• Title/Summary/Keyword: Bottom friction

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A Harbour Oscillation Model by Galerkin Finite Element Method (Galerkin 유한요소법에 의한 항내 정온도 모형)

  • 서승남;연영진
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.6 no.4
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    • pp.439-451
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    • 1994
  • A numerical model for harbour oscillation is presented by use of Galerkin finite element method. The governing equation is used by the modified mild slope equation derived from Chen (1986) in which bottom friction is incorporated. Since the existing absorbing boundary condition. however. is shown to be incorrect correct boundary condition and forcing term due to an incident plane wave are rederived. Computation results for a rectangular harbour are shown in comparison with both laboratory data and existing numerical results. After the values of friction factor (f) and reflection coefficient (K$_{r}$) are discussed, the set (K$_{r}$=0, 94, f=0) is found to be best fitted to the laboratory data of the rectangular harbour.

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Analysis of underground post-tensioned precast concrete box utility tunnel under normal fault displacement

  • Wu, Xiangguo;Nie, Chenhang;Qiu, Faqiang;Zhang, Xuesen;Hong, Li;Lee, Jong-Sub;Kang, Thomas H.K.
    • Computers and Concrete
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    • v.29 no.2
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    • pp.69-79
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    • 2022
  • For long underground box utility tunnels, post-tensioned precast concrete is often used. Between precast tunnel segments, sealed waterproof flexible joints are often specified. Fault displacement can lead to excessive deformation of the joints, which can lead to reduction in waterproofing due to diminished contact pressure between the sealant strip and the tunnel segment. This paper authenticates utilization of a finite element model for a prefabricated tunnel fault-crossing founded on ABAQUS software. In addition, material parameter selection, contact setting and boundary condition are reviewed. Analyzed under normal fault action are: the influence of fault displacement; buried depth; soil friction coefficient, and angle of crossing at the fault plane. In addition, distribution characteristics of the utility tunnel structure for vertical and longitudinal/horizontal relative displacement at segmented interface for the top and bottom slab are analyzed. It is found that the effect of increase in fault displacement on the splice joint deformation is significant, whereas the effects of changes in burial depth, pipe-soil friction coefficient and fault-crossing angle on the overall tunnel and joint deformations were not so significant.

Numerical Study on the Motion of Azimuthal Vortices in Axisymmetric Rotating Flows

  • Suh, Yong-Kweon
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.313-324
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    • 2004
  • A rich phenomenon in the dynamics of azimuthal vortices in a circular cylinder caused by the inertial oscillation is investigated numerically at high Reynolds numbers and moderate Rossby numbers. In the actual spin-up flow where both the Ekman circulation and the bottom friction effects are included, the first appearance of a seed vortex is generated by the Ekman boundary-layer on the bottom wall and the subsequent roll-up near the corner bounded by the side wall. The existence of the small vortex then rapidly propagates toward the inviscid region and induces a complicated pattern in the distribution of azimuthal vorticity, i.e. inertial oscillation. The inertial oscillation however does not deteriorate the classical Ekman-pumping model in the time scale larger than that of the oscillatory motion. Motions of single vortex and a pair of vortices are further investigated under a slip boundary-condition on the solid walls. For the case of single vortex, repeated change of the vorticity sign is observed together with typical propagation of inertial waves. For the case of a pair of vortices with a two-step profile in the initial azimuthal velocity, the vortices' movement toward the outer region is resisted by the crescent-shape vortices surrounding the pair. After touching the border between the core and outer regions, the pair vortices weaken very fast.

