• Title/Summary/Keyword: Field Equation

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TD-CFIE Formulation for Transient Electromagnetic Scattering from 3-D Dielectric Objects

  • Lee, Young-Hwan;Jung, Baek-Ho;Sarkar, Tapan K.;Yuan, Mengtao;Ji, Zhong;Park, Seong-Ook
    • ETRI Journal
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    • v.29 no.1
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    • pp.8-17
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    • 2007
  • In this paper, we present a time domain combined field integral equation formulation (TD-CFIE) to analyze the transient electromagnetic response from dielectric objects. The solution method is based on the method of moments which involves separate spatial and temporal testing procedures. A set of the RWG functions is used for spatial expansion of the equivalent electric and magnetic current densities, and a combination of RWG and its orthogonal component is used for spatial testing. The time domain unknowns are approximated by a set of orthonormal basis functions derived from the Laguerre polynomials. These basis functions are also used for temporal testing. Use of this temporal expansion function characterizing the time variable makes it possible to handle the time derivative terms in the integral equation and decouples the space-time continuum in an analytic fashion. Numerical results computed by the proposed formulation are compared with the solutions of the frequency domain combined field integral equation.

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Numerical Analysis for Two-Dimensional Compressible and Two-Phase Flow Fields of Air-Water in Eulerian Grid Framework (2차원 압축공기-물의 압축성 이상 유동 수치 해석)

  • Park, Chan-Wook;Lee, Sung-Su
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.32 no.6
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    • pp.429-445
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    • 2008
  • Two-phase compressible flow fields of air-water are investigated numerically in the fixed Eulerian grid framework. The phase interface is captured via volume fractions of each phase. A way to model two phase compressible flows as a single phase one is found based on an equivalent equation of states of Tait's type for a multiphase cell. The equivalent single phase field is discretized using the Roe‘s approximate Riemann solver. Two approaches are tried to suppress the pressure oscillation phenomena at the phase interface, a passive advection of volume fraction and a direct pressure relaxation with the compressible form of volume fraction equation. The direct pressure equalizing method suppresses pressure oscillation successfully and generates sharp discontinuities, transmitting and reflecting acoustic waves naturally at the phase interface. In discretizing the compressible form of volume fraction equation, phase interfaces are geometrically reconstructed to minimize the numerical diffusion of volume fraction and relevant variables. The motion of a projectile in a water-filled tube which is fired by the release of highly pressurized air is simulated presuming the flow field as a two dimensional one, and several design factors affecting the projectile movement are investigated.

Analysis of electron swarm parameter in CH$_4$ gas (CH$_4$가스중에서의 전자군 파라미터의 해석)

  • 문기석;서상현;송병두;하성철;유회영;김상남
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1997.11a
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    • pp.167-172
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    • 1997
  • The electron swarm parameters and Energy distribution function have been calculated for electrons motion through CH$_4$ pure gas under the action of uniform electric field for 0.1$\leq$E/N(Td)$\leq$300, at the 300( $^{\circ}$K), using MCS method and Boltzmann transport equation. And then the resulting values of electron drift velocity were compared to experimental data and adjustment made in assumed cross sections until good agreement was obtained. The electron drift velocity is very useful in the fields of study relating to the conductive and dielectric phenomena of gas medium. The electron energy distribution in gas discharge are generally nonmaxwellian , and must be calculated by a numerical solution of the Boltzmann equation which takes in the elastic and inelastic collisions. To analyze the physical phenomena and properties (or electron swarm motion in a gas under the influence of an electric field, the energy distribution function of electrons and the theoretical deriveration of the electron drift velocity are calculated by the Backward Prolongation with respect to the Boltzmann transport equation as a parameter of E/N(Td).

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Effects of Surface Radiation on the Unsteady Natural Convection in a Rectangular Enclosure

  • Baek, Seung-Wook;Kim, Taig-Young
    • International Journal of Aeronautical and Space Sciences
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    • v.3 no.1
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    • pp.95-104
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    • 2002
  • Numerical solution of the full Navier-Stokes equation as well as the energy equation has been obtained for the unsteady natural convection in a rectangular enclosure. One side wall was maintained at very high temperature simulating fires. Especially the effect of surface radiation was taken into account. While the enclosed air was assumed to be transparent, the internal walls directly interacted one another through the surface radiation. Due to a significant temperature difference in the flow field, the equation of state was used instead of the Boussinesq approximation. It was found that the rapid heating of the adiabatic ceiling and floor by the incoming radiation from the hot wall made the evolution at thermo-fluid field highly unstable in the initial period. Therefore, the secondary cells brought about at the floor region greatly affected the heat transfer mechanism inside the enclosure. The heat transfer rate was augmented by the radiation, resulting in requiring less time for the flow to reach the steady state. At the steady state neglecting radiation two internal hydraulic jumps were clearly observed in upper/left as well as in lower/right comer. However, the hydraulic jump in the lower/right comer could not be observed for the case including radiation due to its high momentum flow over the bottom wall. Radiation resulted in a faster establishment of the steady state phenomena.

Investigation on Electric Field Optimization Algorithm of Spacer in Gas Insulated System (가스절연 원통형 관로 내의 스페이서 전계 최적화 알고리즘에 관한 연구)

  • Kim, Ung-Sik;Min, Seok-Won
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.51 no.3
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    • pp.115-120
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    • 2002
  • This Paper describes an algorithm for the design of axi-symmetrical spacer under specified field conditions. The electric field alas been calculated by combination method of Integral Equation Method(IEM) and Charge Simulation Method(CSM). The contour of spacer is represented with NURB(Non-Uniform Rational B-spline) curve of which effectiveness has been proved. This algorithm introduces a design process in the aspect of electrical field, when a spacer in airtight cylinder is designed. Also various field conditions for obtaining optical shapes have been proposed. Due to the algorithm, the entire process shows a stable convergence. Both tangential and total electrical field are taken into consideration as specified field criteria.

