• 제목/요약/키워드: Simplified Equation

검색결과 458건 처리시간 0.025초

An improved solid boundary treatment for wave-float interactions using ISPH method

  • Zheng, Xing;Lv, Xipeng;Ma, Qingwei;Duan, Wenyang;Khayyer, Abbas;Shao, Songdong
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제10권3호
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    • pp.329-347
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    • 2018
  • The Smoothed Particle Hydrodynamics (SPH) method has proved to have great potentials in dealing with the wave-structure interactions. Compared with the Weakly Compressible SPH (WCSPH) method, the ISPH approach solves the pressure by using the pressure Poisson equation rather than the equation of state. This could provide a more stable and accurate pressure field that is important in the study of wave-structure interactions. This paper improves the solid boundary treatment of ISPH by using a high accuracy Simplified Finite Difference Interpolation (SFDI) scheme for the 2D wave-structure coupling problems, especially for free-moving structure. The proposed method is referred as the ISPH_BS. The model improvement is demonstrated by the documented benchmark tests and laboratory experiment covering various wave-structure interaction applications.

단자유도 건물의 지진응답제어를 위한 마찰감쇠기 설계 (Design of Friction Dampers for Seismic Response Control of a SDOF Building)

  • 민경원;성지영
    • 한국소음진동공학회논문집
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    • 제20권1호
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    • pp.22-28
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    • 2010
  • Approximate analysis for a building installed with a friction damper is performed to get insight of its dynamic behavior. Energy balance equation is used to have a closed analytical form solution of dynamic magnification factor(DMF). It is found out that DMF is dependent on friction force ratio and resonance frequency. Approximation of DMF and equivalent damping ratio of a friction damper is proposed with such assumption that the building with a friction damper shows harmonic steady-state response and narrow banded response behavior near resonance frequency. Linear transfer function from input external force to output building displacement is suggested from the simplified DMF equation. Root mean square of a building displacement is derived under earthquake-like random excitation. Finally, design procedure of a friction damper is proposed by finding friction force corresponding to target control ratio. Numerical analysis is carried out to verify the proposed design procedure.

운전조건에 따른 공기보조 분사기의 Sauter 평균입경에 대한 고찰 (Investigation on the Sauter Mean Diameter of an Air-Assisted Fuel Injector -Operating Parameter Consideration)

  • 장창수;최상민
    • 한국자동차공학회논문집
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    • 제8권4호
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    • pp.42-50
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    • 2000
  • Drop size distribution of an air-assisted fuel injector(AAFI) was investigated. Influence of parameters such as ambient air density supply pressure and air-liquid mass ratio(ALR) was examined through both measurement and analysis. The Sauter mean diameter$D_{32}$ varied from 9 to 25$\mu$m throughout all experimental conditions. An empirical correlation for droplet size was obtained. Analytical correlations for predicting $D_{32}$ with respect to operating conditions were also derived through energy consideration and introduction of a simplified model of the from the empirical fitting was adapted to the original equation the proposed correlation in this study matched more closely with measured results. The current correlation exhibited a favorable study matched more closely with measured results. The current correlation exhibited a favorable prediction for $D_{32}$ compared to that by the empirical correlation at selected experimental conditions so that it may be used to predict atomization performance of the AAFI at operating conditions which was not covered in the measurements. After validation the analytical equation was applied to survey the feasible operating conditions for gasoline direct injection application.

