• 자원환경지질
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• 제18권2호
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• pp.159-166
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• 1985

Multipole 확장에 의한 중력이상의 계산식이 유도되고, 직각 prism과 원기둥 모양의 물체에 대하여 중력을 계산하며 정확한 계산과 비교 연구를 한다. 근거리에 있는 source의 multipole확장은 표면적분보다 체적적분이 더 좋은 근사치를 얻게한다. 그렇지만 지구물리탐사의 실제에 있어 흔히 나타나는 원거리의 source에 대해서는 이 두 접근 방법은 서로 일치하게 됨을 알 수 있다.

• 공업화학
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• 제20권6호
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• pp.646-652
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• 2009

본 연구는 표면에 액체 막이 입혀진 구 입자를 지나는 기체의 흐름이 구 입자에 작용하는 항력을 결정하는 3상계 문제를 다룬다. 기체 흐름의 관성은 무시할 정도로 작으며, 구 입자의 표면에서 액체는 중력에 의해 흐르고 액체 막이 기체 흐름에 영향을 받지 않는 경우를 고려한다. SC (simple cubic), BCC (body centered cubic), FCC (face centered cubic) 각 배열의 구 입자들에 대해 외란 기법(perturbation method)과 멀티폴 전개(multipole expansion) 방법을 이용하여 입자들의 수력학적 상호 작용을 계산하고 궁극적으로 액체 막과 액체의 흐름이 기체 흐름에 미치는 영향을 수치적으로 결정한다. 근사적인 방법으로 액체 막의 효과에 구하고 이를 엄밀한 계산 값들과 비교한 결과, 대체로 일치함을 보인다.

• 대한전자공학회논문지
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• 제26권4호
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• pp.16-26
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• 1989

임의의 각을 가진 쇄기형 유전체의양 경계면을 E-편파된 평면화가 입사할 경우 발생하는 전자파의 회절패턴을 기하광학해와 모서리회절파의 합으로 표시하였다. 모서리 회절파의 회절계수는 물리광학근사로 구한 회절계수를 모서리 끝에 분포한 다극선전원으로 수정하여 구하였다. 쇄기각 $120^{circ}$, 입사각 $60^{circ}$ 인 유전체의 비전율을 2, 5, 10으로 변화시키고, 측정거리도 모서리 끝점으로 부터 5와 10파장인 경우에 대해 기하광학해와, 물리광학해, 다극선전원으로 교정한 수정해 순으로 각각의 회절패턴을 그림으로 나타내었다. 본 논문에서 구한 수정해는 모서리 끝점으로 부터 멀리 떨어진 곳에서만 유용한 점근해임을 알 수 있으나, 유전체 경계면에서 경계조건을 만족함을 보였다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 추계학술대회논문집
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• pp.1101-1106
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• 2004

This study presents the reconstruction of sound field radiated from an automotive engine using equivalent sources. Basic concept of the method presented is to replace the engine noise source with elementary sources of multipoles, e.g., monopoles and dipoles. The so-called Helmholtz equation least-squares (HELS) method can reconstruct the sound radiation fields from spherical geometries in a series expansion of spherical Hankel functions and spherical harmonics. In this paper, multi-Point, multipole equivalent sources are employed to reconstruct the sound field radiated from an automotive engine with a fixed rotation speed. To ensure and improve the accuracy of reconstruction, the spatial filters of multipole coefficients and wave-vectors are adopted for suppressing the adverse effect of high-order multipoles. Optimal filter shapes are designed with regularization parameters minimizing the generalized cross validation (GCV) function between actual and reproduced model. After regeneration of field pressures using the proposed method as many as necessary, the vibro-acoustic field of an engine could be reconstructed by using the BEM-based near-field acoustic holography (NAH) technique in a cost-effective manner.

• 한국전자파학회논문지
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• 제29권9호
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• pp.701-706
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• 2018

본 논문에서는 임의의 대형구조의 전자기 특성을 효율적으로 해석하기 위해 대표적인 전자기 수치해석 기법의 하나인 모멘트법 기반 직접풀이법 중 CBFM의 원거리 상호작용 계산의 가속화 알고리즘을 제안하였다. 대형구조의 전자기 특성해석을 위해서는 계산시간의 단축이 필수적이며, CBFM 해석법에서 원거리 블록 간의 상호작용을 다중극전개방법을 사용한 근사화를 통해 복잡도를 크게 감소시킨 수식을 도출하였다. 본 논문에서 제안된 새로운 알고리즘을 도체구와 전투기의 레이다 단면적 계산에 적용하여 기존의 CBFM과 비교하여 정확도 손실 없이 계산시간이 각각 34 %, 74 % 단축되어 대형구조 문제해석에 효율적이라는 것을 확인하였다.

