• 제목/요약/키워드: random waves

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Scour below pipelines due to random waves alone and random waves plus currents on mild slopes

  • Myrhaug, Dag;Fu, Ping;Ong, Muk Chen
    • Ocean Systems Engineering
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    • 제7권3호
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    • pp.275-298
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    • 2017
  • This paper provides a practical stochastic method by which the maximum equilibrium scour depth below a pipeline exposed to random waves plus a current on mild slopes can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Battjes and Groenendijk (2000) wave height distribution for mild slopes including the effect of breaking waves, and using the empirical formulas for the scour depth on the horizontal seabed by Sumer and Fredsøe (1996). The present approach is valid for wave-dominant flow conditions. Results for random waves alone and random wave plus currents have been presented and discussed by varying the seabed slope and water depth. An approximate method is also proposed, and comparisons are made with the present stochastic method. For random waves alone it appears that the approximate method can replace the stochastic method, whereas the stochastic method is required for random waves plus currents. Tentative approaches to related random wave-induced scour cases for random waves alone are also suggested.

Scour around vertical piles due to random waves alone and random waves plus currents on mild slopes

  • Ong, Muk Chen;Myrhaug, Dag;Fu, Ping
    • Ocean Systems Engineering
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    • 제6권2호
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    • pp.161-189
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    • 2016
  • This paper provides a practical stochastic method by which the maximum equilibrium scour depth around a vertical pile exposed to random waves plus a current on mild slopes can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Battjes and Groenendijk (2000) wave height distribution for mild slopes including the effect of breaking waves, and using the empirical formulas for the scour depth on the horizontal seabed by Sumer and Fredsøe (2002). The present approach is valid for wave-dominant flow conditions. Results for random waves alone and random wave plus currents have been presented and discussed by varying the seabed slope and water depth. An approximate method is also proposed, and comparisons are made with the present stochastic method. For random waves alone it appears that the approximate method can replace the stochastic method, whereas the stochastic method is required for random waves plus currents. Tentative approaches to related random wave-induced scour cases on mild slopes are also suggested.

방파제를 통과하는 규칙파와 다방향 불규칙파랑의 거동 (Behavior of Regular Waves and Multi-Directional Random Waves Passing a Breakwater)

  • 박상일;박진호;조용식
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2008년도 정기총회 및 학술발표대회
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    • pp.439-442
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    • 2008
  • Diffraction of multi-directional random waves passing semi-infinite breakwater is investigated by using analytic solution derived by Penny and Prices(1952). An irregylarity of period and incident angle of waves and regular periods for regular waves are considered in addition by expanding from the past study which used only monochromatic wave in general. The Bretschneider-Mitsuyasu frequency spectrum and Mitsuyasu directional spectrum are used for incident waves. And diffraction of multi-directional random waves is reappeared by decomposing numerical results of several monochromatic waves which have variable period and incident angle. Analytic solution on the diffraction of regular waves and multi-directional random waves calculated in this study.

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Burial and scour of truncated cones due to long-crested and short-crested nonlinear random waves

  • Myrhaug, Dag;Ong, Muk Chen
    • Ocean Systems Engineering
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    • 제4권1호
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    • pp.21-37
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    • 2014
  • This paper provides a practical stochastic method by which the burial and scour depths of truncated cones exposed to long-crested (2D) and short-crested (3D) nonlinear random waves can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Forristall (2000) wave crest height distribution representing both 2D and 3D nonlinear random waves. Moreover, the formulas for the burial and the scour depths for regular waves presented by Catano-Lopera et al. (2011) for truncated cones are used. An example of calculation is also presented.

다열 함몰지형을 통과하는 불규칙 파랑의 반사해석 (Analysis of Reflection Coefficients of Random Waves Propagating over Multi-arrayed trenchs)

  • 강규영;정태화;조용식
    • 한국방재학회:학술대회논문집
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    • 한국방재학회 2008년도 정기총회 및 학술발표대회
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    • pp.213-216
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    • 2008
  • In this study, reflection coefficients of regular and random waves propagating over multi-arrayed trenchs are calculated respectively. When the row of trench is 3, the reflection coefficient of regular waves is more than 0.7 as maximum value. Similarly, when the row of trench is 3 and $d/L_1$ is 0.22, reflection coefficient of multi-directional random waves is more than 0.4 maximally.

