• 제목/요약/키워드: numerical radius

검색결과 616건 처리시간 0.022초

ALTERNATING DIRECTION IMPLICIT METHOD FOR TWO-DIMENSIONAL FOKKER-PLANCK EQUATION OF DENSE SPHERICAL STELLAR SYSTEMS

  • Shin, Ji-Hye;Kim, Sung-Soo
    • 천문학회지
    • /
    • 제40권4호
    • /
    • pp.91-97
    • /
    • 2007
  • The Fokker-Planck (FP) model is one of the commonly used methods for studies of the dynamical evolution of dense spherical stellar systems such as globular clusters and galactic nuclei. The FP model is numerically stable in most cases, but we find that it encounters numerical difficulties rather often when the effects of tidal shocks are included in two-dimensional (energy and angular momentum space) version of the FP model or when the initial condition is extreme (e.g., a very large cluster mass and a small cluster radius). To avoid such a problem, we have developed a new integration scheme for a two-dimensional FP equation by adopting an Alternating Direction Implicit (ADI) method given in the Douglas-Rachford split form. We find that our ADI method reduces the computing time by a factor of ${\sim}2$ compared to the fully implicit method, and resolves problems of numerical instability.

회전하는 원형단면 실린더 주위의 난류유동 물질전달에 대한 직접수치모사 ( I ) - 높은 Schmidt 수에 대하여 - (Direct Numerical Simulation of Mass Transfer in Turbulent new Around a Rotating Circular Cylinder ( I ) - At Sc=1670 -)

  • 황종연;양경수
    • 대한기계학회논문집B
    • /
    • 제29권7호
    • /
    • pp.837-845
    • /
    • 2005
  • In this paper, an investigation on high-Schmidt number (Sc=1670) mass transfer in turbulent flow around a rotating circular cylinder is carried out by Direct Numerical Simulation. The concentration field is computed for three different values of low Reynolds number, namely 161, 348 and 623 based on the cylinder radius and friction velocity. Statistical study reveals that the thickness of Nernst diffusive layer is very small compared with that of viscous sub-layer in the case of high Sc mass transfer. Strong correlation of concentration field with streamwise and vertical velocity components is observed. However, that is not the case with the spanwise velocity component. Instantaneous concentration visualization reveals that the length scale of concentration fluctuation typically decreases as Reynolds number increases. Statistical correlation between Sherwood number and Reynolds number is consistent with other experiments currently available.

Numerical study on the walking load based on inverted-pendulum model

  • Cao, Liang;Liu, Jiepeng;Zhang, Xiaolin;Chen, Y. Frank
    • Structural Engineering and Mechanics
    • /
    • 제71권3호
    • /
    • pp.245-255
    • /
    • 2019
  • In this paper, an inverted-pendulum model consisting of a point supported by spring limbs with roller feet is adopted to simulate human walking load. To establish the kinematic motion of first and second single and double support phases, the Lagrangian variation method was used. Given a set of model parameters, desired walking speed and initial states, the Newmark-${\beta}$ method was used to solve the above kinematic motion for studying the effects of roller radius, stiffness, impact angle, walking speed, and step length on the ground reaction force, energy transfer, and height of center of mass transfer. The numerical simulation results show that the inverted-pendulum model for walking is conservative as there is no change in total energy and the duration time of double support phase is 50-70% of total time. Based on the numerical analysis, a dynamic load factor ${\alpha}_{wi}$ is proposed for the traditional walking load model.

Numerical modelling of springback behavior in folding process

  • Serier, Mohamed;Bendaoudi, Seif-Eddine;Mansour, DJazia-Leila Ben;Tabti, Affaf
    • Advances in materials Research
    • /
    • 제8권2호
    • /
    • pp.75-81
    • /
    • 2019
  • Through experimental and numerical studies of metal forming processes by plastic deformation, this paper represents a numerical simulation by finite element of the mechanical behavior of the material during a permanent deformation phenomenon. The main interest of this study is to optimize the shaping processes such as folding. In this context the elastic return for the folding process has been further reduced by using the design of experiments approach. In this analysis, it is proposed to consider the following factors: bending radius, metal-sheet thickness, gap and length of the fold.

