• 제목/요약/키워드: parabolic approximation equation

검색결과 45건 처리시간 0.025초

An Analytical Modeling and Simulation of Dual Material Double Gate Tunnel Field Effect Transistor for Low Power Applications

  • Arun Samuel, T.S.;Balamurugan, N.B.
    • Journal of Electrical Engineering and Technology
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    • 제9권1호
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    • pp.247-253
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    • 2014
  • In this paper, a new two dimensional (2D) analytical modeling and simulation for a Dual Material Double Gate tunnel field effect transistor (DMDG TFET) is proposed. The Parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions and analytical expressions for surface potential and electric field are derived. This electric field distribution is further used to calculate the tunnelling generation rate and thus we numerically extract the tunnelling current. The results show a significant improvement in on-current characteristics while short channel effects are greatly reduced. Effectiveness of the proposed model has been confirmed by comparing the analytical results with the TCAD simulation results.

이차원 층류제트를 위한 비 상사해 (Non-Similarity Solution for Two-Dimensional Laminar Jet)

  • 이상환
    • 대한기계학회논문집
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    • 제18권1호
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    • pp.150-155
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    • 1994
  • An Approximate solution for plane two-dimensional incompressible laminar jet issuing from a finite opening with arbitrary initial profile into the same ambient fluid is proposed. For an arbitrary initial velocity profile, the problem is generated from the well known similarity solution for the jet of infinitesimal opening and provides good approximations in the region where the similarity solution cannot be used as an approximation. The asymptotic behavior of this solution is investigated and it is shown that, as goes downstream, the present solution approachs the similarity solution.

Galerkin방법을 이용한 고차 포물선 방정식 수중음 전달 해석 (Higher Order Parabolic Equation Modeling Using Galerkin's Method)

  • 이철원;성우제;정문섭
    • 한국음향학회지
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    • 제18권4호
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    • pp.71-77
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    • 1999
  • 본 논문에서는 거리종속 해양에서 음전달 풀이법으로 각광받고 있는 포물선 방정식법에 대한 고차 해의 전산코드를 작성하고 이들에 대한 수치 시험을 수행하였으며 포물선 방정식법의 정확성을 수치문제 적용 측면에서 고찰하였다. 깊이 방향 연산자의 선형 근사방법으로는 (equation omitted) 근사법의 곱형태를 이용하였으며 Galerkin방법을 이용하여 수치계산을 수행하였고 계산량의 감소를 위하여 부분적으로 collocation을 이용하였다. 거리방향 연산자는 음해법인 Crank-Nicolson법, 초기해로는 자체 초기해를 이용하였다. 수치시험은 세 가지 해양 환경에 대하여 시행하였고 이들의 결과는 해석해, 파수적분법을 이용한 OASES결과와 기존의 포물선 방정식법을 이용한 전산조직인 RAM 등과 비교하였다.

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광각 포물형 완경사 방정식에 관한 연구 (A Study of Wide-Angle Parabolic Mild Slope Equation)

  • 박정철;김재중;김기철;이정만
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 1998년도 추계학술대회논문집:21세기에 대비한 지능형 통합항만관리
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    • pp.201-209
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    • 1998
  • The propagation of water waves over irregular bottom bathymetry and around islands involves many process. In this study of numerical model is developed current in water of varying depth. The method used is splitting method and minimax approximation. This numerical method used is Crank-Nicolson scheme. This model is applied to Vincent shoal and compared with laboratory data. The results agreed well with laboratory data. The results agreed well with laboratory data. Current effect is considered in this study. So, the model is used for the estimation of rip current in the slowly varying topography.

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An Analytical Modeling of Threshold Voltage and Subthreshold Swing on Dual Material Surrounding Gate Nanoscale MOSFETs for High Speed Wireless Communication

  • Balamurugan, N.B.;Sankaranarayanan, K.;Amutha, P.;John, M. Fathima
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제8권3호
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    • pp.221-226
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    • 2008
  • A new two dimensional (2-D) analytical model for the Threshold Voltage on dual material surrounding gate (DMSG) MOSFETs is presented in this paper. The parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions. The simple and accurate analytical expression for the threshold voltage and sub-threshold swing is derived. It is seen that short channel effects (SCEs) in this structure is suppressed because of the perceivable step in the surface potential which screens the drain potential. We demonstrate that the proposed model exhibits significantly reduced SCEs, thus make it a more reliable device configuration for high speed wireless communication than the conventional single material surrounding gate (SMSG) MOSFETs.

NUMERICAL SIMULATION OF REFRACT10N-DIFFRACTION OF WAVES C ONSIDERING BREAKING-INDUCED CURRENTS

  • Yoon, Sung-Bum;Lee, Jong-In;Lee, Chang-hoon;Park, Joon-Young
    • Water Engineering Research
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    • 제3권3호
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    • pp.203-213
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    • 2002
  • A wide-angle parabolic approximation equation model considering the interaction between wave and current is employed to simulate the deformation of irregular waves over a submerged shoal. It is found that the model gives qualitative agreements with experimental data for the cases of breaking waves around the shoal. Thus, the effect of breaking-induced current on the refraction-diffraction of waves is well understood.

