• Title/Summary/Keyword: N-S 방정식

Search Result 180, Processing Time 0.029 seconds

Numerical Computation of Laminar Flow over a Backward Facing Step (Beckward Facing Step의 층류 유동 수치계산)

  • Van, Suck-Ho
    • Journal of Ocean Engineering and Technology
    • /
    • v.7 no.2
    • /
    • pp.150-161
    • /
    • 1993
  • 원초변수를 이용한 Navier-Stokes 방정식의 수치계산기법을 개발하고, 이를 응용하여 backward facing step의 층류 유동을 계산하였다. 직교좌표계에서의 비압축성 Navier-Stokes방정식을 풀기위해 시간과 공간항을 2차 정도의 유한 차분을 사용하여 이산화하였고 비교차격자계를 사용하여 양해법으로 수치 계산하였다. 운동량방정식과 연속방정식으로 부터 유도된 압력방정식(pressure-poisson equation)을 이용하여 무발산 조건을 만족시켰ㄲ다. Backward facing step의 층류 유동을 100.$\leq$R$_e$$\leq$1000 범위에 대해서 수치 계산하였으며 실험결과와 잘 일치하는 결과를 구할 수 있었다. 특히 step뒤에서 생기는 박리구간의 길이는 다른 계산결과들보다 실험치에 가까운 값을 얻을 수 있었으며, Re가 600보다 클때는 위쪽 벽에 또 다른 박리 유동이 발생되는 현상이 예측되었다.

  • PDF

High Temperature Dependent SPICE Modeling for Carrier Velocity in MOSFETs Using Measured S-Parameters (S-파라미터 측정을 통한 MOSFET 캐리어 속도의 고온 종속 SPICE 모델링)

  • Jung, Dae-Hyoun;Ko, Bong-Hyuk;Lee, Seong-Hearn
    • Journal of the Institute of Electronics Engineers of Korea SD
    • /
    • v.46 no.12
    • /
    • pp.24-29
    • /
    • 2009
  • In order to model the high temperature dependence of the cutoff frequency $f_T$ in $0.18{\mu}m$ deep n-well isolated bulk NMOSFET, high temperature data of electron velocity of bulk MOSFETs from $30^{\circ}C$ to $250^{\circ}C$ are obtained by an accurate RF extraction method using measured S-parameters. From these data, an improved temperature-dependent electron velocity equation is developed and implemented in a BSIM3v3 SPICE model to eliminate modeling error of a conventional one in the high temperature range. Better agreement with measured $f_T$ data from $30^{\circ}C$ to $250^{\circ}C$ are achieved by using the SPICE model with the improved equation rather than the conventional one, verifying its accuracy of the improved one.

A Harmonic Analysis Technique of Nonlinear Circuit Using Duffing's Equation (Duffing방정식을 이용한 비선형회로의 고조파해석 기법)

  • 신중린;황현준;조기선
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
    • /
    • v.12 no.4
    • /
    • pp.62-69
    • /
    • 1998
  • The harmonics caused b th nonlinear operation of transmission equipments are not identified yet and have been seldom studied. Sources of harmonics in nonlinear circuit, especially caused by the nonlinear operation of transmission equipments, can be approximately modeled with Duffing's Equation which is often referred in nonlinear mechanical oscillation problem. In this study, a new analytic technique is proposed for the analysis of harmonics n nonlinear circuits using Duffing's Equation and compared with some conventional methods. Finally some case studies were performed to evaluate the performance of proposed method and conventional methods.

  • PDF

The Slip-Wall Boundary Conditions Effects and the Entropy Characteristics of the Multi-Species GH Solver (다화학종 GH 방정식의 정확성 향상을 위한 벽면 경계조건 연구 및 GH 방정식의 엔트로피 특성 고찰)

  • Ahn, Jae-Wan;Kim, Chong-Am
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.37 no.10
    • /
    • pp.947-954
    • /
    • 2009
  • Starting from the Eu's GH(Generalized Hydrodynamic) theory, the multi-species GH numerical solver is developed in this research and its computatyional behaviors are examined for the hypersonic rarefied flow over an axisymmetric body. To improve the accuracy of the developed multi-species GH solver, various slip-wall boundary conditions are tested and the computed results are compared. Additionally, in order to validate the entropy characteristics of the GH equation, the entropy production and entropy generation rates of the GH equation are investigated in the 1-dimensional normal shock structure test at a high Knudsen number.

A Development of the Small Signal Analyzer for the Stationary Drift-Diffusion Equation (정상상태에서 드리프트-확산 방정식의 소신호 해석 프로그램 개발)

  • Lim, Woong-Jin;Lee, Eun-Gu;Kim, Tae-Han;Kim, Cheol-Seong
    • Journal of the Korean Institute of Telematics and Electronics D
    • /
    • v.36D no.11
    • /
    • pp.45-55
    • /
    • 1999
  • The small signal analyzer for the stationary drift-diffusion equation is developed. The slotboom variables of the potential, electron and hole concentrations for the response of applied small signal are defined and the stationary drift-diffusion equation is linearlized on DC operation point by $S^3A$ method. Frontal solver, which is used to solve the global matrix, progresses the accuracy of the solution in high frequency and minimizes the requirement of the memory. The simulations are executed on the structure of 3 dimensional N'P junction diode and 2 dimensional n-MOSFET to verify the proposed algorithm. The average relative errors of the conductance and the capacitance compared with MEDICI are about 26% and 0.67 for N'P junction diode and 7.75% and 2.24% for n-MOSFET. The simulation by the proposed algorithm can analyze the stationary drift-diffusion equation for applied small signal in high frequency region about 100GHz.