Computerized responses of spinning NEMS via numerical and mathematical modeling

  • Zhou, Lingao
    • Structural Engineering and Mechanics
    • /
    • 제82권5호
    • /
    • pp.629-641
    • /
    • 2022
  • This study deals with the spinning impact on flap-wise vibration characteristics of nonlocal functionally graded (FG) cylindrical beam based on the Hyperbolic shear deformation beam theory. The nonlocal strain gradient theory is used to investigate the small-scale impact on the nonlocal motion equation as well as corresponding nonlocal boundary conditions. Based on the mathematical simulation and according to the Hamilton principle, the computerized modeling of a rotating functionally graded nanotube is generated, and then, via a numerical approach, the obtained mathematical equations are solved. The calculated outcomes are helpful to the production of Nano-electro-mechanical-systems (NEMS) by investigating some designed parameters such as rotating speed, hub radius, length-scale parameters, volume fraction parameters, etc.

평지 전통마을 갈림길의 중심각과 곡률반경에 관한 연구 (Model on the Relationship between the Radius of Curvature and Central Angle -the Case of Divided-roads in Flat Traditional Villages-)

  • 김윤하;안계복
    • 한국조경학회지
    • /
    • 제28권2호
    • /
    • pp.10-16
    • /
    • 2000
  • The purpose of this study is to identify relationships between a central angle and a radius of curvature of divided roads in flat terrain of traditional villages, suggesting layout criteria for traditional villages: Nak-an, Sung-Eup, Ha-Whe. This study is sought to find the optimum model through the various SAS regression analyses. a regression analysis of this data was adopted to induce the relationship formula between a central angle of curve and a radius of curvature. Results of this study are as follows: 1) Most of the divided roads in traditional villages have a complex curve rather than a simple curve. 2) A central angle of curve has ranged from 11$^{\circ}$to 127$^{\circ}$, with a mean degree of 63.9. 3) In the lower level of central angle(11-40$^{\circ}$), the branch roads have distributed with a high frequency, but with a low frequency in the higher level of central angle(90-140$^{\circ}$). 4) A radius of curvature in the divided roads has ranged from 0.9m to 59.6, but half of the roads have concentrated on 1-6m of the curvature. 5) Compared to the result of hilly villages in previous study(Ahn, 1999), value of central angels in flat villages is lower than that of hilly villages, while a mean value of the curvature is higher than that of hilly villages. 6) A Non-linear regression analysis, resulting from the SAS application, was useful method to induce a relationship formula between a central angle and a radius of curvature in the branch roads. Our study's formula is as follow: R=100.3*EXP(-0.06*$\delta$)+3.91. 7) Our study model has less error than that of the Kishizuka's method, being applicable to a broader range of the branch roads. 8) A minimum radius of curvature in our study has showed 3.9m, suggesting to reconsider applications of the Kishizuka's(5.8m) in the footpass design, In the study for this presupposition model the efficiency and utility of it can be estimated to grow large according to how much and how far it includes both extremes of data. This study is for the application to a design in future through the numerical formula of divided roads of various traditional villages. The studies from now on will be about the quasi-hilly quasi-hilly village and hilly village supplementing these factors more.

  • PDF

Simulating vibration of single-walled carbon nanotube using Rayleigh-Ritz's method

