• 제목/요약/키워드: central finite difference

검색결과 122건 처리시간 0.025초

베어링 편심도와 자세각에 따른 저어널 베어링의 윤활효과 (Lubrication Effect of Journal Bearing according to its Eccentricity and Attitude Angle)

  • 김종도;왕일군;윤문철
    • 한국기계가공학회지
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    • 제14권5호
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    • pp.88-95
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    • 2015
  • The thickness of adsorbed molecular layers is the most critical factor in studying thin-film lubrication, and it is the most essential parameter that distinguishes thin-film from thick-film lubrication analysis. The thin film between the shaft and bearing surface within a very narrow gap was considered. The general Reynolds equation has been derived for calculating thin-film lubrication parameters affecting the performance of the circular journal bearing. Investigation of the load-carrying capacity and pressure distribution for the journal bearing considering the adsorbed layer thickness has been carried out. A Reynolds equation appropriate for the journal bearing is used in this paper for the analysis, and it is discussed using the finite difference method of the central difference scheme. The parameters, such as eccentricity and attitude angle, are used for discussing the load-carrying capacity of the journal bearing. The results reported in this paper should be applied to analysis of the journal bearing with different lubrication factors. The steady-state analysis of the journal bearing is conducted using the Reynolds model under thin-film lubrication conditions. For a journal bearing, several parameters, such as a pressure, load capacity, and pressure components of the bearing can be obtained, and these results can be stored in a sequential data file for later analysis. Finally, their distribution can be displayed and analyzed easily by using the MATLAB GUI technique. The load-carrying capability of the journal bearing is observed for the specified operating conditions. This work could be helpful for the understanding and research of the mechanism of thin-film lubrication.

유한체적법을 기초한 레티스 볼쯔만 방법을 사용하여 직사각형 공동에서의 난류 자연대류 해석 (COMPUTATION OF TURBULENT NATURAL CONVECTION IN A RECTANGULAR CAVITY WITH THE FINITE-VOLUME BASED LATTICE BOLTZMANN METHOD)

  • 최석기;김성오
    • 한국전산유체공학회지
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    • 제16권4호
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    • pp.39-46
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    • 2011
  • A numerical study of a turbulent natural convection in an enclosure with the lattice Boltzmann method (LBM) is presented. The primary emphasis of the present study is placed on investigation of accuracy and numerical stability of the LBM for the turbulent natural convection flow. A HYBRID method in which the thermal equation is solved by the conventional Reynolds averaged Navier-Stokes equation method while the conservation of mass and momentum equations are resolved by the LBM is employed in the present study. The elliptic-relaxation model is employed for the turbulence model and the turbulent heat fluxes are treated by the algebraic flux model. All the governing equations are discretized on a cell-centered, non-uniform grid using the finite-volume method. The convection terms are treated by a second-order central-difference scheme with the deferred correction way to ensure accuracy and stability of solutions. The present LBM is applied to the prediction of a turbulent natural convection in a rectangular cavity and the computed results are compared with the experimental data commonly used for the validation of turbulence models and those by the conventional finite-volume method. It is shown that the LBM with the present HYBRID thermal model predicts the mean velocity components and turbulent quantities which are as good as those by the conventional finite-volume method. It is also found that the accuracy and stability of the solution is significantly affected by the treatment of the convection term, especially near the wall.

천음속 압축기 동익을 지나는 삼차원 유동의 수치해석 (Numerical Calculation of Three-Dimensional F1ow through A Transonic Compressor Rotor)

  • 이용갑;김광용
    • 대한기계학회논문집B
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    • 제25권10호
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    • pp.1384-1391
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    • 2001
  • Three-dimensional flow analysis is implemented to investigate the flow through transonic axial-flow compressor rotor(NASA R67) and to evaluate the performances of Abid's low-Reynolds-number k-$\omega$ and Baldwin-Lomax turbulence models. A finite volume method is used fur spatial discretization. The equations are solved implicitly in time by the use of approximate factorization. The upwind difference scheme is used for inviscid terms and viscous terms are approximated with central difference. The flux-difference-splitting method of Roe is used to obtain fluxes at the cell faces. Numerical analysis is performed near peak efficiency and near stall. The results are compared with the experimental data for NASA R67 rotor. Blade-to-Blade Mach number distributions are compared to confirm the accuracy of the code. From the results, it is concluded that Abid'k-$\omega$ model is better for the calculation of flow rate and efficiency than Baldwin-Lomax model. But, the predictions for Mach number and shock structure are almost the same.