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Scour around spherical bodies due to long-crested and short-crested nonlinear random waves

  • Myrhaug, Dag;Ong, Muk Chen
    • Ocean Systems Engineering
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    • 제2권4호
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    • pp.257-269
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    • 2012
  • This paper provides a practical stochastic method by which the maximum equilibrium scour depth around spherical bodies exposed to long-crested (2D) and short-crested (3D) nonlinear random waves can be derived. The approach is based on assuming the waves to be a stationary narrow-band random process, adopting the Forristall (2000) wave crest height distribution representing both 2D and 3D nonlinear random waves, and using the regular wave formulas for scour and self-burial depths by Truelsen et al. (2005). An example calculation is provided.

다방향 불규칙파에 의한 직립벽 주위의 연파특성 (Hydraulic Experiments of Stem Waves due to Multi-Directional Random Waves along a Vertical Caisson)

  • 유형석;김규한;정의진
    • 한국해안·해양공학회논문집
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    • 제22권6호
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    • pp.429-436
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    • 2010
  • 본 연구에서는 주파향 입사각에 따른 다방향 불규칙파의 연파특성을 수리실험을 통하여 분석하였다. 아울러, 다방향 불규칙파의 연파특성을 동일한 조건을 이용한 일방향 불규칙파의 실험결과와 비교하였다. 실험결과, 다방향 불규칙파의 경우에도 직립벽을 따라 발달하는 연파는 입사각의 증가에 따라 커지는 경향을 확인할 수 있었다. 아울러, 연파의 폭도 일방향 불규칙파와 거의 동일하게 나타났다. 반면, 다방향 불규칙파에 의한 연파의 크기는 일방향 불규칙파의 경우에 비해 현저히 작음이 확인되었다.

Time-domain hydroelastic analysis with efficient load estimation for random waves

  • Kang, H.Y.;Kim, M.H.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제9권3호
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    • pp.266-281
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    • 2017
  • Hydroelastic interactions of a deformable floating body with random waves are investigated in time domain. Both hydroelastic motion and structural dynamics are solved by expansion of elastic modes and Fourier transform for the random waves. A direct and efficient structural analysis in time domain is developed. In particular, an efficient way of obtaining distributive loads for the hydrodynamic integral terms including convolution integral by using Fubini theory is explained. After confirming correctness of respective loading components, calculations of full distributions of loads in random waves are expedited by reformulating all the body loading terms into distributed forms. The method is validated by extensive convergence tests and comparisons against the counterparts of the frequency-domain analysis. Characteristics of motion/deformation responses and stress resultants are investigated through a parametric study with varying bending rigidity and types of random waves. Relative contributions of componential loads are identified. The consequence of elastic-mode resonance is underscored.

A Time-Domain Approach for the Second-Order Diffraction Problem Around Circular Cylinders in Random Waves

  • YONGHWAN KIM
    • 한국해양공학회지
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    • 제15권1호
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    • pp.12-18
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    • 2001
  • This study concentrates on the second-order diffraction problem around circular cylinders in multi-frequency waves. The method of solution is a time-domain Rankine panel method which adopts a higher-order approximation for the velocity potential and wave elevation. In the present study, the multiple second-order quadratic transfer functions are extracted from the second-order time signal generated in random waves, and the comparison with other bench-mark test results shows a good agreement. This approach is directly applicable to prediction of nonlinear forces on offshore structures in random ocean.

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불규칙파를 위한 약비선형 약분산 파랑 방정식 (Weakly Nonlinear and Dispersive Wave Equations for Random Waves)

  • 정재상;조용식
    • 한국수자원학회논문집
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    • 제38권6호
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    • pp.429-438
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    • 2005
  • 본 연구에서는 Boussinesq 방정식을 이용하여, 불규칙 파랑의 직접적인 해석이 가능한 한 쌍의 상미분방정식을 유도하였다. 입사파랑은 TMA(TEXEL storm, MARSEN, ARSLOE) 천해 스펙트럼을 이용하여 재현하였으며, 지배방정식은 4차 Runge-Kutta 법을 이용하여 적분하였다. 새로 유도된 파랑 방정식을 이용하여, 일정 수심을 진행하는 파랑의 비선형 에너지 교환효과를 계산하였다. 또한, 일정 경사면의 정현파형 지형을 통과하는 불규칙파랑의 특성에 관해 수치적으로 검토하였다. 비선형성이 불규칙파랑의 통과와 반사에 큰 영향을 주었다.