• 제목/요약/키워드: stiff equation

검색결과 37건 처리시간 0.022초

$N_{2}/O_{2}$ 혼합가스에서 펄스코로나 방전을 이용한 NOx 제거 모델링에 관한 연구 (DeNOx modeling in $N_{2}/O_{2}$ gas by pulsed corona discharge)

  • 박광서;이형상;전배혁;신현호;윤웅섭;전광민
    • 한국연소학회:학술대회논문집
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    • 한국연소학회 1999년도 제19회 KOSCO SYMPOSIUM 논문집
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    • pp.117-128
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    • 1999
  • The removal of nitrogen oxides(NOx) from $N_{2}/O_{2}$ gas using a pulsed corona discharge was investigated as a function of the reduced electric field(E/N) and the energy density(J/L). A kinetic model was developed to characterize the chemical reactions taking place in a pulsed corona discharge reactor. The model calculates the fractional concentrations of radical species at each pulse-on period and utilizes the radicals to remove NOx for the subsequent pulse-off period. Electron collision reaction data are calculated using ELENDIF program to solve Boltzmann equation for electron energy distribution function, and the subsequent chemical reactions are calculated using CHEMKIN-II program to solve stiff ODE(ordinary differential equation) problems for species concentrations. The corona discharge energy per pulse and the time-space averaged E/N were obtained by fitting the model to experimental data. The model calculation shows good agreement with the experimental data, and predicts the formation of other species such as $NO_{2}$, $O_{3}$ and $N_{2}O$.

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펄스코로나 방전에서 프로핀($C_3H_6$)이 NO-$NO_2$ 변환에 미치는 영향에 관한 연구 (Effect of Propene($C_3H_6$) ON NO-$NO_2$ Conversion Process in a Pulsed Corona Discharge)

  • 박광서;전배혁;전광민
    • 한국자동차공학회논문집
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    • 제8권5호
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    • pp.67-77
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    • 2000
  • Investigated was the effect of propene(C3H6) on the NO-NO2 conversion in dry exhaust gases from lean burn engine using a pulsed corona discharge. A kinetic model was developed to characterize the plasma chemistry in simulated exhausts containing propene. The model uses ELENDIF program to solve Boltzmann equation for electron energy distribution function, and CHEMKIN-II program to solve stiff ODE(ordinary differential equation) problems for species concentrations. The corona discharge energy per pulse and the time-space averaged E/N were obtained by fitting the model to experimental data. The model calculation shows good agreement for NO and NO2 concentrations with the experimental data, and predicts the formation of byproducts such as CH2O, CH3HCO, CO AND CH3NO2 Propene enhances the NOx conversion enormously at lower energy density and the NOx conversion increases with the increase of initial propene and oxygen concentration, and temperature.

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해양에서의 핵종이동 모델링 - 해양구획 모델 (Modeling Study on Nuclide Transport in Ocean - an Ocean Compartment Model)

  • Lee, Youn-Myoung;Suh, Kyung-Suk;Han, Kyong-Won
    • Nuclear Engineering and Technology
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    • 제23권4호
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    • pp.387-400
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    • 1991
  • 해수유동에 의한 이류와 부유물과의 상호작용에 의한 해양에서의 핵종이동을 모사하여 시간에 따른 핵종농도의 파과곡선을 구할 수 있는 해양구획모델이 개발되었다. 해양을 임의 수의 구획으로 나누어 각 구획간의 질량수지를 통해 지배 방정식을 세우고 이에 대한 해를 stiff한 문제에 유용한 수치적분방법을 이용하여 구하였다. 2차원 해수유동모델을 이용하여 해수교체시간을 계산한 후 각 구획간의 해수유동에 의한 이류수송을 나타내는 이동계수를 구하였다. 개발된 해양구획모델에 대한 계산 예로써 해저에 위치한 가상 처분장으로 부터 방출된 저준위방사성 폐기물의 주요 핵종중 Tc-99 Cs-137 및 Pu-238에 대한 파과곡선을 5개 구획에 대해 구하였다. 또한 핵종농도 파가 곡선에 대한 파라미터의 민감도 분석을 수행한 결과 구획내의 해수체적 및 해수교체시간과 같은 주요 변수들이 파과곡선에 중요한 영향을 줌을 알 수 있었다.

