• 제목/요약/키워드: finite difference technique

검색결과 332건 처리시간 0.03초

A mathematical model of blood flow and convective diffusion processes in constricted bifurcated arteries

  • Chakravarty S.;Sen S.
    • Korea-Australia Rheology Journal
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    • 제18권2호
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    • pp.51-65
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    • 2006
  • Of concern in the present theoretical investigation is the study of blood flow and convection-dominated diffusion processes in a model bifurcated artery under stenotic conditions. The geometry of the bifurcated arterial segment having constrictions in both the parent and its daughter arterial lumen frequently appearing in the diseased arteries causing malfunction of the cardiovascular system, is constructed mathematically with the introduction of suitable curvatures at the lateral junction and the flow divider. The streaming blood contained in the bifurcated artery is treated to be Newtonian. The flow dynamical analysis applies the two-dimensional unsteady incompressible nonlinear Wavier-Stokes equations for Newtonian fluid while the mass transport phenomenon is governed by the convection diffusion equation. The motion of the arterial wall and its effect on local fluid mechanics is, however, not ruled out from the present model. The main objective of this study is to demonstrate the effects of constricted flow characteristics and the wall motion on the wall shear stress, the concentration profile and on the mass transfer. The ultimate numerical solutions of the coupled flow and diffusion processes following a radial coordinate transformation are based on an appropriate finite difference technique which attain appreciable stability in both the flow phenomena and the convection-dominated diffusion processes.

이중범프포일 공기베어링의 성능해석 (Performance Analysis of Double-Bumped Air Foil Bearings)

  • 김영철;이동현;김경웅
    • Tribology and Lubricants
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    • 제23권3호
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    • pp.123-129
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    • 2007
  • This paper presents a theoretical model for the analysis of double-bumped AFBs. The stiffness and damping coefficients of the double bump vary depending on the external load and its friction coefficient. In the case of a lightly loaded condition where only the upper bump contributes to deformation, the double bump is in the single active region. In the case of a heavily loaded condition where both the upper and lower bumps contribute to deformation, the double bump is in the double active region. So the double bump can be either in the single or double active region depending on vertical deflection. The equivalent stiffness and damping coefficients of the bump system are derived from the vertical and horizontal deflection of the bump, including the friction effect. A static and dynamic performance analysis is carried out by using the finite difference method and the perturbation technique. The results of the performance analysis for a double-bumped AFB are compared with those obtained for a single-bumped AFB. This paper successfully proves that a double bumped AFB has higher load capacity, stiffness, and damping than a single-bumped AFB in a heavily loaded condition.

Parameter identification for nonlinear behavior of RC bridge piers using sequential modified extended Kalman filter

  • Lee, Kyoung Jae;Yun, Chung Bang
    • Smart Structures and Systems
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    • 제4권3호
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    • pp.319-342
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    • 2008
  • Identification of the nonlinear hysteretic behavior of a reinforced concrete (RC) bridge pier subjected to earthquake loads is carried out based on acceleration measurements of the earthquake motion and bridge responses. The modified Takeda model is used to describe the hysteretic behavior of the RC pier with a small number of parameters, in which the nonlinear behavior is described in logical forms rather than analytical expressions. Hence, the modified extended Kalman filter is employed to construct the state transition matrix using a finite difference scheme. The sequential modified extended Kalman filter algorithm is proposed to identify the unknown parameters and the state vector separately in two steps, so that the size of the problem for each identification procedure may be reduced and possible numerical problems may be avoided. Mode superposition with a modal sorting technique is also proposed to reduce the size of the identification problem for the nonlinear dynamic system with multi-degrees of freedom. Example analysis is carried out for a continuous bridge with a RC pier subjected to earthquake loads in the longitudinal and transverse directions.