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Analytical Surface Potential Model with TCAD Simulation Verification for Evaluation of Surrounding Gate TFET

  • Samuel, T.S. Arun;Balamurugan, N.B.;Niranjana, T.;Samyuktha, B.
    • Journal of Electrical Engineering and Technology
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    • 제9권2호
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    • pp.655-661
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    • 2014
  • In this paper, a new two dimensional (2D) analytical modeling and simulation for a surrounding gate tunnel field effect transistor (TFET) is proposed. The Parabolic approximation technique is used to solve the 2-D Poisson equation with suitable boundary conditions and analytical expressions for surface potential and electric field are derived. This electric field distribution is further used to calculate the tunneling generation rate and thus we numerically extract the tunneling current. The results show a significant improvement in on-current characteristics while short channel effects are greatly reduced. Effectiveness of the proposed model has been confirmed by comparing the analytical results with the TCAD simulation results.

Markov Envelope를 이용한 지진동의 위상차 확률분포와 전파지연시간의 추정 (Inference of the Probability Distribution of Phase Difference and the Path Duration of Ground Motion from Markov Envelope)

  • 최항;윤병익
    • 한국지진공학회논문집
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    • 제26권5호
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    • pp.191-202
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    • 2022
  • Markov envelope as a theoretical solution of the parabolic wave equation with Markov approximation for the von Kármán type random medium is studied and approximated with the convolution of two probability density functions (pdf) of normal and gamma distributions considering the previous studies on the applications of Radiative Transfer Theory (RTT) and the analysis results of earthquake records. Through the approximation with gamma pdf, the constant shape parameter of 2 was determined regardless of the source distance ro. This finding means that the scattering process has the property of an inhomogeneous single-scattering Poisson process, unlike the previous studies, which resulted in a homogeneous multiple-scattering Poisson process. Approximated Markov envelope can be treated as the normalized mean square (MS) envelope for ground acceleration because of the flat source Fourier spectrum. Based on such characteristics, the path duration is estimated from the approximated MS envelope and compared to the empirical formula derived by Boore and Thompson. The results clearly show that the path duration increases proportionately to ro1/2-ro2, and the peak value of the RMS envelope is attenuated by exp (-0.0033ro), excluding the geometrical attenuation. The attenuation slope for ro≤100 km is quite similar to that of effective attenuation for shallow crustal earthquakes, and it may be difficult to distinguish the contribution of intrinsic attenuation from effective attenuation. Slowly varying dispersive delay, also called the medium effect, represented by regular pdf, governs the path duration for the source distance shorter than 100 km. Moreover, the diffraction term, also called the distance effect because of scattering, fully controls the path duration beyond the source distance of 300 km and has a steep gradient compared to the medium effect. Source distance 100-300 km is a transition range of the path duration governing effect from random medium to distance. This means that the scattering may not be the prime cause of peak attenuation and envelope broadening for the source distance of less than 200 km. Furthermore, it is also shown that normal distribution is appropriate for the probability distribution of phase difference, as asserted in the previous studies.

에너지 감쇠영역으로 인한 파랑변형 (Wave Transformation Due to Energy Dissipation Region)

  • 윤종태
    • 한국해안해양공학회지
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    • 제11권3호
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    • pp.135-140
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    • 1999
  • 에너지 감쇠역으로 인한 파의 변형을 모의하기 위하여 타원형 수치모형을 구성하였다. 해석방정식은 에너지 감쇠항이 추가된 타원형 완경사 방정식을 사용하였다. 개방경계조건에는 포물형 가정을 도입하였고 이를 위해 수치기법으로는 GCGM을 사용하였다. 원형감쇠역에 대한 수치실험을 통하여 감쇠역 전부에서의 반사파의 생성, 감쇠효과에 의한 파고감소 등을 확인할 수 있었고 해석해와 잘 일치하였다. 사각형 감쇠역에 대한 실험을 통하여 감쇠계수의 크기에 따른 파고분포의 변화를 살펴보았고 감쇠역 주변에서는 회절효과에 의한 파고의 증가가 매우 완만히 진행됨을 확인하였다. 이러한 수치실험을 통하여 에너지 감쇠구조 또한 반복기법을 사용한 타원형 수치모형으로 잘 모의할 수 있음을 확인하였다.

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자유표면을 포함한 선체주위 난류유동 해석 코드 개발 (Code Development for Computation of Turbulent Flow around a Ship Model with Free-Surface)

  • 김정중;김형태;반석호
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.145-155
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    • 1998
  • A computer code has been developed for the computation of the viscous flow around a ship model with the free surface. In this code, the incompressible Reynolds-averaged Navier-Stokes equations are solved numerically by a finite difference method which employes second-order finite differences for the spatial discretization and a four-stage Runge-Kutta scheme for the temporal integration of the governing equations. For the turbulence closure, a modified version of the Baldwin-Lomax model is exploited. The location of the free surface is determined by solving the equation of the kinematic free-surface condition using the Lax-Wendroff scheme and the boundary-fitted grid is generated at each time step so that one of the grid surfaces always coincides with the free surface. An inviscid approximation of the dynamic free-surface boundary condition is applied as the boundary conditions for the velocity and pressure on the free surface. To validate the computational method and the computer code developed in the present study, the numerical computations are carried out for both Wigley parabolic hull and Series 60 $C_B=0.6$ ship model and the computational results are compared with the experimental data.

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