• 제목/요약/키워드: system of difference equations

검색결과 362건 처리시간 0.024초

터빈 익렬내부의 3차원 압축성 점성유동장의 수치해석 (Numerical Analysis of Three-Dimensional Compressible Viscous Flow Field in Turbine Cascade)

  • 정희택;백제현
    • 대한기계학회논문집
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    • 제16권10호
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    • pp.1915-1927
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    • 1992
  • 본 연구에서는 3차원 압축성 내부유동해석 코드를 개발하여 터어빈 정익이나 동익 내부의 차원 익렬 유동을 수치적으로 해석하고자 한다. 여기에서 사용된 코드 는 Obyashi의 LU-ADI기법을 이용한 기존의 2차원 익렬 유동해석 코드를 3차원 유동장 으로 학장한 것이고, 난류유동해석에는, Baldwin-Lomax의 박층 대수모델을 3차원으로 확장한 알고리즘을 적용하였다.Kiock등이 실험한 선형 터어빈 익렬 내부의 천음속 유동장에 적용하여 양끝 벽면에 의한 3차원 유동장 특성을 분석하고, 3차원 익렬 유동 코드의 적합성을 검토하였다.

선수부 갑판침입수의 수치시뮬레이션에 대한 기초연구 (A Fundamental Study for the Numerical Simulation Method of Green Water Occurrence on Bow Deck)

  • 정광열;이영길;김남철
    • 대한조선학회논문집
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    • 제47권2호
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    • pp.188-195
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    • 2010
  • Green water load is an important parameter to be considered in designing a modern ship or offshore structures like FPSO and FSRU. In this research, a numerical simulation method for green water phenomenon is introduced. The Navier-Stokes equations and the continuity equation are used as governing equations. The equations are calculated using Finite Difference Method(FDM) in rectangular staggered grid system. To increase the numerical accuracy near the body, the Cartesian cut cell method is employed. The nonlinear free-surface during green water incident is defined by Marker-density method. The green waters on a box in regular waves are simulated. The simulation results are compared with other experimental and computational results for verification. To check the applicability to moving ship, the green water of the ship which is towed by uniform force in regular wave, is simulated. The ship is set free to heave and to surge.

전차선과 팬터그래프 사이의 동적 상호작용 시뮬레이션 (Simulation of the Dynamic Interactions between Catenary and Pantograph)

  • 권삼영;김길상
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 하계학술대회 논문집 A
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    • pp.455-459
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    • 1995
  • Catenary/pantograph system consists of overhead lines which have non-uniform elasticity and pantographs which move at high speed and give force to the lines, therefore happen to be failed in contacts between both from time to time. In this study, as the first step to develop a dynamic simulation program, the general theory is discussed for catenary/pantograph system and appropriate modelling. And comparison is conducted with the references after making a program which referred to the contact force equation algorithm. On this algorithm, the unknown contact force is computed by the equations which was induced as combining catenary and pantograph motion equations expressed in finite difference form. Another simulation program based on the assumed contact forces algorithm was developed. In this algorithm, numerical integraion of both the overhead line and pantograph equations, which without combining, are effected for two assumed values of contact force. The correct contact force is then obtained from these two sets of results by linear interpolation to satisfy the contact condition. Through the comparative review on the outputs from this program, it is verified that this algorithm is reliable.

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Electromechanical coupled nonlinear dynamics of euler beam rails for electromagnetic railgun

  • Xu, Lizhong;Wu, Dewen
    • Smart Structures and Systems
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    • 제19권2호
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    • pp.213-224
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    • 2017
  • The electromagnetic field can cause an essential change of the dynamic behavior of the railgun. The evaluation of the dynamics performance of railgun is a mandatory task. Here, a nonlinear electromagnetic force equation of the railgun is given in which the clearance, the thickness and the width of the rail are considered. Based on it, the nonlinear electromechanical coupled dynamics equations of Euler beam rails for the railgun are proposed. Using the equations, the nonlinear free vibration frequency of the railgun is investigated and the effects of the system parameters on the frequency are analyzed. The nonlinear forced responses of the rail to the electromagnetic excitation are investigated as well. The results show that as the nonlinearity of the railgun system is considered, the vibration frequencies of the railgun system increase; as the current in the rail increases, the difference between the natural frequencies and the nonlinear vibration frequencies increases significantly; the nonlinearity of the railgun system is more obvious for smaller distance between the two rails, smaller rail thickness, and smaller stiffness of the elastic foundation; the unstable dynamics state of the rail system occurs when the armature runs to the exit of the railgun. The results are useful for design and application of the railgun system.

