• 제목/요약/키워드: finite difference technique

검색결과 332건 처리시간 0.028초

직접수치모사를 통한 Wavy Channel 내의 난류 유동 구조의 연구 (The study of turbulent flow structures in a wavy channel using direct numerical simulation)

  • 이대성;하만영;윤현식;전호환;전충환
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.1807-1812
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    • 2004
  • Sinusoidal wavy channel is one of the most commonly used devices in the industry for achieving mixing and heat transfer. Here we report on results obtained from the DNS of flow inside the wavy channel performed using the finite volume technique. As a primary stage to obtain the optimal design for heat transfer and mixing, this study observed the basic flow structures in a wavy channel. The mass flow rate is kept constant with friction Reynolds number of $Re_{\tau}$ = 140 . Time- and space-averaged and instantaneous flow fields are illustrated to observe the flow structures. Although the direct comparison of results between turbulent wavy and flat channel is somehow difficult due to the different flow phenomena derived from different configuration, here the mean streamwise velocity and RMS of velocities at same $Re_{\tau}$ of two different channels are compared. The basic difference between wavy and flat channel flow is the existence of small scale wall vortices along the walls in a wavy channel. These vortices make flow more complex, which will accompany the increase of heat transfer, pressure drop and drag.

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다양한 주파수 및 토양 조건에서 지뢰 탐지용 지표투과레이더 수신신호의 수치해석 (Numerical Analysis of the Ground Penetrating Radar's Return Signal for Mine Detection at Various Frequencies and Soil Conditions)

  • 홍진영;주정명;한승훈;오이석
    • 한국전자파학회논문지
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    • 제23권12호
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    • pp.1412-1415
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    • 2012
  • 본 논문에서는 주파수 및 토양의 수분 함유량 변화에 따라 지뢰 탐지용 지표투과레이더의 수신신호를 분석하였다. 한국 표준 토양인 식양토를 기준으로 토양의 유전율, 도전율 및 전자파 감쇄 손실을 계산하였고, FDTD를 이용하여 다양한 주파수에 따른 지표투과레이더의 지뢰 탐지 영상을 생성하였다. 레이더의 표적 신호 대 클러터 신호 비(SCR) 및 수신 전력을 분석하였으며, 주파수 가변 채널 방식이 다양한 토양 조건에서 지뢰 탐지용 지표 투과레이더에 적합함을 보였다.

A Numerical Solution of Transport of Mono- and Tri-valent Cations during Steady Water Flow in a Binary Exchange System

  • Ro, Hee-Myong;Yoo, Sun-Ho
    • Journal of Applied Biological Chemistry
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    • 제43권1호
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    • pp.18-24
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    • 2000
  • A one-dimensional transport of displacing monovalent ion, $A^+$, and a trivalent ion being displaced, $B^{3+}^ in a porous exchange system such as soil was approximated using the Crank-Nicolson implicit finite difference technique and the Thomas algorithm in tandem. The variations in the concentration profile were investigated by varying the ion-exchange equilibrium constant (k) of ion-exchange reactions, the influent concentrations, and the cation exchange capacity (CEC) of the exchanger, under constant flux condition of pore water and dispersion coefficient. A higher value of k resulted in a greater removal of the native ion, behind the sharper advancing front of displacing ion, while the magnitude of the penetration distance of $A^+$ was not great. As the CEC increased, the equivalent fraction of $B^{3+}^ initially in the soil was greater, thus indicating that a higher CEC adsorbed trivalent cations preferentially over monovalent ions. Mass balance error from simulation results was less than 1%, indicating this model accounted for instantaneous charge balance fairly well.

