• 제목/요약/키워드: Neumann Condition

검색결과 89건 처리시간 0.027초

유한요소법을 이용한 파랑 중 선박운동의 시간영역 해석기법 개발 (Time Domain Analysis of Ship Motion in Waves Using Finite Element Method)

  • 남보우;성홍근;홍사영
    • 한국해양공학회지
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    • 제23권1호
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    • pp.16-23
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    • 2009
  • The three-dimensional ship motion with forward speed was solved by a finite element method in the time domain. A boundary value problem was described in the frame of a fixed-body reference, and the problem was formulated according to Double-Body and Neumann-Kelvin linearizations. Laplace's equation with boundary conditions was solved by a classical finite element method based on the weak formulation. Chebyshev filtering was used to get rid of an unwanted saw-tooth wave and a wave damping zone was adopted to impose a numerical radiation condition. The time marching of the free surface was performed by the 4th order Adams-Bashforth-Moulton method. Wigley I and Wigely III models were considered for numerical validation. The hydrodynamic coefficients and wave exciting forces were validated by a comparison with experimental data and the numerical results of the Wigley I. The effects of the linearization are also discussed. The motion RAO was also checked with a Wigley III model through mono-chromatic and multi-chromatic regular waves.

Poly-crystalline Silicon Thin Film Transistor: a Two-dimensional Threshold Voltage Analysis using Green's Function Approach

  • Sehgal, Amit;Mangla, Tina;Gupta, Mridula;Gupta, R.S.
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제7권4호
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    • pp.287-298
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    • 2007
  • A two-dimensional treatment of the potential distribution under the depletion approximation is presented for poly-crystalline silicon thin film transistors. Green's function approach is adopted to solve the two-dimensional Poisson's equation. The solution for the potential distribution is derived using Neumann's boundary condition at the silicon-silicon di-oxide interface. The developed model gives insight into device behavior due to the effects of traps and grain-boundaries. Also short-channel effects and drain induced barrier lowering effects are incorporated in the model. The potential distribution and electric field variation with various device parameters is shown. An analysis of threshold voltage is also presented. The results obtained show good agreement with simulated results and numerical modeling based on the finite difference method, thus demonstrating the validity of our model.

정규격자계와 4단계 Range-Kutta법을 사용한 Wigley선형 주위의 난류유동계산 (Computation of Turbulent Flow around Wigley Hull Using 4-Stage Runge-Kutta Scheme on Nonstaggered Grid)

  • 반석호;김형태
    • 대한조선학회논문집
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    • 제31권3호
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    • pp.87-99
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    • 1994
  • Reynolds Averaged Navier-Stokes 방정식을 수치해석하여 Wigley 선형 주위의 난류유동을 계산하였다. 정규격자상에서 공간의 이산화는 2차 정도의 유한차분법을, 시간의 적분에는 4단계 Runge-kutta법을 이용하였다. 시간 증분을 크게 하기 위하여 Jameson의 잔류항 평균 기법을 사용하였다. 압력 Poisson 방정식으로부터 압력장을 구하였고 난류닫음 조건을 만족시키기 위하여 Baldwin-Lomax의 난류 모형을 사용하였다. 수치계산은 레이놀드수가 $4.5{\times}10^6$에서 수행하였고 계산된 속도와 압력분포는 실험 결과와 비교적 잘 일치하는 것을 확인하였다.

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Vibro-acoustic modelling of immersed cylindrical shells with variable thickness

  • Wang, Xianzhong;Lin, Hongzhou;Zhu, Yue;Wu, Weiguo
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.343-353
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    • 2020
  • Based on the Precise Transfer Matrix Method (PTMM), the dynamic model is constructed to observe the vibration behaviour of cylindrical shells with variable thickness by solving a set of first-order differential equations. The free vibration of stiffened cylindrical shells with variable thickness can be obtained to compare with the exact solution and FEM results. The reliability of the present method of free vibration is well proved. Furthermore, the effect of thickness on the vibration responses of the cylindrical shell is also discussed. The acoustic response of immersed cylindrical shells is analyzed by a Pluralized Wave Superposition Method (PWSM). The sound pressure coefficient can be gained by collocating points along the meridian line to satisfy the Neumann boundary condition. The mode convergence analysis of the cylindrical shell is carried out to guarantee calculation precision. Also, the reliability of the present method on sound radiation is verified by comparing with experimental results and numerical results.

