• Title/Summary/Keyword: Vector wave equation

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Level Set Method Applied on Pseudo-compressibility Method for the Analysis of Two-phase Flow (Pseudo-compressibility 방법에서 이상유동 해석을 위한 Level Set방법의 적용)

  • Ihm Seung-Won;Kim Chongam;Shim Jae-Seol;Lee Dong-Young
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.3
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    • pp.158-165
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    • 2005
  • In order to analyze incompressible two-phase flow, Level Set method was applied on pseudo-compressibility formulation. Level Set function is defined as a signed distance function from the phase interface, and gives the information of the each phase location and the geometric data to the flow. In this study, Level Set function transport equation was coupled with flow conservation equations, and owing to pseudo-compressibility technique we could solve the resultant vector equation iteratively. Two-phase flow analysis code was developed on general curvilinear coordinate, and numerical tests of bubble dynamics and surging wave problems demonstrate its capability successfully.

Comparison and Analysis for Open-circuit Field of PM Machines with Halbach and Circumferential Magnetized Rotor (Halbach자화 및 원주방향 자화된 회전자를 갖는 영구자석 기기의 무부하시 자계분포 특성해석 및 비교)

  • Jang, Seok-Myeong;Choi, Jang-Young;Cho, Han-Wook;Yang, Hyun-Sup;Lee, Sung-Ho;Jeong, Sang-Sub
    • Proceedings of the KIEE Conference
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    • 2004.10a
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    • pp.86-88
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    • 2004
  • This paper deals with the comparison and analysis for open-circuit field of PM(permanent magnet) machines with Halbach and circumferential magnetized rotor. The governing equation is derived in terms of magnetic vector potential and 2-d polar coordinate. And then, analytical results has been verified by comparison with those obtained from FE(finite element) method. On the basis of 2-d analytical results, this paper confirms that PM machines with circumferential magnetized rotor is superior to it with Halbach magnetized rotor in terms of magnitude and sinusoidal wave-forms of flux density due to PM and required magnet volume.

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Accurate Formulas for Frequency-Dependent Resistance and Inductance Per Unit Length of On-Chip Interconnects on Lossy Silicon Substrate

  • Ymeri, H.;Nauwelaers, B.;Maex, K.;Roest, D.De;Vandenberghe, S.;Stucchi, M.
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.2 no.1
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    • pp.1-6
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    • 2002
  • A new closed-form expressions to calculate frequency-dependent distributed inductance and the associated distributed series resistance of single interconnect on a lossy silicon substrate (CMOS technology) are presented. The proposed analytic model for series impedance is based on a self-consistent field method and the vector magnetic potential equation. It is shown that the calculated frequency-dependent distributed inductance and the associated resistance are in good agreement with the results obtained from rigorous full wave solutions and CAD-oriented equivalent-circuit modeling approach.

Bistatic Scattering Cross-Section of a Spherical Conductor (완전도체구의 산란특성)

  • 우종명
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.9 no.3
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    • pp.338-346
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    • 1998
  • In-Building communication network is realized by spherical reflector installed on the ceiling and a pair of circularly polarized antennas. Before realizing the system, the scattering characteristics of a spherical conductor is computed and experimented. In this paper, the computational results using vector spherical wave equation and experimental results of the scattering characteristics of a spherical conductor are dicussed. From the results, the omnidirectional scattering level is confirmed and polarity difference over 13 dB is ensured in light region. With the base on omnidirectional scattering pattern of spherical conductor in light region, spherical reflector is effectable in as Wireless In-Building communication network.

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Acceleration of Anisotropic Elastic Reverse-time Migration with GPUs (GPU를 이용한 이방성 탄성 거꿀 참반사 보정의 계산가속)

  • Choi, Hyungwook;Seol, Soon Jee;Byun, Joongmoo
    • Geophysics and Geophysical Exploration
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    • v.18 no.2
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    • pp.74-84
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    • 2015
  • To yield physically meaningful images through elastic reverse-time migration, the wavefield separation which extracts P- and S-waves from reconstructed vector wavefields by using elastic wave equation is prerequisite. For expanding the application of the elastic reverse-time migration to anisotropic media, not only the anisotropic modelling algorithm but also the anisotropic wavefield separation is essential. The anisotropic wavefield separation which uses pseudo-derivative filters determined according to vertical velocities and anisotropic parameters of elastic media differs from the Helmholtz decomposition which is conventionally used for the isotropic wavefield separation. Since applying these pseudo-derivative filter consumes high computational costs, we have developed the efficient anisotropic wavefield separation algorithm which has capability of parallel computing by using GPUs (Graphic Processing Units). In addition, the highly efficient anisotropic elastic reverse-time migration algorithm using MPI (Message-Passing Interface) and incorporating the developed anisotropic wavefield separation algorithm with GPUs has been developed. To verify the efficiency and the validity of the developed anisotropic elastic reverse-time migration algorithm, a VTI elastic model based on Marmousi-II was built. A synthetic multicomponent seismic data set was created using this VTI elastic model. The computational speed of migration was dramatically enhanced by using GPUs and MPI and the accuracy of image was also improved because of the adoption of the anisotropic wavefield separation.

Parallel Computation on the Three-dimensional Electromagnetic Field by the Graph Partitioning and Multi-frontal Method (그래프 분할 및 다중 프론탈 기법에 의거한 3차원 전자기장의 병렬 해석)

  • Kang, Seung-Hoon;Song, Dong-Hyeon;Choi, JaeWon;Shin, SangJoon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.50 no.12
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    • pp.889-898
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    • 2022
  • In this paper, parallel computing method on the three-dimensional electromagnetic field is proposed. The present electromagnetic scattering analysis is conducted based on the time-harmonic vector wave equation and the finite element method. The edge-based element and 2nd -order absorbing boundary condition are used. Parallelization of the elemental numerical integration and the matrix assemblage is accomplished by allocating the partitioned finite element subdomain for each processor. The graph partitioning library, METIS, is employed for the subdomain generation. The large sparse matrix computation is conducted by MUMPS, which is the parallel computing library based on the multi-frontal method. The accuracy of the present program is validated by the comparison against the Mie-series analytical solution and the results by ANSYS HFSS. In addition, the scalability is verified by measuring the speed-up in terms of the number of processors used. The present electromagnetic scattering analysis is performed for a perfect electric conductor sphere, isotropic/anisotropic dielectric sphere, and the missile configuration. The algorithm of the present program will be applied to the finite element and tearing method, aiming for the further extended parallel computing performance.