실리콘에 기초한 새로운 크로스바 구조의 손실있는 대칭 결합선로에 대한 유한차분법을 이용한 해석 (Analysis of Symmetric Coupled Line with New Crossbar Embedded on Si-based Lossy Structure using the FDTD Method)

  • Kim, Yoonsuk
    • 한국군사과학기술학회지
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    • 제4권2호
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    • pp.122-129
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    • 2001
  • A characterization procedure for analyzing symmetric coupled MIS(Metal-Insulator-Semiconductor) transmission line is used the same procedure as a general single layer symmetric coupled line with perfect dielectric substrate from the extraction of the characteristic impedance and propagation constant for even- and odd-mode. In this paper, an analysis for a new substrate shielding symmetric coupled MIS structure consisting of grounded crossbar at the interface between Si and SiO2 layer using the Finite- Difference Time-Domain(FDTD) method is presented. In order to reduce the substrate effects on the transmission line characteristics, a shielding structure consisting of grounded crossbar lines over time-domain signal has been examined. Symmetric coupled MIS transmission line parameters for even- and odd-mode are investigated as the functions of frequency, and the extracted distributed frequency- dependent transmission line parameters and corresponding equivalent circuit parameters as well as quality factor for the new MIS crossbar embedded structure are also presented. It is shown that the quality factor of the symmetric coupled transmission line can be improved without significant change in the characteristic impedance and effective dielectric constant.

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Fe-Cr-Ni강 용접금속부의 미세편석에 관한 해석 (Analysis of Microsegregation in Fe-Cr-Ni Weld Metal)

  • 박준민;박종민;안상곤;이창희;윤의박
    • Journal of Welding and Joining
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    • 제16권5호
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    • pp.56-66
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    • 1998
  • During solidification or welding of alloys, the solute redistribution brings out microsegregation. The microsegregation causes the formation of non-equilibrium second phases, shrinkage and porosity degrading mechanical/chemical properties Therefore, it has been required to predict microsegregation quantitatively. To predict the degree of microsegregation, more exact and appropriate computer simulation technique has been actively used during last two decades. To predict the degree of microsegregation in weld metal, an advanced two dimensional model was suggested. In the new model, both primary and secondary arm regions were defined for the analysis region. The growth in the primary arm regina was assumed to be a planar for effective calculation. Especially, for the growth of a secondary arm, a simple and effective mathematical function was established to show the growing pattern, the solute diffusion in the solid phase was calculated by finite difference method (FDM). The solid-liquid interface movement was considered to be in local equilibrium state. The experiments for welding of 310S stainless steel were carried out in order to examined the reasonability and feasibility of this model. The concentration profiles of the solute predicted by this model were compared with those obtained from experimental works.

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강한 압력 교란에 구속된 고압 액적의 천이 기화 (Droplet Vaporization in High Pressure Environments with Pressure Oscillations)

  • 김성엽;윤웅섭
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2003년도 제21회 추계학술대회 논문집
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    • pp.157-163
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    • 2003
  • A systematic numerical experiment has been conducted to study droplet gasification in high pressure environments with pressure oscillations. The general frame of previous rigorous model[1] is retained but tailored for flash equilibrium calculation of vapor-liquid interfacial thermodynamics. Time-dependent conservation equations of mass, momentum, energy, and species concentrations are formulated in axisymmetric coordinate system for both the droplet interior and ambient gases. In addition, a unified property evaluation scheme based on the fundamental equation of state and empirical methods are used to find fluid thermophysical properties over the entire thermodynamic domain of interest. The governing equations with appropriate physical boundary conditions are numerically time integrated using an implicit finite-difference method with a dual time-stepping technique. A series of calculation have been carried out to investigate the gasification of an isolated n-pentane droplet in a nitrogen gas environment over a wide range of ambient pressures and frequencies. Results show that the mean pressures and frequencies of the ambient gas have strong influences on the characteristics of the droplet gasification. The amplitude of the response increases with increasing pressure, and the magnitude of the vaporization response increases with the frequency.

