• 한국원자력학회:학술대회논문집
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• 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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• pp.157-162
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• 1996

A novel nodal method is developed for the two-dimensional multi-group diffusion equations based on the Spectral-Galerkin approach. In this study, the nodal diffusion equations with Robin boundary condition are reformulated in a weak (variational) form, which is then approximated spatially by choosing appropriate basis functions. For the nodal coupling relations between the neighbouring nodes, the continuity conditions of partial currents are utilized. The resulting discrete systems with sparse structured matrices are solved by the Preconditioned Conjugate Gradient Method (PCG) and sweeping technique. The method is validated on two test problems.

• 대한조선학회논문집
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• 제33권4호
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• pp.48-59
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• 1996

비정상 점성유동 수치해석단계는 연속방정식을 만족시키는 공간해석단계와 시간전진단계로 구분할 수 있다. 본 연구에서는 공간해석단계의 압력 Poisson 방정식의 해를 구하는데 스팩트럴법을 이용하였다. 압력 Poisson 방정식의 최고차미분항을 Fourier 급수로 전개하면 압력 및 압력의 1차미분항의 Fourier 급수의 적분으로 표현되므로 Gibb's 현상을 제거할 수 있어, 비주기성인 경우에도 스팩트럴법을 적용할 수 있다. 수치해법의 검증을 위하여 2차원 원주상체 및 날개주위 비정상 점성유동을 수치해석하였고, 그 결과를 비교하여 보았다.

• 한국해안·해양공학회논문집
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• 제36권2호
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• pp.70-79
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• 2024

본 연구에서는 3차원 공간에서 바닥의 움직임에 따른 선형파의 생성을 모의할 수 있는 스펙트럼 법을 소개한다. 지배방정식은 선형의 동역학적 및 운동학적 자유수면 경계조건이며, 두 식은 Fourier 공간에서 해석된다. 해석된 속도포텐셜 및 자유수면변위는 연속방정식과 운동학적 바닥경계조건을 항상 만족해야 한다. 수치해석에서 시간 적분은 4차 Runge-Kutta 법을 이용하여 해석하였다. Fourier 공간에서 해석한 결과는 Fourier 역변환을 통해 실제 공간에서의 속도포텐셜과 자유수면변위로 표현된다. 본 수치모델을 이용하여 다양한 형상의 바닥이 규칙적으로 움직이는 경우 생성되는 규칙파에 대해 모의하였다. 또한 바닥의 움직임을 이용하여 비스듬히 전파하는 규칙파의 생성도 모의하였다. 수치모델의 결과는 해석해와 비교하였으며, 거의 일치하는 결과를 보였다.

• 한국전자통신학회논문지
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• 제17권3호
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• pp.393-398
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• 2022

윈드프로파일러 시제품의 시험 운용 기간 중 스펙트럼에 전파 간섭(RFI: Radio Frequency Interference) 오염이 발생하였다. 윈드프로파일러 spectra에 나타나는 전파 간섭 제거 알고리즘의 개발 과정과 그 결과를 조사하였고, 전파 간섭을 제거하기 위한 새로운 알고리즘을 개발하였다. 스펙트럼 폭의 임계값 0.1 m/s로 우선 필터링하고 연직 빔인지 경사 빔인지에 따라 동일한 시선속도가 연속되는 gate 수 범위를 결정하였다. 전파 간섭 오염은 비기상 신호의 필터링과 스캔을 통해 제거되었고, 개선된 스펙트럼의 시선속도로부터 산출된 바람벡터의 연속성으로 검증되었다.

• Kyungpook Mathematical Journal
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• 제61권4호
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• pp.831-843
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• 2021

In this paper we look at the three dimensional stagnation point flow problem over a rough rotating disk. We study the theoretical behaviour of the stagnation point flow, or forced flow, in the presence of a slip factor in which convective instability stationary modes appear. We make a numerical investigation of the effects of slip on the behaviour of the flow components of the stagnation point flow where the disk is rough. We provide, for the first time in the literature, a complete convective instability analysis and an energy analysis. Suitable similarity transformations are used to reduce the Navier-Stokes equations and the continuity equation into a system of highly non-linear coupled ordinary differential equations, and these are solved numerically subject to suitable boundary conditions using the bvp4c function of MATLAB. The convective instability analysis and the energy analysis are performed using the Chebyshev spectral method in order to obtain the neutral curves and the energy bars. We observe that the roughness of the disk has a destabilising effect on both Type-I and Type-II instability modes. The results obtained will be prominently treated as benchmarks for our future studies on stagnation flow.