유한요소법을 이용한 IMZ임플란트의 플라스틱 및 티타늄 IME의 응력분포에 관한 연구 (A STUDY ON STRESS DISTRIBUTION IN IMZ IMPLANT WITH A PLASTIC OR A TITANIUM IME USING FINITE ELEMENT ANALYSIS)

  • 하치양;최부병;우이형
    • 대한치과보철학회지
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    • 제31권4호
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    • pp.625-642
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    • 1993
  • Whether stress-absorbing elements are functional in an implant system has been an issue of interest in oral implantology. The unique feature of the IMZ implant system is the planned imitation of the stress-distributing function of the structural unit of the tooth, periodontium, and alveolar bone through the use of an intramobile element(IME). The purpose of this study was to compare the difference in the displacement and the stress distibutions of IMZ implant with a polyoxymethylene(POM) or a titanium IME under static load. Two dimensional finite element analysis(FEA) was applied for this study and two finite element models were created. PATRAN program(DPA Co.,USA), a software for FEA, and SUN-SPARC2GX(SUN Co., USA), a workstation computer, were used. $1Kg/mm^2$ of static load was loaded individually on each three point of crown of implant prosthesis ; central fossa(load 1), mesial cusp tip(load 2), distal cusp tip(load 3), The displacements of X- and Y-axis and total displacement were measured at mesial and distal cusp tips, mesial and distal points between crown and IME, and implant apex. The von Mises stress was measured at mesial and distal points between crown and IME, mesial and distal points between IME and TIE, mesial and distal alveolar crest, the mesial and distal midpoints of implant, and implant apex. The difference in resultant values were compared and evaluated statistically using paired t-test. The results were as follows : 1. Under the load 1, all the displacement of implant with titanium IME at 5 measuring points was larger than that of with POM IME except total and Y-axis displacement at implant apex. And the differences in stress distributions with POM and titanium were varied. 2. Under the load 2, all the displacement of implant with titanium IME at 5 measuring points was larger than that of with POM IME except X-axis displacement at distal cusp tip. And the differences in stress distributions were varied. 3. Under the load 3, all the displacement of implant with titanium IME at 5 measuring points was larger than that of with POM IME except Y-axis displacement at mesial cusp tip. And the differences in stress distributions were varied. 4. For the displacement, there was significant difference statistically only in total displacement (P<0.1), but was no significant difference in X- and Y-axis displacement(P>0.1). For the stress, there was no significant difference among the compared values.

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MacCormack 방법의 개량에 대한 연구 (Some Modifications of MacCormark's Methods)

  • 하영수;유승재
    • 융합보안논문지
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    • 제5권3호
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    • pp.93-97
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    • 2005
  • MacCormack 방법은 hyperbolic 편미분 방정식의 근을 구하는데 많이 쓰이는 방법으로 그 정확도가 2차 오더가 된다. 하지만 이 방법으로 편미분방정식을 풀 경우 불연속인 점에서는 엔트로피를 만족하지 않는 경우가 있어 우리는 임의의 항을 첨가하여 근을 구해야한다. 이 임의의 항을 첨가하지 않고 직접 방정식으로부터 구하는 방법을 생각하는데 있어서 기존의 MacCormack 방법에 새 central scheme의 개념을 이용하면 전형적인 MacCormack 방법의 정확도와 장점을 보존할 수 있다. 이 새로운 방법을 이용하여 1D Burgers' 방정식과 1D Euler gas dynamic 방정식에 활용하여 그 결과를 살펴본다.

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다단계 온도 감지막을 가진 마이크로 흐름센서의 열전달 특성 (Thermal Flow Characteristics of a New Micro Flow Sensor with Multiple Temperature Sensing Elements)

  • 김태용;정완영
    • 한국정보통신학회논문지
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    • 제9권3호
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    • pp.595-600
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    • 2005
  • 마이크로 흐름센서는 반도체 집적기술을 이용할 수 있어, 소형으로 제작이 가능하며 빠른 응답특성을 가져 다양한 분야에 응용되고 있다. 본 연구에서는 넓은 흐름의 세기 영역에서 정밀한 감도를 가지는 2차원의 마이크로 흐름센서를 실리콘 기판위에 적충시켜 제작하였다. 흐름센서의 중앙에 하나의 히터와 양측에 온도를 검출할 수 있는 3쌍의 감지막을 가진 새로운 센서 구조를 제안하고, 온도 검출에 대한 성능평가를 위하여 시간영역에서의 유한차분법을 이용하여 공기흐름의 세기 변화에 따른 온도분포를 계산하였다. 계산결과를 통하여 실제 흐름센서의 동작을 정량적으로 분석하였다.

