• 제목/요약/키워드: pom-pom model

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Recent results on the analysis of viscoelastic constitutive equations

  • Kwon, Youngdon
    • Korea-Australia Rheology Journal
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    • v.14 no.1
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    • pp.33-45
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    • 2002
  • Recent results obtained for the port-pom model and the constitutive equations with time-strain separability are examined. The time-strain separability in viscoelastic systems Is not a rule derived from fundamental principles but merely a hypothesis based on experimental phenomena, stress relaxation at long times. The violation of separability in the short-time response just after a step strain is also well understood (Archer, 1999). In constitutive modeling, time-strain separability has been extensively employed because of its theoretical simplicity and practical convenience. Here we present a simple analysis that verifies this hypothesis inevitably incurs mathematical inconsistency in the viewpoint of stability. Employing an asymptotic analysis, we show that both differential and integral constitutive equations based on time-strain separability are either Hadamard-type unstable or dissipative unstable. The conclusion drawn in this study is shown to be applicable to the Doi-Edwards model (with independent alignment approximation). Hence, the Hadamardtype instability of the Doi-Edwards model results from the time-strain separability in its formulation, and its remedy may lie in the transition mechanism from Rouse to reptational relaxation supposed by Doi and Edwards. Recently in order to describe the complex rheological behavior of polymer melts with long side branches like low density polyethylene, new constitutive equations called the port-pom equations have been derived in the integral/differential form and also in the simplifled differential type by McLeish and carson on the basis of the reptation dynamics with simplifled branch structure taken into account. In this study mathematical stability analysis under short and high frequency wave disturbances has been performed for these constitutive equations. It is proved that the differential model is globally Hadamard stable, and the integral model seems stable, as long as the orientation tensor remains positive definite or the smooth strain history in the flow is previously given. However cautious attention has to be paid when one employs the simplified version of the constitutive equations without arm withdrawal, since neglecting the arm withdrawal immediately yields Hadamard instability. In the flow regime of creep shear flow where the applied constant shear stress exceeds the maximum achievable value in the steady flow curves, the constitutive equations exhibit severe instability that the solution possesses strong discontinuity at the moment of change of chain dynamics mechanisms.

The Characteristics of Circulation in the Coastal Area of Jeju Harbor Using the Three Dimensional Ocean Circulation Model (3차원 해수유동모델에 의한 제주항 연안해역의 해수순환 특성)

  • Yang, Tai-Hoek;Yang, Sung-Kee
    • Journal of Environmental Science International
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    • v.20 no.6
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    • pp.679-686
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    • 2011
  • The characteristics of circulation in the coastal area of Jeju Harbor in Korea was examined using the Princeton Ocean Model(POM) with a sigma coordinate system. The result of numerical analysis well corresponded to the observed current data. The velocity at offshore was stronger compared to coastal area during the both period of in maximum flood and maximum ebb of spring tide. According to mean wind velocity, the tidal velocity at the shallow area of Jocheon was slightly increasing during maximum ebb. The effect of wind on the circulation was stronger in shallow area and showed rapid change with depth.

Temperature Variations in the Mixed Layer with the Passage of Typhoons Using One-Dimensional Numerical Model (1차원 모델상에서 태풍통과시의 혼합층 수온 변화)

  • Hong, Chul-Hoon;Masuda, Akira
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.51 no.1
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    • pp.107-112
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    • 2018
  • One-dimensional numerical model is implemented to investigate temperature variations in the mixed layer depth (MLD) with the passage of typhoons. In the model, we assume a non-divergent, infinite ocean and consider wind effects only, excluding isostatic effects (inverse barometric effects) and upwelling with vertical movement of the water column. Numerical experiments investigate the effects of typhoon tracks on temperature variations, including their dependence on vertical resolutions in the MLD and these results are compared with those in a three-dimensional primitive equation model (POM). The model reproduces features of the observed temperature variations in the MLD fairly well, and implies that wind effects, rather than isostatic effects, play a predominant role in temporal and spatial temperature variations in the MLD. After the passage of typhoons, however, the model does not reproduce well the temperature variations observed in the MLD, because a limitation of the model is its inability to reproduce events such as cyclonic eddy formation (Hong et al., 2011; Masuda and Hong, 2011). The model also shows well the so called 'rightward bias' (Price, 1981) of sea surface cooling which is the most predominant in the right hand side of typhoon's track.