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A NOTE ON SCATTERING OPERATOR SYMBOLS FOR ELLIPTIC WAVE PROPAGATION

  • Kim, Jeong-Hoon
    • 대한수학회논문집
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    • 제17권2호
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    • pp.349-361
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    • 2002
  • The ill-posed elliptic wave propagation problems can be transformed into well-posed initial value problems of the reflection and transmission operators characterizing the material structure of the given model by the combination of wave field splitting and invariant imbedding methods. In general, the derived scattering operator equations are of first-order in range, nonlinear, nonlocal, and stiff and oscillatory with a subtle fixed and movable singularity structure. The phase space and path integral analysis reveals that construction and reconstruction algorithms depend crucially on a detailed symbol analysis of the scattering operators. Some information about the singularity structure of the scattering operator symbols is presented and analyzed in the transversely homogeneous limit.

강체요소법에 의한 구형쉘의 탄소성해석에 관한 연구( I ) - 구형쉘의 탄소성 해석에 관한 이론적 고찰 - (A STUDY ON ELASTO-PLASTIC ANALYSIS OF SPHERICAL SHELL BY RIGID ELEMENT METHOD(I) - Theoretical Consideration on Elasto-Plastic Analysis of Spherical Shell -)

  • 권택진;한상율;서삼열;박강근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1988년도 가을 학술발표회 논문집
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    • pp.18-23
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    • 1988
  • This study on the elasto-plastic analysis of spherical shell by rigia element method is classified into two parts : (1) theoretical consideration on elasto-plastic analysis of spherical shell, (2) elastic and elasto-plastic analysis of spherical shell with the open stiff ring. In 1982, Y. Tsuboi proposed the new analytical method which is called the rigid element method, for analyzing the elasto-plastic behavior of wall-type precast concrete structures by applying the concepts of rigid bodies-sprins model (i.e., when structures reach their ultimate state of leading, they may be yield, collapsed ana crushed into pieces, and each part or piece of structures mar move like a rigid body.). In this paper, for improvement and expansion this rigid element method, it is proposed the adaptation equation of rectangular-shaped spherical element and rectangular-shaped spherical bending element developed by present authors, and the analytical procedure for the elastic and the elasto-plastic increment method of structures.

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ㄱ형 perfobond 리브 전단열결재의 정적 강도평가식 (Static Strength Evaluation Equations of ㄱType Perfobond Rib Shear Connectors)

  • 이흥수;정철헌;손유식
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2005년도 봄학술 발표회 논문집(I)
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    • pp.451-454
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    • 2005
  • The ㄱ type perfobond rib shear connector is a ㄱ type flat steel plate with a number of holes punched through. This connector can be effectively used in girder with high shear. The ㄱ type perfobond rib shear connector exhibit very stiff behaviour under service load conditions and also had the characteristic of retaining a significant amount of load after the attainment of ultimate capacity. A regression analysis, which is based on a model that takes into account the contributions of concrete dowels formed by the rib holes, the transverse reinforcement, the strength of concrete in front of the rib, and the ㄱ type plate as well as a nonlinear finite element analysis, is used in the derivation. An empirical equation for the design of ㄱ type perfobond rib shear connector is proposed.