선체주위 자유수면파의 수치해석 (A Numerical Analysis of Free Surface Wave around a ship)

  • 홍춘범;이승희
    • 대한조선학회논문집
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    • 제31권3호
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    • pp.80-86
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    • 1994
  • 자유수면을 항주하는 선박에 의하여 발생되는 비선형 조파현상을 해석하기 위한 수치해석법을 개발하였다. 유동은 비점성, 비압축성으로 가정하고 선체 및 자유수면 형상과 일치하는 좌표계의 생성을 위하여 타원형 편미분방정식을 수치해석하여 물체적합 좌표계를 생성하였으며 변환된 정규격자 물체적합 좌표계에 대한 Euler방정식을 유한차분법(Finite Difference Method)을 이용하여 계산하였다. 수치해석을 위하여 시간에 대한 미분항은 전진차분, 공간에 대한 미분항은 중심차분법으로 이산화하였고 대류항에는 수치계산의 안정을 위해 인위적인 소산(dissipation)항을 첨가하였다. 자유수면의 형상은 매 시간 단계마다 자유수면 경계조건들을 만족하도록 다시 계산되었고 격자점들은 자유수면형상의 변화에 적합하게 다시 생성되도록 하였으며 압력에 대한 Poisson방정식은 반복연산법에 의하여 풀고 그 결과를 이용하여 속도를 외삽하였다. 개발된 수치해석법의 검증을 위해 수식선형인 Wigley 모형에 대한 계산을 Fn=0.250-0.408에 대하여 수행하고, 그 결과를 실험 결과와 비교하여 잘 일치함을 보였다.

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A MIXED METHOD OF SUBSPACE ITERATION FOR DIRICHLET EIGENVALUE PROBLEMS

  • Lee, Gyou-Bong;Ha, Sung-Nam;Hong, Bum-Il
    • Journal of applied mathematics & informatics
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    • 제4권1호
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    • pp.243-248
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    • 1997
  • A full multigrid scheme was used in computing some eigenvalues of the Laplace eigenvalues problem with the Dirichlet bound-ary condition. We get a system of algebraic equations with an aid of finite difference method and apply subspace iteration method to the system to compute first some eigenvalues. The result shows that this is very effective in calculating some eigenvalues of this problem.

주간 및 야간 시간대에 따른 $L_{dn}$의 상관관계 - 도로교통소음을 중심으로 - (The Correlation of $L_{dn}$ in accordance with the daytime and the nighttime - Focusing on road traffic noise -)

  • 김득성;장서일;이연수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 추계학술대회논문집
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    • pp.34-40
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    • 2006
  • The daytime(7 a.m to 10 p.m.) and the nighttime(10 p.m. to 7 a.m.) used to calculate existing $L_{dn}$ is different from the domestic daytime(6 a.m to 10 p.m.) and nighttime(10 p.m. to 6 a.m.) periods. The difference of a time periods makes too difficult for converting measured $L_{eq}$ during daytime($L_d$) and nighttime($L_n$) periods to $L_{dn}$. Thus, it is difficult to directly compare with $L_{dn}$ standard of a foreign country. The pupose of paper is to propose a proper experimental equations that make up for the problems. The data of this paper used road traffic noise data of Auto-Network System(ANS) that generates $L_{eq}$ TNI, $L_{NP}$ for 1 hour. A method of this paper is as follows.(1) The data of ANS converted 24 hour $L_{eq}$ which measured every 1 hour to existing $L_{dn}$ and to $L_{dn}$ of an experimental equations.(2) The existing Lan is compared to results of $L_{dn}$ from experimental equations. The paper proposes a three experimental equations. This paper select an approximate equation that was most similar, to existing $L_{dn}$ out of these equations. When $L_{eq}$ data of different daytime and nighttime periods are converted to $L_{dn}$, an experimental equation of this paper can be used and applied to $L_{dn}$'s calculation.