Numerical Analysis of Nonlinear Effect of Wave on Refraction and Diffraction (파의 굴절 및 회절에 미치는 비선형 효과에 대한 수치해석)

  • 이정규;이종인
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.2 no.1
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    • pp.51-57
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    • 1990
  • Based on second-order Stokes wave and parabolic approximation, a refraction-diffraction model for linear and nonlinear waves is developed. With the assumption that the water depth is slowly varying, the model equation describes the forward scattered wavefield. The parabolic approximation equations account for the combined effects of refraction and diffraction, while the influences of bottom friction, current and wind have been neglected. The model is tested against laboratory experiments for the case of submerged circular shoal, when both refraction and diffraction are equally significant. Based on Boussinesq equations, the parabolic approximation eq. is applied to the propagation of shallow water waves. In the case without currents, the forward diffraction of Cnoidal waves by a straight breakwater is studied numerically. The formation of stem waves along the breakwater and the relation between the stem waves and the incident wave characteristics are discussed. Numerical experiments are carried out using different bottom slopes and different angles of incidence.

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An investigation of non-uniform metal flow during rectangular battery case using impact extrusion process (충격압출 공정을 이용한 직사각형 배터리 케이스 성형 시 불균일 금속 유동 발생 원인 고찰)

  • Lim, Jae-Hyuk;Kim, Yong-bae;Lee, Jong-sup
    • Design & Manufacturing
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    • v.10 no.2
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    • pp.24-28
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    • 2016
  • In this study, relevant to impact extrusion process of the rectangular batter case for electric vehicles, numerical and experimental analyses were conducted to reduce the earring defects induced in the unevenness of metal flow. Since the earring is caused by the non-uniform metal flow induced in the friction and aspect ratio in the bottom section. As a way to reduce the earring, variable land die concept was applied. In order to analyze numerically the complex metal flow by using commercial finite element package, DEFORM 3D, impact extrusion process was simplified in upsetting mode at bottom section and extrusion mode at land section. The impact extrusion experiments were conducted to verify the assessment of process parameter for impact extrusion. As results, variable land die which has longer longitudinal section makes reduce earring defects. In addition, it was confirmed that the effect that slug shape like dog-bone also can reduce the earring. This study is expected to be able to present the useful design guidelines for manufacturing the battery case.

Flow Velocity Change of David Glacier, East Antarctica, from 2016 to 2020 Observed by Sentinel-1A SAR Offset Tracking Method

  • Moon, Jihyun;Cho, Yuri;Lee, Hoonyol
    • Korean Journal of Remote Sensing
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    • v.37 no.1
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    • pp.1-11
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    • 2021
  • This study measures the change of ice flow velocity of David Glacier, one of the fast-moving glaciers in East Antarctica that drains through Drygalski Ice Tongue. In order to effectively observe the rapid flow velocity, we applied the offset tracking technique to Sentinel-1A SAR images obtained from 2016 to 2020 with 36-day temporal baseline. The resulting velocity maps were averaged and the two relatively fast points (A1 and A2) were selected for further time-series analysis. The flow velocity increased during the Antarctic summer (around December to March) over the four years' observation period probably due to the ice surface melting and reduced friction on the ice bottom. Bedmap2 showed that the fast flow velocities at A1 and A2 are associated with a sharp decrease in the ice surface and bottom elevation so that ice volumetric cross-section narrows down and the crevasses are being created on the ice surface. The local maxima in standard deviation of ice velocity, S1 and S2, showed random temporal fluctuation due to the rotational ice swirls causing error in offset tracking method. It is suggested that more robust offset tracking method is necessary to incorporate rotational motion.

A Numerical Study on the Interaction of Ulleung Warm Eddy with Topography and Lateral Boundary (울릉 난수성 Eddy와 해저지형과의 상호작용에 관한 수치모델 연구)