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Soil structure interaction effects on strength reduction factors

  • Eser, Muberra;Aydemir, Cem;Ekiz, Lbrahim
    • Structural Engineering and Mechanics
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    • 제41권3호
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    • pp.365-378
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    • 2012
  • In this study, strength reduction factors are investigated for SDOF systems with period range of 0.1-3.0 s with elastoplastic behavior considering soil structure interaction for 64 different earthquake motions recorded on different site conditions such as rock, stiff soil, soft soil and very soft soil. Soil structure interacting systems are modeled and analyzed with effective period, effective damping and effective ductility values differing from fixed-base case. For inelastic time history analyses, Newmark method for step by step time integration was adapted in an in-house computer program. Results are compared with those calculated for fixed-base case. A new equation is proposed for strength reduction factor of interacting system as a function of structural period of system (T), ductility ratio (${\mu}$) and period lengthening ratio (T/T). It is concluded that soil structure interaction reduces the strength reduction factors for soft soils, therefore, using the fixed-base strength reduction factors for interacting systems lead to non-conservative design forces.

AN IMPROVED IMPLICIT EULER METHOD FOR SOLVING INITIAL VALUE PROBLEMS

  • YUN, BEONG IN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권3호
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    • pp.138-155
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    • 2022
  • To solve the initial value problem we present a new single-step implicit method based on the Euler method. We prove that the proposed method has convergence order 2. In practice, numerical results of the proposed method for some selected examples show an error tendency similar to the second-order Taylor method. It can also be found that this method is useful for stiff initial value problems, even when a small number of nodes are used. In addition, we extend the proposed method by using weighted averages with a parameter and show that its convergence order becomes 2 for the parameter near $\frac{1}{2}$. Moreover, it can be seen that the extended method with properly selected values of the parameter improves the approximation error more significantly.

CH4비예혼합화염의 수치계산에 적용하기 위한 확장된 축소반응기구의 비정상 응답특성 검토 (An Investigation of Unsteady Response of Augmented Reduced Mechanism for Numerical Simulation of CH4 Nonpremixed Flames)

  • 오창보;박정;이창언
    • 대한기계학회논문집B
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    • 제27권2호
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    • pp.243-250
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    • 2003
  • The extinction behavior and the unsteady response of augmented reduced mechanism(ARM) have been investigated by adopting an OPPDIF code and a numerical solver for the flamelet equations. By comparing the performance of the ARM based on Miller and Bowman's mechanism(MB-ARM) with that of the ARM based on GRI-Mech 3.0(GRI-3.0-ARM), it is identified that the MB-ARM is more suitable for the unsteady calculation because it is relatively less stiff than GRI-3.0-ARM during an ignition process. The steady results using the MB-ARM, which is modified to predict reasonably the extinction point of experiment, are in excellent agreement with those from full mechanism. Under the sinusoidal transient disturbances of scalar dissipation rate, the unsteady responses of the flame temperature and species concentrations using a modified MB-ARM show in very close agreement with those from full mechanism. It is presumed that above modified MB-ARM is very suitable for the unsteady simulation of turbulent flames because it gives not only a low computational cost but also a good prediction performance for flame structure, extinction point and unsteady response.

초저이온농도에서 이온교환수지에 의한 실리카제거 평형특성 (Equilibrium Property of Ion Exchange Resin for Silica Removal at Ultralow Concentration)

  • 윤태경;이강춘;노병일
    • 한국환경과학회지
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    • 제16권8호
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    • pp.907-912
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    • 2007
  • Ion exchange resin was used to remove silica ion at ultralow concentration. The effects of temperature, type of ion exchange resin and single/mixed-resin systems on removal efficiency were estimated. As temperature increased, the slope of concentration profile became stiff, and the equilibrium concentration was higher. In the single resin system, the removal of silica was continued up to 400 min, but the silica concentration was recovered to initial concentration after 400 min due to the effect of dissolved $CO_2$. In the mixed-resin system it took about 600 min to reach equilibrium. Because of faster cation exchange reaction than anion exchange reaction, the effect of $CO_2$ could be removed. Based on the experimental results carried out in the mixed-resin system, the selectivity coefficients of silica ion for each ion exchange resin were calculated at some specific temperatures. The temperature dependency of the selectivity coefficient was expressed by the equation of Kraus-Raridon type.