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A multilevel in space and energy solver for multigroup diffusion eigenvalue problems

  • Yee, Ben C.;Kochunas, Brendan;Larsen, Edward W.
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1125-1134
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    • 2017
  • In this paper, we present a new multilevel in space and energy diffusion (MSED) method for solving multigroup diffusion eigenvalue problems. The MSED method can be described as a PI scheme with three additional features: (1) a grey (one-group) diffusion equation used to efficiently converge the fission source and eigenvalue, (2) a space-dependent Wielandt shift technique used to reduce the number of PIs required, and (3) a multigrid-in-space linear solver for the linear solves required by each PI step. In MSED, the convergence of the solution of the multigroup diffusion eigenvalue problem is accelerated by performing work on lower-order equations with only one group and/or coarser spatial grids. Results from several Fourier analyses and a one-dimensional test code are provided to verify the efficiency of the MSED method and to justify the incorporation of the grey diffusion equation and the multigrid linear solver. These results highlight the potential efficiency of the MSED method as a solver for multidimensional multigroup diffusion eigenvalue problems, and they serve as a proof of principle for future work. Our ultimate goal is to implement the MSED method as an efficient solver for the two-dimensional/three-dimensional coarse mesh finite difference diffusion system in the Michigan parallel characteristics transport code. The work in this paper represents a necessary step towards that goal.

지표레이다 자료에 대한 회절지오토모그래피의 적용성 연구 (Application of Diffraction Tomography to GPR Data)

  • 김근영;신창수;서정희
    • 지구물리와물리탐사
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    • 제1권1호
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    • pp.64-70
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    • 1998
  • 회절지오토모그래피는 정량적으로 고 분해능의 지하구조를 구하는 영상화 기법이다. 일반적으로 회절지오토모그래피는 시추공-시추공 자료의 영상단면을 구하는데 적용된다. 본 연구에서는 일반적인 지표레이다 탐사자료로부터 고 분해능의 지하구조를 영상화하는 회절지오토모그래피 알고리듬을 구성하였다. 개발된 알고리듬을 유한차분 모형응답자료에 적용하여 적용조건, 적용한계 등을 살펴보았다. 역산 매개변수들(영상화 주파수의 개수, 평활화 계수, 주파수 영역)을 약산란 가정에 부합하는 고립형 대상체로부터 추정하였다. 또한 약산란 가정에 위배되는 모형에 적용하여 알고리듬의 유용성을 확인하였다.

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일차원 동특성 프로그램 개발 (Development of One Dimensional Kinetics Program)

  • Chan Bock Lee;Chang Hyun Chung;Bub Dong Chung
    • Nuclear Engineering and Technology
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    • 제18권2호
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    • pp.71-77
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    • 1986
  • 원자로 노심을 축방향으로 일차원 해석을 하고, 가입경수로형원자로의 안전성 해석에 적용할 수 있는 중성자 동특성프로그램 BIK를 개발하였다. BIK프로그램내에서 공간변수에 대해서는 유한차분법이, 시간변수에 대해서는 $\theta$-시간적분법이 채택되었다. 또한 도플러 및 감속재 궤환과 제어봉구동 등을 자세히 묘사하는 모델들이 포함되었다 핵모델의 검증은 ANL검증문제를 통해 이루어졌고, 고리 1호기의 제어봉 인출사고시의 노심출력 변화를 계산하였다. 이상의 계산결과 BIK동특성프로그램이 노심의 중성자 속 변화를 일차원해석의 한계내에서 비교적 정착하게 묘사할 수 있으며, 가압경수로형 원자로의 안전성 해석에 유용하게 사용될 수 있다는 것이 증명되었다.

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Structural integrity assessment procedure of PCSG unit block using homogenization method

  • Gyogeun Youn;Wanjae Jang;Youngjae Jeon;Kang-Heon Lee;Gyu Mahn Lee;Jae-Seon Lee;Seongmin Chang
    • Nuclear Engineering and Technology
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    • 제55권4호
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    • pp.1365-1381
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    • 2023
  • In this paper, a procedure for evaluating the structural integrity of the PCSG (Printed Circuit Steam Generator) unit block is presented with a simplified FE (finite element) analysis technique by applying the homogenization method. The homogenization method converts an inhomogeneous elastic body into a homogeneous elastic body with same mechanical behaviour. This method is effective when the inhomogeneous elastic body has repetitive microstructures, and thus the method was applied to the sheet assembly among the PCSG unit block components. From the method, the homogenized equivalent elastic constants of the sheet assembly were derived. The validity of the determined material properties was verified by comparing the mechanical behaviour with the reference model. Thermo-mechanical analysis was then performed to evaluate the structural integrity of the PCSG unit block, and it was found that the contact region between the steam header and the sheet assembly is a critical point where large bending stress occurs due to the temperature difference.