A Height Simulation on Storm Surges in Jeju Island (제주도 연안해역의 폭풍해일고 산정)

  • Yang, Sung-Kee;Kim, Sang-Bong
    • Journal of Environmental Science International
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    • v.23 no.3
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    • pp.459-472
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    • 2014
  • Storm surge height in the coastal area of Jeju Island was examined using the Princeton Ocean Model(POM) with a sigma coordinate system. Amongst the typhoons that had affected to Jeju Island for six years(1987 to 2003), the eight typhoons(Maemi, Rusa, Prapiroon, Olga, Yanni, Janis, Gladys and Thelma) were found to bring relatively huge damage. The storm surge height of these typhoons simulated in Jeju harbour and Seogwipo harbour corresponded relatively well with the observed value. The occurrence time of the storm surge height was different, but mostly, it was a little later than the observed time. Jeju harbour showed a higher storm surge height than Seogwipo harbour, and the storm surge height didn't exceed 1m in both of Jeju harbour and Seogwipo harbour. Maemi out of the eight typhoons showed the maximum storm surge height(77.97 cm) in Jeju harbour, and Janis showed the lowest storm surge height(5.3 cm) in Seogwipo harbour.

동중국해역에서 양자강 방류량 변화에 따른 저염분포의 수치실험

  • 황재동;정희동;조규대;박성은
    • Proceedings of KOSOMES biannual meeting
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    • 2003.11a
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    • pp.187-190
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    • 2003
  • 한반도 서남부해역은 하계 양자강의 방류에 의해 저염분 현상이 발생한다. 양자강 방류량은 해마다 일정하지 않으며, 과거 시계열자료에 의하면 최대값이 최소값보다 2배 이상이 됨을 알 수 있다. 다라서 양자강의 방류량을 달리하여 저염분포를 수치모델로 연구하고자 하였다. 수치모델은 POM(Princeton Ocean Model)을 사용하였다. POM은 연직적으로 $\sigma$-좌표계를 사용하는 3차원 순환모델이다. 모델 수행 후 연구해역내 대륙사면부에서 유속이 강하게 나타남을 알 수 있다. 또한 제주도 서쪽을 통해 북상하여 황해중앙부로 들어가는 흐름이 있으며, 대륙연안을 따라 남하하는 흐름이 있음을 알 수 있다 양자강 방류량을 부여한 수행한 모델의 결과를 보면 양자강 방류량이 많을수록 저염분역이 제주도에 가깝게 나타남을 랄 수 있다.

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THREE-DIMENSIONAL FINITE ELEMENT ANALYSIS OF THE EFFECT OF CORTICAL ENGAGEMENT ON IMPLANT LOAD TRANSFER IN POSTERIOR MANDIBLE (하악구치부 피질골 engagement가 임플란트 하중전달에 미치는 영향에 관한 3차원 유한요소법적 응력분석)

  • Jeong, Chang-Mo
    • The Journal of Korean Academy of Prosthodontics
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    • v.37 no.5
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    • pp.607-619
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    • 1999
  • Cortical support is an important factor, as the engagement of the fixture in strong compact bone offers an increased load-carrying capacity and initial stability. Because of the poor bone quality in the posterior mandible and other anatomic considerations, it has been suggested that implant fixtures be placed in these locations with apical engagement of the lingual cortical plate for so-called bicortication. The purpose of this investigation was to determine the effect of cortical engagements and in addition polyoxymethylene(POM) intramobile connector(IMC) of IMZ implant on implant load transfer in edentulous posterior segment of mandible, using three-dimensional (3D) finite element analysis models composed of cortical and trabecular bone involving single implant. Variables such as (1) the crestal peri-implant defect, (2) the apical engagement of lingual cortical plate, (3) the occlusal contact position (a vertical load at central fossa or buccal cusp tip), and (4) POM IMC were investigated. Stress patterns were compared and interfacial stresses along the bone-implant interface were monitored specially. Within the scope of this study, the following observations were made. 1) Offset load and angulation of fixture led to increase the local interfacial stresses. 2) Stresses were concentrated toward the cortical bones, but the crestal peri-implant defect increased the interfacial stresses in trabecular bone. 3) For the model with bicortication, it was noticed that the crestal cortical bone provided more resistance to the bending moment and the lingual cortical plate provided more support for the vertical load. But Angulation problem of the fixture from the lingual cortical engagement caused the local interfacial stress concentrations. 4) It was not clear that POM IMC had the effect on stress distribution under the present experimental conditions, especially for the cases of crestal peri-implant defect.