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항공기내 연료 및 오일온도 변화에 대한 수치해석적 연구 (A Numerical Analysis on Transient Temperatures of Fuel and Oil in a Military Aircraft)

  • 김영준;김창녕;김철인
    • 대한기계학회논문집B
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    • 제26권8호
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    • pp.1153-1163
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    • 2002
  • A transient analysis on temperatures of fuel and oil in hydraulic and lubrication systems in an aircraft was studied using the finite difference method. Numerical calculation was performed by an explicit method with modified Dufort-Frankel scheme. Among various missions, air superiority mission was considered as a mission model with 20% hot day ambient condition in subsonic region. The ambience of the aircraft was assumed as turbulent flow. Convective heat transfer coefficient were used in calculating heat transfer between the aircraft surface and the ambience. For an aircraft on the ground, an empirical equation represented as a function of free-stream air velocity was used. And the heat transfer coefficient for flat plate turbulent flow suggested by Eckert was employed for in-flight phases. The governing equations used in this analysis are the mass and energy conservation equations on fuel and oils. Here, analysis of fuel and oil temperature in the engine was not carried out. As a result of this analysis, the ground operation phase has shown the highest temperature and the largest rate of temperature increase among overall mission phases. Also, it is shown that fuel flow rate through fuel/oil heat exchanger plays an important role in temperature change of fuel and oil. This analysis could be an important part of studies to ensure thermal stability of the aircraft and can be applicable to thermal design of the aircraft fuel system.

Entropy Generation Minimization in MHD Boundary Layer Flow over a Slendering Stretching Sheet in the Presence of Frictional and Joule Heating

  • Afridi, Muhammad Idrees;Qasim, Muhammad;Khan, Ilyas
    • Journal of the Korean Physical Society
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    • 제73권9호
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    • pp.1303-1309
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    • 2018
  • In the present paper, we study the entropy analysis of boundary layer flow over a slender stretching sheet under the action of a non uniform magnetic field that is acting perpendicular to the flow direction. The effects of viscous dissipation and Joule heating are included in the energy equation. Using similarity transformation technique the momentum and thermal boundary layer equations to a system of nonlinear differential equations. Numerical solutions are obtained using the shooting and fourth-order Runge-Kutta method. The expressions for the entropy generation number and Bejan number are also obtained using a suggested similarity transformation. The main objective of this article is to investigate the effects of different governing parameters such as the magnetic parameter ($M^2$), Prandtl number (Pr), Eckert number (Ec), velocity index parameter (m), wall thickness parameter (${\alpha}$), temperature difference parameter (${\Omega}$), entropy generation number (Ns) and Bejan number (Be). All these effects are portrayed graphically and discussed in detail. The analysis reveals that entropy generation reduces with decreasing wall thickness parameter and increasing temperature difference between the stretching sheet and the fluid outside the boundary layer. The viscous and magnetic irreversibilities are dominant in the vicinity of the stretching surface.

인산형 연료전지의 가스유로방향 변화에 따른 열 및 물질전달해석 (Heat and Mass Transfer Analysis of Phosphoric Acid Fuel Cell According to Variation of gas Flow passage)

  • 전동협;정영식;채재우
    • 대한기계학회논문집
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    • 제18권5호
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    • pp.1338-1346
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    • 1994
  • The objective of this study is to investigate the effect of various parameters, such as temperature, mean current density and voltage on the performance of phosphoric acid fuel cell (PAFC) by numerical analysis. Two types of flow passages, which are Z-parallel type and Z-counter type, are evaluated to obtain the best current density and temperature distribution. Parametric studies and sensitivity analysis of the PAFC system's operation in single cell are accomplished. A steady state simulation of the entire system is developed using nonlinear ordinary differential equations. The finite difference method and trial and error procedures are used to obtain a solution.