• 천문학회보
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• 제38권1호
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• pp.47.2-47.2
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• 2013

We have performed a set of high-resolution simulations of nuclear star-forming ring that results in an inward gas migration from the galactic disk. Our simulations consider gas heating/cooling, star formation, and supernova feedback. The galactic potential was obtained from a snapshot of a 6.3 million particle simulation of a galactic disk at 1 Gyr, which manifests spiral arms and pseudo-bulge. The potential was modeled with a combination of 3-dimensional spherical (for the pseudo-bulge) and 2-dimensional cylindrical (for the disk) multipole expansion technique. With such a potential model, one can easily set up various realistic 3-dimensional potential models by slightly changing the expansion coefficients. We have performed a set of simulations with a few million gas particles covering the central ~6 kpc of the disk for different pseudo-bulge sizes and non-axisymmetry, and we report the dependence of the gas inflow rate, size of the star-forming ring, and star-formation rate in the ring on the size and strength of the non-axisymmetry in the bulge.

• 천문학회보
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• 제40권1호
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• pp.59.1-59.1
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• 2015

We present hydrodynamic simulations of gas clouds that inflowing from the disk to a few hundred parsec region of the Milky Way. Realistic Galactic structures are included in our simulations by thousands of multipole expansions that describe 6.4 million stellar particles of a self-consistent Galaxy simulation (Baba, Saitoh & Wada, in prep.). We find that a hybrid multipole expansion model with two different basis sets and a thick disk correction well reproduces the overall structures of the Milky Way. We find that the nuclear ring evolves into 240 pc at T~1500 Myr, regardless of the initial size. For most of simulation runs, gas inflow rate to the nuclear region is equilibrated as ~0.02 Msun/yr, and thus accumulated gas mass and star formation activity is stabilized as $6{\times}10^7Msun$ and ~0.02M/yr, respectively. These stabilized values are in a good agreement with estimations for the CMZ. The nuclear ring is off-centered to the Galactic center by the lopsided central mass distribution of the Galaxy model, and thus an asymmetric mass distribution is arose accordingly. The lopsidedness also leads the nuclear ring to be tilted to the Galactic plane and to precess along the Galaxy rotation. In early evolutionary stage when gas clouds start to inflow and form the nuclear ring, the z-directional oscillations of the gas clouds results in the twisted, infinity-shaped nuclear ring. Since the infinity-shaped feature is transient only for first 100 Myr, the current infinity-shape observed in the CMZ may indicate that the CMZ forms quite recently.

• Journal of Korean Society for Atmospheric Environment
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• 제9권E호
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• pp.347-357
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• 1993

The Lagrangian grid-free numerical method, the discrete vortex method, was applied to solve the Navier-Stokes euqations. This method avoids the introduction of numerical viscosity swamping the real physical viscosity at high Reynolds number, unlike Eulerian method, e.g. finite difference and element methods. The boundary integral equation method for the potential flow solution was included to make the discrete vortex method more feasible for complex geometries. The fast adaptive multipole expansion method was incorporated to reduce the computational time from $O(N^2)$ to O(N) for the computations of vortex-vortex interactions. The test problems were air flow around one circular cylinder and two circular cylinders in tandem with various gaps. The numerical results were in excellent gareement with the experimental and other computational results. The applicabilty of the method was discussed with the indoor and the outdoor air pollution problems, especially the contaminant transport in the recirculation regions.

• 대한조선학회지
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• 제18권1호
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• pp.19-27
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• 1981

The surge motion of a freely-floating sphere in a regular wave is studied within the framework of a linear potential theory. The fluid is assumed to be perfect and only the steady-state harmonic motion in a water of infinite depth is considered. A velocity potential describing the fluid motion is decomposed into three parts; the incident wave potential, the diffraction potential and the radiation potential. In this paper the diffraction potential and the radiation potential are analysed by using multipole expansion method. Upon calculating pressures over the immersed surface of the sphere, the hydrodynamic forces are evaluated in terms of Froude-Krylov, diffraction, added mass and damping forces as functions of the frequency of the incident wave. Finally the frequency dependence of two pertinent parameters, the amplitude ratio and the phase lag between the motion of the sphere and that of the incident wave is derived from the equation of motion. As for numerical results the general tendency of the present calculation shows good agreement with Kim's work who also treated this problem utilizing the Green's function method.

• Bulletin of the Korean Chemical Society
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• 제27권11호
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• pp.1752-1756
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• 2006

This study explores and interprets in a new way the complex solvent and the temperature dependence of the NMR shifts for the N-$CH_2$ protons in tris(N,N-diethyldithiocarbamato) iron(III) in acetone, benzene, carbon disulfide, chloroform, dimethylformamide and pyridine. The NMR shifts are interpreted in terms of the Fermi contact interaction and the dipolar term from the multipole expansion of the interaction of the electron orbital angular momentum and the electron spin dipolar-nuclear spin angular momentum. This analysis yields a direct measure of the effect of the solvent system on the environment of the transition metal ion. The results are analysed in terms of the crystal field environment of the transition metal ion with contributions from (a) the dithiocarbamate ligand (b) the solvent molecules and (c) the interaction of the effective dipole moment of the polar solvent molecule with the transition metal ion complex.