the assumption of large spacing between the two cylinders, waves scattered by one cylinder may be replaced in the vicinity of the other cylinder by equivalent plane waves together with non-planner correction terms. Then solving a complex matrix equation, the first order scattered potential is derived and since the free surface term for second order scattered potential can be expressed in terms of the first order potentials, the free surface term can be obtained using the knowledge of first order potentials only.

Numerical simulation of fully nonlinear sloshing waves in three-dimensional tank under random excitation

  • Xu, Gang;Hamouda, A.M.S.;Khoo, B.C.
    • Ocean Systems Engineering
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    • 제1권4호
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    • pp.355-372
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    • 2011
  • Based on the fully nonlinear velocity potential theory, the liquid sloshing in a three dimensional tank under random excitation is studied. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing scheme, B-spline curve, is applied to both the longitudinal and transverse directions of the tank to eliminate the possible saw-tooth instabilities. When the tank is undergoing one dimensional regular motion of small amplitude, the calculated results are found to be in very good agreement with linear analytical solution. In the simulation, the normal standing waves, travelling waves and bores are observed. The extensive calculation has been made for the tank undergoing specified random oscillation. The nonlinear effect of random sloshing wave is studied and the effect of peak frequency used for the generation of random oscillation is investigated. It is found that, even as the peak value of spectrum for oscillation becomes smaller, the maximum wave elevation on the side wall becomes bigger when the peak frequency is closer to the natural frequency.