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Three-Dimensional Behavior of Nakdong River Plume during the Flood Period in Summer (홍수기 낙동강 하천플륨의 3차원 거동해석)

  • LEE Jong Sup;YOON Eun Chan;BAEK Seung Woo;LEE Jae Chul
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.36 no.5
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    • pp.549-561
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    • 2003
  • Behavior of the Nakdong River plume was studied by the analysis of the observed CTD data and numerical simulations using three-dimensional Princeton Ocean model (POM) in which the river discharge, tides and winds were considered. During the flood season of summer the 30 psu isohaline expands northward to Daebyeon and southwestward to Samcheonpo. The model results show that the isohalines are approximately parallel to the bottom slope, which suggests the possibility of upwelling induced by the topographic effects. Northwesterly wind expands the river plume to the offshore direction so that the inflow of fresh plume water into Jinhae Bay through the Gaduk Channel is constrained, then the coastal upwelling seems to be caused by the wind-driven current at the southern edge of Gaduk Island. Southwesterly wind expands the river plume toward Daebyeon, and the inflow of fresh water into Jinhae Bay is also constrained.

Model Parametrization on the Mixing Behavior of Coastal Discharges

  • Kim, Jong-Kyu
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • v.6 no.1
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    • pp.15-21
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    • 2003
  • A common feature in the three-dimensional numerical model experiments of coastal discharge with simplified model and idealized external forcings is investigated. The velocity fields due to the buoyancy and flaw flux, are spreaded radiately and the surface velocites are much greater than the homegeneous discharges. The coastal dischargd due to the Coriolis force and flaw flux are shaped a anticyclical gyre (clockwise) and determined the scale of the gyre in the coastal zone, respectively. The bottom topography restricts a outward extention of the coastal fronts and it accelerates a southward flow.

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An Analysis of Hydraulic Characteristics in Sea Dike Closure Gap Using a Three Dimensional Numerical Model (3차원 수치모형을 이용한 방조제 끝막이 구간의 수리특성분석(수공))

  • 강민구;박승우;임상준
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2000.10a
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    • pp.405-411
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    • 2000
  • This study reviews qualitatively the flow characteristics around th tidal gap during seadike closures using a three-dimensional model for shallow water equations. The Princeton Ocean Model(POM) was adapted and applied to the Sihwa Seadike which was closed in 1994. The simulated flow patterns around the gap showed that tidal velocities increase with the cross-sectional area during ebb tide. The accelerated flow extended to wider zones passing the gap, and shock waves were generated. Vertical tidal velocity profiles were affected as the bottom scours developed beyond normal conditions.

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Calibration and Verification of a Hydrodynamic Model in Chunsu Bay and Adjacent Coastal Water (천수만과 인근연안에서 수역학모델의 보정 및 검증)

  • Kyeong Park;Jeong Hwan Oh
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.10 no.3
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    • pp.109-119
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    • 1998
  • A horizontal tow-dimensional version of POM (Princeton Ocean Model) was modified in representing the bottom friction and the open boundary conditions. To simulate the flooding and drying of intertidal flats, a wetting-and-drying scheme was incorporated into the model. The model then was applied to the Chunsu Bay and its adjacent coastal water. Only the water movement due to tides, the dominant forcing in the study area, was considered. This presents the procedure and the results of model calibration and verification for the Chunsu Bay system. The model was calibrated, using the average tidal characteristics in Tide Tables, for the amplitudes and the phases of tidal waves throughout the modeling domain. Calibration results showed that the model gave a good reproduction of tidal waves. The calibrated model was verified using the time-series measurements of surface elevation and current velocity in the summer of 1995. The model reproduced the tides currents very well. calibration and verification results demonstrated that the model is capable of reproducing the tidal dynamics in the Chunsu Bay system.

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