열운송 방정식을 이용한 마이크로 흐름센서의 온도특성 해석 (Temperature Property Analysis of Micro Flow Sensor using Thermal Transfer Equation)

  • 김태용;정완영
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2005년도 춘계종합학술대회
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    • pp.363-366
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    • 2005
  • 마이크로 흐름센서는 종래의 반도체 집적회로 공정기술을 이용하여 소형으로 제작이 가능하며, 빠른 응답특성으로 다양한 응용이 기대되고 있다. 본 연구에서는 넓은 흐름의 세기 영역에서 정밀한 감도를 가지는 2차원 마이크로 흐름센서를 실리콘 기판위에 설계하였다. 흐름센서 중앙에 하나의 히터와 양측에 3쌍의 온도 감지막을 가진 새로운 구조를 제안하고, 제안된 구조의 성능평가를 위해 유한차분법을 이용하석 열운송방정식을 시간영역에서 해석하였다. 성능평가는 제안된 흐름센서 모델에 대하여 공기흐름의 세기 변화에 따른 온도분포를 계산함으로써 실제 흐름센서의 동작을 정량적으로 분석하였다.

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고차 전단 변형이론에 의한 복합재료 적층판의 저속 충격응답 (Low-velocity impact response of laminated composite plates using a higher order shear deformation theory)

  • 이영신;박웅
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1365-1381
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    • 1990
  • 본 연구에서는 Kant 등이 제안한 고차판이론의 C연속변위 유한요소 모델을 사 용하여 충격자와 적층판의 저속 충격 응답에 대하여 연구하여 그 결과를 Mindlin의 판 이론에 의한 계산 결과와 비교하고, 경계 조건의 영향 및 충격자의 충격속도, 질량변 화에 대한 접촉력의 변화를 고찰하고자 한다.

충격하중을 받는 박판의 후좌굴 해석 (Postbuckling Analysis of Thin Plates under Impact Loading)

  • 김형열;박선규
    • 한국구조물진단유지관리공학회 논문집
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    • 제6권3호
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    • pp.139-149
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    • 2002
  • Explicit 직접적분법을 사용하여 충격하중을 받는 박판의 후좌굴거동을 해석할 수 있는 알고리즘을 제안하였다. von Karman의 대변위 판 이론과 Marquerre의 쉘 이론을 이용하여 유도한 직사각형 평판 유한요소는 박판의 초기처짐과 기하학적 비선형 거동을 고려할 수 있다. 중앙차분법을 바탕으로 해석 알고리즘을 개발하였고 이를 프로그램화 시켜, 하중형상과 재하시간이 다른 충격하중에 대하여 박판의 동적 좌굴거동을 해석 하였다. 수치해석 예제를 통하여 Explicit 직접적분법의 특성을 평가하였다.

AN ENERGY-STABLE AND SECOND-ORDER ACCURATE METHOD FOR SOLVING THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

  • KIM, JEONGHO;JUNG, JINWOOK;PARK, YESOM;MIN, CHOHONG;LEE, BYUNGJOON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제23권2호
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    • pp.93-114
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    • 2019
  • In this article, we introduce a finite difference method for solving the Navier-Stokes equations in rectangular domains. The method is proved to be energy stable and shown to be second-order accurate in several benchmark problems. Due to the guaranteed stability and the second order accuracy, the method can be a reliable tool in real-time simulations and physics-based animations with very dynamic fluid motion. We first discuss a simple convection equation, on which many standard explicit methods fail to be energy stable. Our method is an implicit Runge-Kutta method that preserves the energy for inviscid fluid and does not increase the energy for viscous fluid. Integration-by-parts in space is essential to achieve the energy stability, and we could achieve the integration-by-parts in discrete level by using the Marker-And-Cell configuration and central finite differences. The method, which is implicit and second-order accurate, extends our previous method [1] that was explicit and first-order accurate. It satisfies the energy stability and assumes rectangular domains. We acknowledge that the assumption on domains is restrictive, but the method is one of the few methods that are fully stable and second-order accurate.