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내재적 경계 조건을 이용한 자유표면 유동 수치해석 (Numerical Simulation on the Free Surface using implicit boundary condition)

  • 이공희;백제현
    • 한국전산유체공학회지
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    • 제4권1호
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    • pp.19-26
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    • 1999
  • This paper describes a numerical method for predicting the incompressible unsteady laminar three-dimensional flows with free-surface. The Navier-Stokes equations governing the flows have been discretized by means of finite-difference approximations, and the resulting equations have been solved via the SIMPLE-C algorithm. The free-surface is defined by the motion of a set of marker particles and the interface behaviour was investigated by means of a "Lagrangian" technique. Using the GALA concept of Spalding, the conventional mass continuity equation is modified to form a volumetric or bulk-continuity equation. The use of this bulk-continuity relation allows the hydrodynamic variables to be computed over the entire flow domain including both liquid and gas regions. Thus, the free-surface boundary conditions are imposed implicitly and the problem formulation is greatly simplified. The numerical procedure is validated by comparing the predicted results of a periodic standing waves problems with analytic solutions. The results show that this numerical method produces accurate and physically realistic predictions of three-dimensional free-surface flows.

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FDDO 방법을 이용한 미소평판 주위의 저속 유동장 해석 (Analysis of Low-Speed Gas Flows Around a Micro-Plate Using a FDDO Method)

  • 정찬홍
    • 한국항공우주학회지
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    • 제32권8호
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    • pp.12-19
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    • 2004
  • 미소평판 주위의 저속 기체유동장이 기체분자운동론에 근거한 방법으로 조사되었다. 모델충돌적분항으로 단순화된 볼츠만방정식을 Discrete Ordinate 방법과 결합된 유한차분법으로 수치해석 하여 길이가 $20{\mu}m$인 5% 평판 주위의 유동장을 계산하였다. 계산결과가 Information Preservation 방법 및 미끄럼 경계조건을 이용한 연속체 방법에 의한 결과와 비교되었다. 세 가지 서로 다른 방법에 의한 계산결과가 기본적으로 유사한 유동형태를 예측하였으나, 세부적인 변에서는 본 방법의 결과가 다른 두 방법의 결과보다 더 정확함을 보였다.

Application of the Laplace transformation for the analysis of viscoelastic composite laminates based on equivalent single-layer theories

  • Sy, Ngoc Nguyen;Lee, Jaehun;Cho, Maenghyo
    • International Journal of Aeronautical and Space Sciences
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    • 제13권4호
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    • pp.458-467
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    • 2012
  • In this study, the linear viscoelastic response of a rectangular laminated plate is investigated. The viscoelastic properties, expressed by two basic spring-dashpot models, that is Kelvin and Maxwell models, is assumed in the range to investigate the influence of viscoelastic coefficients to mechanical behavior. In the present study, viscoelastic responses are performed for two popular equivalent single-layered theories, such as the first-order shear deformation theory (FSDT) and third-order shear deformation theory (TSDT). Compliance and relaxation modulus of time-dependent viscoelastic behavior are approximately determined by Prony series. The constitutive equation for linear viscoelastic material as the Boltzmann superposition integral equation is simplified by the convolution theorem of Laplace transformation to avoid direct time integration as well as to improve both accuracy and computational efficiency. The viscoelastic responses of composite laminates in the real time domain are obtained by applying the inverse Laplace transformation. The numerical results of viscoelastic phenomena such as creep, cyclic creep and recovery creep are presented.

고 아음속 터빈 깃 주위의 열유동 및 내부 열전달에 관한 수치해석 연구 (A Numerical Investigation of External and Internal Heat Transfer in A High Subsonic in Turbine Cascade)

  • 김우진;김현식;곽재수;김학봉
    • 한국항공운항학회지
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    • 제18권1호
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    • pp.33-38
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    • 2010
  • Developments of numerical methods are very important to design and analysis for a high subsonic turbine blade. In general, Analysis by experimental investigation has needed a lot of human resources and required time, indispensably, and equipments still have a limit to measure in conditions of high temperature. Rapid technological developments of CPU and integration level of memory make it possible to advance computation with almost exactly simulation so, recent developments of numerical methods are in spotlight. In the present study, the panel method, which is well-known as relatively simplified numerical method, and 2-dimensional ordinary differential Falkner-Skan equation were computed in order to analyze the outer flow, and FVM-based solid heat transfer equation, was also computed to forecast the temperature distribution of the airfoil and the turbine blade. Unstructured grid was constructed in the turbine blade, which has double cooling holes, in order to analyze the internal heat transfer. Cooling fluid was assumed as fully-developed turbulent flow and that circulated in cooling holes.