  • Lim, Keun-Sik;Kim, Kuh
    • 한국해양학회지
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    • v.30 no.6
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    • pp.565-583
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    • 1995
  • We have used a nonlinear quasi-geostrophic model to study effects of lateral friction and bottom topography on the motion of warm eddies. The two empirical orthogonal functions of the stream function, accounting for the vertical structure, represent the barotropic and first baroclinic dynamic modes. This model is integrated 360 days on a 1000 km ${\times}$ 1000 km domain with a resolution of 10 km ${\times}$ 10 km including both the thermocline and idealized topography of the East Sea. Prescribed inflow through the Korea Strait is compensated by outflow through the Tsugaru Strait. The balance between the nonlinear advection term and the planetary ${\beta}$-effect tends to make northward movement of warm eddy over a flat bottom. The motion of a warm eddy over a sloping topography can be dominated by the nonlinear advection, while nonlinearity plays a secondary role over a flat topography. For eddies dispersing over topography, the nonlinear tendency is a function of time. For a strong warm eddy, northward propagation can occur. For intermediate strength of eddies one might expect a balance between the nonlinear term and the topographic ${\beta}$-effect. As nonlinearity decreases with eddy dispersion, southward motion along the slope may occur by such as a topographic Rossby wave. Our numerical simulations have confirmed the importance of lateral friction on eddy motions, in such a way that the northward penetration of the warm eddy increases drastically by the decrease of the lateral friction. The northward motion of warm eddy can be prevented by reducing the Reynolds number sufficiently. We have also demonstrated the crucial role of topographic effects in the eddy motion process.

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Longitudinal Distribution of Zooplankton at 10.5°N in the Northeastern Pacific (북동태평양 북위 10.5°에서 동물플랑크톤의 경도별 분포 특성)

  • Kang, Jung-Hoon;Cho, Kyu-Hee;Son, Ju-Won;Kim, Woong-Seo
    • Ocean and Polar Research
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    • v.29 no.4
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    • pp.283-295
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    • 2007
  • We investigated the longitudinal variations in zooplankton abundances and their related physicochemical properties at nine stations located between $136^{\circ}W$ and $128^{\circ}W$ at $10.5^{\circ}N$ in the northeastern Pacific in summer 2004. Temperature, salinity, inorganic nutrients, chlorophyll-a (hereafter chl-a) and zooplankton ($>200\;{\mu}m$) were sampled within the depth from the surface to 200 m depth at $1^{\circ}$ longitude intervals. Zooplankton($>200\;{\mu}m$) samples were vertically collected at two depth intervals from surface to 200 m, consisting of surface mixed and lower layers (thermocline$\sim$200 m). Longitudinal distributional pattern of hydrological parameters (especially salinity) was physically influenced by the intensity of westward geostrophic current passage relating to the NEC (North Equatorial Current). Data from the longitudinal survey showed clear zonal distributions in the hydrological parameters(temperature, salinity and nutrients). However, spatial patterns of the chl-a concentrations and zooplankton abundances were mostly independent of the zonal distributions of hydrological parameters. The two peaks of zooplankton abundance in the surface mixed layer were characterized by different controlling factors such as bottom-up control from nutrients to zooplankton ($129^{\circ}W$) and accumulation by increment of friction force and taxonomic interrelationship ($133^{\circ}$ and $134^{\circ}W$). Divergence-related upwelling caused introduction of nutrients into surface waters leading to the increment of chl-a concentration and zooplankton abundances ($129^{\circ}W$). Increased friction force in relation to reduced flow rates of geostrophic currents caused accumulation of zooplankton drifting from eastern stations of study area($133^{\circ}$ and $134^{\circ}W$). Besides, high correlation between immature copepods and carnivorous groups such as chaetognaths and cyclopoids also possibly contributed to the enhanced total abundance of zooplankton in the surface mixed layer (p<0.05). Zooplankton community was divided into three groups (A, B, C) which consecutively included the eastern peak of zooplankton($129^{\circ}W$), the western peak($133^{\circ}$ and $134^{\circ}W$) and high nutrient but low chl-a concentration and zooplankton abundance ($136^{\circ}W$). Moreover, Group B corresponded to the westward movement of low saline waters(<33.6 psu) from 128 to $132^{\circ}W$. In summary, longitudinal distributions of zooplankton community was characterized by three different controlling factors: bottom-up control ($129^{\circ}W$), accumulation by increased friction force and relationships among zooplankton groups ($133^{\circ}$ and $134^{\circ}W$), and mismatch between hydrological parameters and zooplankton in the high nutrient low chlorophyll area ($136^{\circ}W$) during the study period.