Azimuthal anchoring measurement of nematic liquid crystals using the strong magnetic field

  • Jang, Tae-Sug;Im, Ji-Young;Goh, Wan-Hee;Kim, Jong-Hyun
    • 한국정보디스플레이학회:학술대회논문집
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    • 2009.10a
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    • pp.664-667
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    • 2009
  • We would like to show a measuring technique of azimuthal anchoring energy of the nematic liquid crystals. The electro-optical setup of liquid crystal cell, crossed polarizers and magnetic field was assumed. The planar or hybrid alignment cells were prepared. The director in the light entering substrate and the polarization of light was adjusted into parallel to the magnetic field. The director orientation of exit substrate and analyser maintained perpendicular to the magnetic field. As the magnetic field strength is increased, the director deviates from the easy axis and rotates to the field direction. We obtained an equation calculating the change of transmission with the field and measured experimentally the transmission. By comparing the calculating and experimental data, we obtained the azimuthal anchoring strength.

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Development of Curve Fitted Equation for the Dynamic Response of a Buried Concrete Pipelines with Various End Boundary Conditions (여러 단부경계조건을 가진 콘크리트 매설관의 동적응답에 대한 곡선적합식의 개발)

  • Jeong, Jin-Ho;Kim, Sung-Ban;Joeng, Du-Hwoe
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.572-581
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    • 2006
  • This study is to investigate dynamic response of concrete buried pipelines with various end boundary conditions and develop a curve fitted equation to ensure practicality and convenience for the use at the actual field for the test of resistance of earthquake. Dynamic response under the various end boundary conditions is calculated with analysis on values and computing programs. However, such a method of analysis requires skillfulness in using computing programs for dynamic movement of buried pipelines with dynamic analysis formula and has lower efficiency and practicality because, in the nature of analysis program of values, it needs much time to conduct repeated calculations. Therefore, the study is intended to develop a curve fitted equation to ensure more efficient and practical analysis. This paper tests various degrees of equation with non-linear least square method and developments a curve fitted equation based on the transmission speed with the best results. In the use of curve fitted equation, degree of polynomial and determining coefficient are influenced by the speed of transmission.

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DEVELOPMENT OF INTERFACIAL AREA TRANSPORT EQUATION

  • ISHII MAMORU;KIM SEUNGJIN;KELLY JOSEPH
    • Nuclear Engineering and Technology
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    • v.37 no.6
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    • pp.525-536
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    • 2005
  • The interfacial area transport equation dynamically models the changes in interfacial structures along the flow field by mechanistically modeling the creation and destruction of dispersed phase. Hence, when employed in the numerical thermal-hydraulic system analysis codes, it eliminates artificial bifurcations stemming from the use of the static flow regime transition criteria. Accounting for the substantial differences in the transport mechanism for various sizes of bubbles, the transport equation is formulated for two characteristic groups of bubbles. The group 1 equation describes the transport of small-dispersed bubbles, whereas the group 2 equation describes the transport of large cap, slug or chum-turbulent bubbles. To evaluate the feasibility and reliability of interfacial area transport equation available at present, it is benchmarked by an extensive database established in various two-phase flow configurations spanning from bubbly to chum-turbulent flow regimes. The geometrical effect in interfacial area transport is examined by the data acquired in vertical fir-water two-phase flow through round pipes of various sizes and a confined flow duct, and by those acquired In vertical co-current downward air-water two-phase flow through round pipes of two different sizes.

Earth pressure on a vertical shaft considering the arching effect in c-𝜙 soil

  • Lee, In-Mo;Kim, Do-Hoon;Kim, Kyoung-Yul;Lee, Seok-Won
    • Geomechanics and Engineering
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    • v.11 no.6
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    • pp.879-896
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    • 2016
  • A new earth pressure equation considering the arching effect in $c-{\phi}$ soils was proposed for the accurate calculation of earth pressure on circular vertical shafts. The arching effect and the subsequent load recovery phenomenon occurring due to multi-step excavation were quantitatively investigated through laboratory tests. The new earth pressure equation was verified by comparing the test results with the earth pressures predicted by new equation in various soil conditions. Resulting from testing by using multi-step excavation, the arching effect and load recovery were clearly observed. The test results in $c-{\phi}$ soil showed that even a small amount of cohesion can cause the earth pressure to decrease significantly. Therefore, predicting earth pressure without considering such cohesion can lead to overestimation of earth pressure. The test results in various ground conditions demonstrated that the newly proposed equation, which enables consideration of cohesion as appropriate, is the most reliable equation for predicting earth pressure in both ${\phi}$ soil and $c-{\phi}$ soil. The comparison of the theoretical equations with the field data measured on a real construction site also highlighted the best-fitness of the theoretical equation in predicting earth pressure.

Numerical calculations of characteristics of Argon arc plasma using the control volume method (제어체적법에 의한 Ar 아크 플라즈마의 특성 계산)

  • Kim, Oe-Dong;Ko, Kwang-Cheol;Kang, Hyung-Boo
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1404-1406
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    • 1995
  • In this paper, argon gas was used for numerical analysis of an arc in a cutting plasma torch driven by constant current. We established nozzle-constricting type torch domain and calculated steady state characteristics of argon arc plasma using the control volume method(CVM). For simplicity, we assumed that the flow field is laminar and the local thermodynamic equilibrium(LTE) prevails in all domain regions. We also neglected cathode-fall and anode-fall effects. Considering magnetic pinch effect and viscosity effect, we solved the momentum equation. Voltage drop in the arc column due to input current was calculated from the temperature field obtained by the energy balance equation.

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