고차경계요소법에 의한 선체주위 유동해석 (Analysis of Steady and Unsteady Flow Around a Ship Using a Higher-Order Boundary Element Method)

  • 홍사영;최항순
    • 대한조선학회논문집
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    • 제32권1호
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    • pp.42-57
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    • 1995
  • 자유표면의 유동문제는 저항추진성능과 내항성능이 우수한 선박과 파랑중 작업성능이 우수한 해양구조물의 설계와 관련되어 조선해양공학분야에서 지속적으로 관심의 대상이 되어온 연구분야이다. 본 논문에서는 선체주위 유동을 정확하고 효율적으로 해석하기 위한 3차원 수치해법의 개발을 목적으로 하였다. 수치해법으로 경계요소법을 사용하였으며, 그린함수는 간단한 랜킨소오스를 사용하였다. 전 경계요소면은 8점 경계요소로 표시하여 기하학적 특성을 정밀하게 반영하고자 하였다. 자유표면에서 속도포텐셜의 변화를 정규화된 8점 경계요소에서 이중 2차 스플라인함수(bi-quadratic spline function)로 표시함으로써 자유표면에서의 수치감쇠 및 분산오차를 개선하였다. 한편 물체표면에서의 물리량은 8점 경계요소의 특성을 살려 이중 2차 다항식(bi-quadratic function)으로 근사하였다. 이와같이 계산영역에 따라 해의 특성에 부합하는 수치방법을 채택함으로써 수치해의 정확성과 효율성이 향상되도록 하였다. 개발한 수치해법의 효능을 검증하기 위해 계산예로서 정상유동 및 비정상유동의 경우 Neumann-Kelvin문제를 다루었다. 본 방법에 의한 몰수 타원체 및 Series 60선에 대한 조파저항 계산결과는 적은 파넬수를 사용하고도 기존의 계산치는 물론 실험치와 좋은 일치를 보였다. 변형된 Wigley선형에 대한 동유체력 계산결과도 기존의 실험치 및 계산치와 비교적 잘 일치하였다. 비정상 유동의 경우 랜킨소오스법에서 일반적으로 적용하는 상류방사조건은 무차원주파수가 1/4보다 큰 경우에만 유효하므로, 본 논문에서는 파동방정식 연산자를 이용하여 무차원주파수가 1/4보다 작은 경우에 적용할 수 있는 상류방사조건을 유도하였다. 수면하에서 전진하며 동요하는 소오스에 대하여 적용한 결과 본 논문에서 유도한 방사조건이 유효함을 입증하였다.

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모듈러 도로시스템의 동결-융해에 대한 수치해석적 연구 (Numerical Study on Freezing and Thawing Process in Modular Road System)

  • 신호성;김진욱;이장근;김동규
    • 한국지반공학회논문집
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    • 제33권3호
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    • pp.49-62
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    • 2017
  • 지반의 동결-융해 과정에 의한 지반구조물의 거동 특성을 이해하기 위해서는 지반내 간극수의 상변화와 지반과 구조물의 상호작용에 대한 이해가 필요하다. 본 연구에서는 모듈러 도로시스템의 동결융해의 영향에 대한 수치해석적 연구를 수행하였다. Neumann의 동결-융해 이론식을 이용하여 기본 지반 물성치와 지중과 지표면의 온도조건에 대한 동결심도와 히빙량을 예측할 수 있으나, 지반의 완전포화 및 완전동결의 제한된 경우에만 적용할 수 있다. 동결지수에 따른 모듈러 도로시스템의 수치해석은 다양한 지반조건과 지하수위에 대하여 수행되었다. 동결 히빙량은 화강풍화토이나 모래지반에 비하여 실트질 지반에서 매우 크게 발생하였으며, 지하수위의 저하는 동결 히빙량을 감소시켰다. 실트질 지반에 설치된 도로시스템의 온도이력에 대한 수치해석은 지표면의 동결-융해 과정을 거치면서 지표면에 잔류히빙을 예측하였다. 이는 지반의 강성과 지지력을 급격하게 감소시켜 모듈화 도로시스템의 안정성과 사용성을 저해할 수 있다. 다만, 화강풍화토와 모래지반의 경우는 잔류 히빙량은 미비한 것으로 나타났다. 모듈러 도로시스템은 기존 도로포장 시스템과 달리 지지구조 상부에 설치된 포장 구조물이므로, 포장 구조물의 균등 연직변위와 부등 변형에 대한 엄격한 기준이 적용되어야 할 것으로 사료된다.