• Geomechanics and Engineering
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• 제12권1호
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• pp.161-183
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• 2017

This paper investigates the damage identification of the concrete pile element through axial wave propagation technique using computational and experimental studies. Now-a-days, concrete pile foundations are often common in all engineering structures and their safety is significant for preventing the failure. Damage detection and estimation in a sub-structure is challenging as the visual picture of the sub-structure and its condition is not well known and the state of the structure or foundation can be inferred only through its static and dynamic response. The concept of wave propagation involves dynamic impedance and whenever a wave encounters a changing impedance (due to loss of stiffness), a reflecting wave is generated with the total strain energy forked as reflected as well as refracted portions. Among many frequency domain methods, the Spectral Finite Element method (SFEM) has been found suitable for analysis of wave propagation in real engineering structures as the formulation is based on dynamic equilibrium under harmonic steady state excitation. The feasibility of the axial wave propagation technique is studied through numerical simulations using Elementary rod theory and higher order Love rod theory under SFEM and ABAQUS dynamic explicit analysis with experimental validation exercise. Towards simulating the damage scenario in a pile element, dis-continuity (impedance mismatch) is induced by varying its cross-sectional area along its length. Both experimental and computational investigations are performed under pulse-echo and pitch-catch configuration methods. Analytical and experimental results are in good agreement.

• Korean Journal of Mathematics
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• 제21권1호
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• pp.75-80
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• 2013

Let T be a bounded linear operator on a complex Hilbert space $\mathfrak{H}$. An operator T is called class A operator if ${\mid}T^2{\mid}{\geq}{\mid}T{\mid}^2$ and is called class $A({\kappa})$ operator if $(T^*{\mid}T{\mid}^{2{\kappa}}T)^{\frac{1}{{\kappa}+1}}{\geq}{\mid}T{\mid}^2$ for a positive number ${\kappa}$. In this paper, we show that ${\sigma}$ is continuous when restricted to the set of class $A({\kappa})$ operators.

• 대한원격탐사학회지
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• 제18권5호
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• pp.299-303
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• 2002

Many ocean color sensors are being operated at present and will be continued to operatein the coming years. However, these ocean color sensors have different spectral bands locations and higher level product algorithms. Thus the continuity of ocean color data from the satellite with different missions will be important for monitoring of oceanographic variation with long term research. In this study, CZCS band and algorithm are compared with OCTS and SeaWiFS algorithm for estimating chlorophyll. Missing bands of OCTS and CZCS for chlorophyll algorithm are estimated by linear-interpolation using SeaWiFS data. We were able to evaluate the effectiveness of the correction methods using linear interpolation method. Surprisingly, linear interpolation gave a better result than those of other bands.

• 대한수학회지
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• 제54권2호
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• pp.461-477
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• 2017

A dual substructuring method with a penalty term was introduced in the previous works by the authors, which is a variant of the FETI-DP method. The proposed method imposes the continuity not only by using Lagrange multipliers but also by adding a penalty term which consists of a positive penalty parameter ${\eta}$ and a measure of the jump across the interface. Due to the penalty term, the proposed iterative method has a better convergence property than the standard FETI-DP method in the sense that the condition number of the resulting dual problem is bounded by a constant independent of the subdomain size and the mesh size. In this paper, a further study for a dual iterative substructuring method with a penalty term is discussed in terms of its convergence analysis. We provide an improved estimate of the condition number which shows the relationship between the condition number and ${\eta}$ as well as a close spectral connection of the proposed method with the FETI-DP method. As a result, a choice of a moderately small penalty parameter is guaranteed.

• 한국방송∙미디어공학회:학술대회논문집
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• 한국방송공학회 2012년도 하계학술대회
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• pp.164-166
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• 2012

In this paper, we proposed a method for extracting predominant melody of polyphonic music based on harmonic structure. Harmonic structure is an important feature parameter of monophonic signal that has spectral peaks at the integer multiples of its fundamental frequency. We extract all fundamental frequency candidates contained in the polyphonic signal by verifying the required condition of harmonic structure. Then, we combine those harmonic peaks corresponding to each extracted fundamental frequency and assign a rank to each after calculating its harmonic average energy. We run pitch tracking based on the rank of extracted fundamental frequency and continuity of fundamental frequency, and determine the predominant melody. For the query by singing/humming (QbSH) task, we proposed Dynamic Time Warping (DTW) based matching engine. Our system reduces false alarm by combining the distances of multiple DTW processes. To improve the performance, we introduced the asymmetric sense, pitch level compensation, and distance intransitiveness to DTW algorithm.