Time-reversal microwave focusing using multistatic data

  • Won-Young Song;Soon-Ik Jeon;Seong-Ho Son;Kwang-Jae Lee
    • ETRI Journal
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    • 제46권2호
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    • pp.333-346
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    • 2024
  • Various techniques for noninvasively focus microwave energy on lesions have been proposed for thermotherapy. To focus the microwave energy on the lesion, a focusing parameter, which is referred to as the magnitude and phase of microwaves radiated from an external array antenna, is very important. Although the finite-difference time-domain (FDTD)-based time-reversal (TR) focusing algorithm is widely used, it has a long processing time if the focusing target position changes or if optimization is needed. We propose a technique to obtain multistatic data (MSD) based on Green's function and use it to derive the focusing parameters. Computer simulations were used to evaluate the electric fields inside the object using the FDTD method and Green's function as well as to compare the focusing parameters using FDTD- and MSD-based TR focusing algorithms. Regardless of the use of Green's function, the processing time of MSD-based TR focusing algorithms reduces to approximately 1/2 or 1/590 compared with the FDTD-based algorithm. In addition, we optimize the focusing parameters to eliminate hotspots, which are unnecessary focusing positions, by adding phase-reversed electric fields and confirm hotspot suppression through simulations.

Probabilistic bearing capacity of circular footing on spatially variable undrained clay

  • Kouseya Choudhuri;Debarghya Chakraborty
    • Geomechanics and Engineering
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    • 제38권1호
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    • pp.93-106
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    • 2024
  • The present paper investigates the spatial variability effect of soil property on the three-dimensional probabilistic characteristics of the bearing capacity factor (i.e., mean and coefficient of variation) of a circular footing resting on clayey soil where both mean and standard deviation of undrained shear strength increases with depth, keeping the coefficient of variation constant. The mean trend of undrained shear strength is defined by introducing the dimensionless strength gradient parameter. The finite difference method along with the random field and Monte Carlo simulation technique, is used to execute the numerical analyses. The lognormal distribution is chosen to generate random fields of the undrained shear strength. In the study, the potential failure of the structure is represented through the failure probability. The influences of different vertical scales of fluctuation, dimensionless strength gradient parameters, and coefficient of variation of undrained shear strength on the probabilistic characteristics of the bearing capacity factor and failure probability of the footing, along with the probability and cumulative density functions, are explored in this study. The variations of failure probability for different factors of safety corresponding to different parameters are also illustrated. The results are presented in non-dimensional form as they might be helpful to the practicing engineers dealing with this type of problem.

Time-Multiplexed RF Transmission to Improve $B_1$ Homogeneity in High Field MRI

  • Han, Byung-Hee;Seo, Jeung-Hun;Heo, Hye-Young;Lee, Soo-Yeol
    • 대한의용생체공학회:의공학회지
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    • 제29권2호
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    • pp.99-106
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    • 2008
  • To improve $B_1$ homogeneity in high field MRI, the RF power is applied to the transmit array coil elements sequentially in the time-multiplexed way. Since only a single coil element is activated in a time-multiplexing slot, the global standing wave formation in the human body is greatly suppressed. The time-multiplexing slot width is on the order of micro seconds, hence, high-order-harmonic slices can be placed far from the transmit coil and simultaneous multiple slice selection can be avoided. The $B_1$ homogeneities of a birdcage coil and an eight-channel transmit array coil have been compared through finite difference time domain simulations. The simulation results indicate that the proposed technique can reduce the peak-to-peak $B_1$ inhomogeneity down to one fourth of the transmission with a birdcage coil on the central plane of the human head model at 3 T. The mimicking experiments at 3 T, eight separate experiments with a single coil element activated and image reconstruction by combining the eight images, also show promising results. It is expected that the proposed technique has some advantages over other $B_1$ improving methods in real practice since simple RF switching circuitries are only necessary and electromagnetic coupling between the coil elements is out of concern in its realization.