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지반의 강성특성을 고려한 지반-돌핀구조계의 동적해석 (Dynamic Analysis of Mooring Dolphin System Considering Soil Properties)

  • 이진학;오세붕;윤정방;홍섭;김진하
    • 한국해양공학회지
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    • 제12권3호통권29호
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    • pp.19-30
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    • 1998
  • In this paper, the dynamic analysis of a dolphin system for mooring a floating structure such as barge mounted plant is studied. The characteristics of the soil-pile system are simplified by a set of equivalent spring elements at the mudline. To evaluate the equivalent spring constants, the finite difference method is used. Since the characteristics of the soil-pile system are nonlinear in case of soft foundation, the nonlinear dynamic analysis technique is needed. The Newmark $beta$ method incorporating the modified Newton-Raphson method(initial stiffness method) is used. A numerical analysis is performed on two mooring dolphin systems on soft foundation and rock foundation. In case of the rock foundation, the characteristics are found to be nearly linear, so the linear dynamic analysis may be sufficient to consider the foundation effect. But in case of soft foundation, the non-linearity of the foundation appears to be very signigicant, so the nonlinear dynamic analysis si needed.

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점성토의 전기삼투 배수에 관한 분석 (Analysis of Electroosmosis Drainage in Clayey Soil)

  • 김병일;한상재;김수삼
    • 한국지반공학회논문집
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    • 제19권1호
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    • pp.131-142
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    • 2003
  • 본 논문은 점성토 지반에 동전기 공법을 적용할 때 지반내에서 발생하는 현상과 그 특성을 고려하여 전기삼투 현상을 예측하고자 하였다. 이를 위하여 납으로 오염된 카올린에 대해 실내실험을 수행하여, 동전기 처리 동안 변화하는 시료의 전압, 전류, 제타포텐셜, pH분포 등의 물리 화학적 현상 간 상관성을 고려한 전기삼투 유한차분 수치 해석 프로그램을 개발하여 실험 결과와 비교하고 각 현상을 검토하였다. 그 결과, 전기삼투 흐름은 점토의 화학적 특성과 전기적 특성 변화에 매우 민감하였다. 간극수의 이온 농도가 증가하면 흐름속도는 감소하였으며, 시간에 따라 배수량은 감소하였다.

자동차용 피스톤 주물의 3차원 응고해석 (Three Dimensional Solidification Analysis in Automotive Cast Piston)

  • 김지준;김진수;류관호;최정길;이진형;홍준표
    • 한국주조공학회지
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    • 제13권3호
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    • pp.268-275
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    • 1993
  • In gravity die casting, die cooling systems are frequently employed with water cooling to remove the heat of the solidifying metal. Thermal modeling is an important technique in mold design for improving the productivity of the process. Computer simulation system which consists of pre-processor, main solidification simulator and post-processor has been developed for three dimensional solidification analysis of cyclic gravity die casting. The pre-processor is used for mesh generation in a PC system. The modified finite difference method is adopted for the main solidification simulation algorithm during all the casting cycles. The post-processor graphically presents the simulation results. Several experiments in automotive cast piston were carried out. The temperature variations in casting and mold with time are measured experimentally, and the results are compared with calculation results. The effects of cycle number on solidification pattern are also studied. Several experimental results for the prediction of shrinkage defects are compared with calculated results.

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부분 포물형 Navier-Stokes 방정식을 이용한 비압축성 이차원 박리유동 계산 (Calculation of two-dimensional incompressible separated flow using parabolized navier-stokes equations)

  • 강동진;최도형
    • 대한기계학회논문집
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    • 제11권5호
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    • pp.755-761
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    • 1987
  • 본 연구에서는 익형 위에 발생하는 박리기포 주위를 사용한 박리기포 주위 유 동해석에 목적을 두고, 원시변수(primitive variable)를 사용한 부분 포물형 Navier -Stokes 방정식을 사용하여 층류유동에 관한 간단한 기본계산을 통해 비교적 박리기포 가 큰 외부유동(external flow)에도 부분 포물형 방정식이 적용될 수 있음을 보이고자 한다.수치해법은 Galpin 등 이 이차원 관유동(channel flow)에 완전 Navier-Stokes 방정식의 해법으로 사용한 CELS(coupled equation line solver) 방법을 부분 포물형 방정식에 적합하게 수정하여 사용하였다.