1D Numerical Model for Rivers Flows with Emergent Vegetations on Floodplains and Banks (정수식생이 존재하는 자연하도에서 1차원 수치모형)

  • Song, Ju-Il;Kim, Jong-Woo;Rim, Chang-Soo;Yoon, Sei-Eui
    • Journal of Korea Water Resources Association
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    • v.44 no.1
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    • pp.9-22
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    • 2011
  • A 1D numerical model for steady flow, based on the energy equation, was developed for natural rivers with emergent vegetations on floodplains and banks. The friction slope was determined by the friction law of Darcy-Weisbach. The composite friction factor of the each cross section was calculated by considering bottom roughness of the main channel and the floodplains, the flow resistance of vegetations, the apparent shear stress and the flow resistance caused by the momentum transfer between vegetated areas and non-vegetated areas. The interface friction factor caused by flow interaction was calculated by empirical formulas of Mertens and Nuding. In order to verify the accuracy of the suggested model, water surface elevations were calculated by using imaginary compound channels and the results of calculations were compared with that of the HEC-RAS. The sensitivity analysis was performed to confirm changed friction factors by vegetations density etc. The suggested model was applied to the reach of the Enz River in Germany, and estimated water surface elevations of the Enz River were compared with measured water surface elevations. This model could acceptably compute not only water surface elevations with low discharge but also that with high discharge. So, the suggested model in this study verified the applicability in natural rivers with emergent vegetations.

FLUID DYNAMIC IMPLICATIONS OF THE INTERMITTENCY OF TURBULENT MOMENTUM TRANSPORT IN THE OCEANIC TURBULENT BOUNDARY LAYER (海洋 亂流境界層內 斷續性의 流體力學的 意義)

  • Chung, Jong Yul;Grosch, Chester E.
    • 한국해양학회지
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    • v.18 no.2
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    • pp.104-110
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    • 1983
  • The Intermittent phenomena of the turbulent momentrm transports were closely examined in order to know the nature of intermittency and its fluid dynamic implications in the oceanic turbulent boundary layer. Also the connection between the observed intermittency and the bursting phenomenon was studied in detail. In this investigation, strong intermittency of turbulent momentum transports were found and the peak values of Reynolds stress (i,e., u'w') was about 408 times greater than average Reynolds stress (u',w') in the mid-layer and 270 times greater in the uppcrlayer of the turbulent boundary layer. These values are far greater than presently known maximum value, namely 30 times greater than the average Reynolds stress reported by Gordon (1974) and Heathersaw (1974). The distribution of Reynolds stress were extremely non-normal with the mean peak occurrence period of 5 minutes in the mid-layer and 1. 1 minutes in the upper layer of the turbulent boundary layer. Each teak lasted about 2 seconds in the mid-layer and 1.1 seconds in the upper layer of the turbulent boundary layer. Our dimensionless period of peak occurrence are found to be 33.3 in the mid-layer and 7.3 in the upper-layer, which are substantially larger than the often quoted values of 3.2-6.8 for the bursting period (Jackson, 1976). Some workers have interpreted that the intermittency phenomenon is the retlect of burst across their probe of the currentmeter (Gordon, 1974; Heathersaw, 1974). However, it was known that the burst can be found very near bottom boundary with smoothed bottom (i,e., friction Reynolds number$\leq$3,000) in the laboratory experiments. Through this investigation, it was found that the intermittent strength of the turbulent momentum transports does not conclusively indicate the characteristic feature of the boundary layer turbulence with a rough bottom (i,e., friction Reynolds number$\geq$10$\^$5/).

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