• Title/Summary/Keyword: 비선형 ${\kappa}-{\varepsilon}$ 모형

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Numerical Simulations of Suspended Sediment Concentration of Wide Open-Channel Flow with Longitudinal Bedforms (연속적인 횡방향 바닥형상을 갖는 폭이 넓은 개수로 흐름의 부유사 농도분포 수치모의)

  • Choi, Sung-Uk;Park, Moon-Hyeong;Kang, Hyeong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1368-1372
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    • 2007
  • 바닥이 언덕과 저면으로 이루어진 연속적인 횡방향 바닥형상을 갖는 개수로 흐름의 부유사 농도분포를 수치모의 하였다. 비선형 ${\kappa}-{\varepsilon}$ 모형을 이용하여 흐름의 지배방정식인 곡선 직교좌표계에 대한 Navier-Stokes 방정식을 해석하였으며, 와점성계수 개념을 이용하여 부유사 수송 방정식을 해석하였다. 기존의 실험결과와 비교하여 모형이 격자형 이차흐름을 비교적 잘 예측하는 것을 확인하였으며, 동일한 흐름에 대하여 부유사 농도 분포를 계산하였다. 부유사량의 계산 결과 언덕 위의 부유사 농도분포가 저면 위의 농도분포보다 크게 나타났다.

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Coastal Currents Driven by Irregular Waves (불규칙파에 의한 연안류)

  • Yoo, Dong Hoon
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.10 no.4
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    • pp.151-158
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    • 1990
  • Various factors may contribute on the mixing processes in the surf zone formed by irregular waves. The turbulence motion driven by wave breaking may be one of the major causes, the effect due to spatial variation on current velocity be a secondary one, and the additional process may result from the irregular superposition of radiation stresses or wave breaking dissipation incurred by random breaking waves in a broadened surf zone. In the present study a numerical model of spectral waves and induced currents was developed using a superposition technique with ${\kappa}-{\varepsilon}$ closure for mixing process and applied to a field situation of longshore current generated by spectral waves on a uniform beach. It was found from the application that the surf-zone mixing processes formed by irregular waves can be well described by using ${\kappa}-{\varepsilon}$ equations if the source of ${\kappa}$ is properly represented. The nonlinear energy transfer was also found to have some influence on the velocity profile of longshore current particularly in very shallow water region near coast.

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Numerical Analysis of Nonlinear Shoaling Characteristics over Surf Zone Using SPH and Lagrangian Dynamic Smagronsky Model (Lagrangian Dynamic Smagronsky 난류모형과 SPH를 이용한 쇄파역에서의 비선형 천수거동에 관한 연구)

  • Cho, Yong-Jun;Lee, Heon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.19 no.1
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    • pp.81-96
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    • 2007
  • Nonlinear shoaling characteristics over surf zone are numerically investigated based on spatially averaged NavierStokes equation. We also test the validity of gradient model for turbulent stresses due to wave breaking using the data acquainted during SUPERTANK LABORATORY DATA COLLECTION PROJECT(Krauss et al., 1992). It turns out that the characteristics length scale of breaking induced current is not negligible, which firmly stands against ever popular gradient model, ${\kappa}-{\varepsilon}$ model, but favors Large Eddy Simulation with finer grid. Based on these observations, we model the residual stress of spatially averaged NavierStokes equation after Lagrangian Dynamic Smagorinsky(Meneveau et al., 1996). We numerically integrate newly proposed wave equations using SPH with Gaussian kernel function. Severely deformed water surface profile, free falling water particle, queuing splash after landing of water particle on the free surface and wave finger due to structured vortex on rear side of wave crest(Narayanaswamy and Dalrymple, 2002) are successfully duplicated in the numerical simulation of wave propagation over uniform slope beach, which so far have been regarded very difficult features to mimic in the computational fluid mechanics.