  • PDF

A Study on the Slop Compensation of Speech Spectrum by QMF(Quadrature Mirror Filter) (QMF Filter에 의한 음성스펙트럼 평탄화에 관한 연구)

  • Jun, Woo-Jin
    • Proceedings of the KAIS Fall Conference
    • /
    • 2010.05a
    • /
    • pp.273-276
    • /
    • 2010
  • 음성신호를 관찰하였을 때 성문특성으로 인해서 고주파쪽 특성이 약화되는 경향이 있다. 약화된 고주파 특성을 보상하기 위하여 프리 엠퍼시스 필터를 통해 보상하고 있다. 프리 엠퍼시스 필터를 간단한 수식으로 표현하면 y(n)=s(n)-As(n-1)와 같이 차분 방정식으로 나타낼 수 있다. 여기서 A값은 보통 0.9에서 1사이의 값을 사용한다. 본 논문에서는 QMF 필터를 이용하여 입력신호를 고주파와 저주파의 2개의 대역으로 분할하여 각 밴드에 프리 엠퍼시스 필터를 적용하여 약화되어진 특성을 정확히 보상하는 방법을 제안한다.

  • PDF

PVT Relations of Associating Fluids using the Cubic-Plus-Association EoS (CPA 상태방정식에 의한 회합성 유체의 PVT 관계)

  • Kim, Mi-Kyoung;Shim, Min-Young;Kim, Ki-Chang
    • Journal of Industrial Technology
    • /
    • v.20 no.A
    • /
    • pp.195-202
    • /
    • 2000
  • For modeling an equation of state suitable for describing associating fluids, we combined the cubic equation of state (Peng-Robinson) and an association term of SAFT. The resulting EoS (Cubic-Plus-Association) is not cubic with respect to volume and contains five pure compound parameters. Excellent correlations of both vapour pressures and saturated liquid volumes were obtained for n-alcohols and secondary alcohols. We considered a method for reducing the number of adjustable pure compound parameters from five to three, and the resulting 3-parameters EoS relation maintained the good correlation of vapour pressures and saturated liquid volumes.

  • PDF

EVELOPMENT OF AXISYMMETRIC MULTI-SPECIES GH EQUATION FOR HYPERSONIC RAREFIED FLOW ANALYSES (극초음속 희박유동 해석을 위한 축대칭 다화학종 GH 방정식의 개발)

  • Ahn, J.W.;Kim, C.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.03a
    • /
    • pp.84-91
    • /
    • 2008
  • Generalized hydrodynamic (GH) theory for multi-species gas and the computational models are developed for the numerical simulation of hypersonic rarefied gas flow on the basis of Eu's GH theory. The rotational non-equilibrium effect of diatomic molecules is taken into account by introducing excess normal stress associated with the bulk viscosity. The numerical model for the diatomic GH theory is developed and tested. Moreover, with the experience of developing the dia-tomic GH computational model, the GH theory is extended to a multi-species gas including 5 species; O$_2$, N$_2$, NO, O, N. The multi-species GH model includes diffusion relation due to the molecular collision and thermal phenomena. Two kinds of GH models are developed for an axisymmetric flow solver. By compar-ing the computed results of diatomic and multi-species GH theories with those of the Navier-Stokes equations and the DSMC results, the accuracy and physical consistency of the GH computational models are examined.

  • PDF

EVELOPMENT OF AXISYMMETRIC MULTI-SPECIES GH EQUATION FOR HYPERSONIC RAREFIED FLOW ANALYSES (극초음속 희박유동 해석을 위한 축대칭 다화학종 GH 방정식의 개발)

  • Ahn, J.W.;Kim, C.
    • 한국전산유체공학회:학술대회논문집
    • /
    • 2008.10a
    • /
    • pp.84-91
    • /
    • 2008
  • Generalized hydrodynamic (GH) theory for multi-species gas and the computational models are developed for the numerical simulation of hypersonic rarefied gas flow on the basis of Eu's GH theory. The rotational non-equilibrium effect of diatomic molecules is taken into account by introducing excess normal stress associated with the bulk viscosity. The numerical model for the diatomic GH theory is developed and tested. Moreover, with the experience of developing the dia-tomic GH computational model, the GH theory is extended to a multi-species gas including 5 species; $O_2,\;N_2$, NO, O, N. The multi-species GH model includes diffusion relation due to the molecular collision and thermal phenomena. Two kinds of GH models are developed for an axisymmetric flow solver. By compar-ing the computed results of diatomic and multi-species GH theories with those of the Navier-Stokes equations and the DSMC results, the accuracy and physical consistency of the GH computational models are examined.

  • PDF