조정방정식법(調整方程式法)(혹은 이완방정식법(弛緩方程式法))과 연속량(連續梁)에의 응용(應用) (Adjusting Equation Method (or Relaxation Equation Method) and its Application to the Influence Line Analysis of Continuous Beams)

  • 조현영;김미옥
    • 대한토목학회논문집
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    • 제14권3호
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    • pp.487-493
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    • 1994
  • 강절(剛節) 뼈대 구조물(構造物)의 해석(解析)에 적용하는 모멘트 분배법은 총조정(總調整) 모멘트라는 개념을 이용하여 연립방정식(聯立方程式)으로 간단히 표현된다. 이 방정식(方程式)은 간단한 손계산기(hand calculator)로 직접 작성되고 쉽게 풀어질 수 있다. 이 방정식(조정방정식(調整方程式))은 무한번의 분배 과정을 완료한 상태를 나타내며 그 해는 소거법(消去法)으로 풀 수도 있으나 일종의 이완방정식(弛緩方程式)으로써 되풀이 산법을 사용하면 간단히 풀어진다. 이 방법이 연속량(連續梁)의 휨 모멘트 계산이나 영향선(影響線) 해석(解析)에 어떻게 이용될 수 있는 지를 두개의 예제로서 설명하였다. 특히 영향선의 해법은 전산에 편리하도록 행렬(行列)로 표현하였다.

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중형버스 다출구 덕트의 최적설계에 관한 해석적 고찰 (A Numerical Analysis on the Optimum Design of a Duct with Multiple Outlets in a Medium Bus)

  • 김민호;천인범;이대훈
    • 한국자동차공학회논문집
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    • 제10권4호
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    • pp.223-233
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    • 2002
  • The air distribution duct with multiple outlets is an essential part of automotive air-conditioning system In a bus. The estimation of airflow rate in an automotive air-conditioning duct is typically very complicate due to large variations in cross-sectional area and abrupt changes in flow direction, as well as unbalanced distribution of the flow. In this paper, the flow characteristic in a duct with multiple outlets is investigated through experiment, CFD simulation and a one-dimensional simulation. Numerical simulations have been performed for two simplified air conditioning ducts with multiple outlets used in a medium bus. The three dimensional Navier-Stokes code was used to evaluate the overall pressure, velocity Held, and distribution rate at each diffuser according to the change of various design parameters such as ratio of cross-sectional area and radius of bifurcated region. In addition, a one-dimensional program based on Bernoulli equation was developed to obtain optimized diffuser area required to equalize discharge flow rate at each outlet. As a result of this study, optimized diffuser area of design variable by one-dimensional program was very reasonable as compared to the trend deduced from CFD Simulation. Therefore, the simple and convenient one-dimensional analysis developed in this study can be applied in practical design procedure for air-conditioning duct.

플랜트 배관계에서 배관지지대 설계 기법에 관한 연구 (A Study on Piping Support Design Process in Plant Piping System)

  • 정철섭
    • 한국가스학회지
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    • 제18권6호
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    • pp.14-20
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    • 2014
  • 본 연구에서 배관계의 구조 건전성을 보장할 수 있는 배관 지지대 설계 절차를 ASME 코드에 따라 수행하였다. 본 설계 절차는 단순화된 설계식 및 여러 하중에 대한 보수적인 허용 값을 제공한다. 배관 스트랩 지지대를 구성하는 바닥판, 바닥 지지판 및 앵커 볼트에 대한 응력해석을 수행하여 ASME 코드 상호작용 설계식을 사용하여 구조 건전성을 평가하였다. 여러 하중에 대한 하중 및 하중 조합에 대한 응력 수준이 허용 값 이내에 분포하므로 구조적 건전성을 유지한다고 평가할 수 있다.