동결건조 시스템에서 동결속도가 향미물질 보존에 미치는 영향 (Influence of Freezing Rate on the Aroma Retention in a Freeze Drying System)

  • 변명희;최미정;이성;민상기
    • 한국축산식품학회지
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    • 제18권2호
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    • pp.176-184
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    • 1998
  • The objective of this study was to investigate the effects of freezing rate on aroma retention and to examine the mechanism of aroma retention during freeze drying process. Our experiments were carried out with self-manufactured freeze-dryer. Gelatin gels (2% w / w, 80${\times}$20mm) containing diacetyl(2mg/ml) were frozen unidirectionally (Neumann's model) from the bottom at -45, -30, -20, and -15$^{\circ}C$ and followed with freeze-drying. Under the upper conditions we measured freezing rate and the change of temperature and pressure during freeze drying. Freeze-dried gelatins were cut horizontally into 5 mm thickness from the bottom measured and diacetly contents. Besides, we observed the effect of the relative humidity of the diacetyl contents freeze-dried gelatin during storage. The retained diacetyl content was increased at high freezing temperature and in order of 0∼5, 5∼10, 10∼15, 15∼20 mm section from the bottom of the sample. It was observed that the retained diacetyl content was high in 15∼20 mm section. The retained diacetyl content and freeze-dried gelatin stored in the condition of high relative humidity was decreased significantly but in the low relative humidity case, was it decreased in small amount. The results of our experiment resents that the low temperature freezing and low humidity storing condition is effective for preserving aroma compound in food.

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모델 식품으로 젤라틴 매트릭스에서 동결과정에 따른 얼음 결정체 변화 (Changes in Ice Dendrite Size during Freezing Process in Gelatin Matrix as a Model Food System)

  • 민상기;홍근표;최미정
    • 한국축산식품학회지
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    • 제28권3호
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    • pp.312-318
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    • 2008
  • The objective of this study was to investigate the changes in ice dendrite size during freezing process in gelatin matrix as a model food system in order to provide mathematical relation between freezing condition and ice dendrite size. Gelatin gel as a model matrix was frozen in unidirectional Neumann's type of heat transfer. The thermograms' analysis allowed to determine the freezing temperature of the sample, the position of the freezing front versus time, and thus, freezing front rate. The morphology of ice dendrites was observed by scanning electron microscopy after freeze-drying. We observed that the means size of ice dendrite increased with the distance to the cooling plate; however, it decreased with the cooling rate and the cooling temperature. In addition, the shorter durations of the freeze-drying process was shorter decreeing the decreased the freezing front rate, resulted in their resulting in a larger pore size of the ice dendrite pores for the sublimation channel of that operate as water vapor sublimation channels. From these results, we could derive a linear regression as an empirical mathematical model equation between the ice dendrite size and the inverse of freezing front rate.

선박 프로펠러 후류 및 조류에 의해 발생한 힘이 가두리 양식장 구조물에 미치는 영향에 관한 연구 (On Study of the Effects of External Forces on the Fish Farm Structure Due to Following Flows and Currents in Fully Operated Ship's Propeller)

  • 이귀주;라영곤;김경화;류태호
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 추계학술대회 논문집
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    • pp.245-250
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    • 2002
  • This report describes the effects of following flaws due to ship's propeller on the fish farm structure when the ship's propeller is operated in full power. This study is applied an incompressible newtonian fluid theory, which is governed the Navier-Stokes equation. For the numerical solution, Neumann equation are applied as the boundary conditions. The result shows that the flow velocity near the fish farm is 1.0 m/sec. The actual measurement carries out by using propeller type velocimeter in order to measure the velocity of following flows and currents around the fish farm area. The result shows that the maximum velocity near the fish farm structure is 1.2 m/sec in depth of 1.5 m. This velocity is used for calculation of external force on the fish farm structure. The results of structural strength of the fish farm structures show that the actual maximum bending moment and bending stress are less than the damage strength of material. So the fish farm structure is not affected by the following flows and currents of ship's propeller.

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