  • Hussain, Muzamal;Naeem, Muhammad Nawaz;Taj, Muhammad;Tounsi, Abdelouahed
    • Advances in nano research
    • /
    • 제8권3호
    • /
    • pp.215-228
    • /
    • 2020
  • In this paper, a new method based on the Sander theory is developed for SWCNTs to predict the vibrational behavior of length and ratio of thickness-to-radius according to various end conditions. The motion equation for this system is developed using Rayleigh-Ritz's method. The proposed model shows the vibration frequencies of armchair (5, 5), (7, 7), (9, 9), zigzag (12, 0), (14, 0), (19, 0) and chiral (8, 3), (10, 2), (14, 5) under different support conditions namely; SS-SS, C-F, C-C, and C-SS. The solutions of frequency equations have been given for different boundary condition, which have been given in several graphs. Several parameters of nanotubes with characteristic frequencies are given and vary continuously in length and ratio of thickness-to-radius. It has been illustrated that an enhancing the length of SWCNTs results in decreasing of the frequency range. It was demonstrated by increasing of the height-to-radius ratio of CNTs, the fundamental natural frequency would increase. Moreover, effects of length and ratio of height-to-radius with different boundary conditions have been investigated in detail. It was found that the fundamental frequencies of C-F are always lower than that of other conditions, respectively. In addition, the existence of boundary conditions has a significant impact on the vibration of SWCNTs. To generate the fundamental natural frequencies of SWCNTs, computer software MATLAB engaged. The numerical results are validated with existing open text. Since the percentage of error is negligible, the model has been concluded as valid.

역열손실 방법을 이용한 냉장고 얼음 배출구 영역에서의 열손실 개선에 관한 연구 (A Study on the Heat Loss Improvement in a Refrigerator Ice Dispenser by Using Reverse Heat Loss Method)

  • 하지수
    • 에너지공학
    • /
    • 제22권2호
    • /
    • pp.105-111
    • /
    • 2013
  • 본 연구는 빌트인 냉장고 내부를 가열하여 냉장고의 열손실 특성을 파악하는 역열손실 방법을 이용하여 냉장고의 열손실이 큰 부분이 어느 영역인지를 분석함으로써 이를 개선하는 것에 목적을 두고 있다. 이를 위해서 적외선 열화상 카메라를 이용하여 냉장고 외부 표면 온도를 측정함으로써 열손실을 분석하였으며 이를 통하여 상대적으로 열손실이 큰 부분인 얼음배출구에서의 열손실 개선을 시도하였다. 또한, 이에 관한 열전달 전산해석을 수행하여 열손실 구조를 규명하였으며 적용 가능한 열손실 개선 방안인 모서리 부분의 곡면반경을 증가하여 열손실이 개선되는 특성을 살펴보았다. 본 연구의 결과로 부터 얼음배출구 모서리 부분의 곡면 반경을 30mm로 하면 모서리 부분의 열손실이 최적으로 개선되는 것을 알 수 있었다.

마멸율에 관한 저널베어링의 최적설계 (Optimum Design of Journal Bearings considering the Wear Rate)

  • 임오강;이왕진
    • 한국전산구조공학회논문집
    • /
    • 제15권1호
    • /
    • pp.155-164
    • /
    • 2002
  • 저널과의 마찰과 마멸을 줄이기 위하여 저널베어링이 사용된다. 저널베어링은 유체 윤활 상대에서 사용되나, 압력이 지나치게 높거나 회전 속도가 작아지면 탄성 유체 윤활 상태의 유막이 파괴되어 접촉부의 돌기가 접촉되는 경계 윤활 상태가 된다. 따라서 혼합 윤활 상태가 되면 저널베어링의 마멸량이 증가하게 된다 본 논문은 마멸율을 최소화함으로 저널베어링의 수명을 연장하는 최적설계를 수행하였다 목적 함수로 혼합 윤활 영역에서 적용되는 마멸을 함수를 사용하였고, 저널베어링 설계에서 고려할 성능 인자들인 마찰 손실, 안정 한계 속도, 유막 파라미터 등을 제약 함수로 사용하였다. 저널베어링 형상을 나타내는 베어링 반경, 축 반경, 베어링 폭 등에서 본 연구는 베어링 반경을 설계 변수로 하였다. 정식화한 설계인자를 이용하여 저널베어링의 최적 설계를 순차 이차 계획법인 PLBA알고리즘을 사용하여 수행하였다.

Spiral Arm Features in Disk Galaxies: A Density-Wave Theory

  • Kim, Yonghwi;Ho, Luis C.
    • 천문학회보
    • /
    • 제44권1호
    • /
    • pp.34.2-34.2
    • /
    • 2019
  • Several observational results show a tighter pitch angle at wavelengths of optical and near-infrared than those that are associated with star formation, which is in agreement with the prediction of the density wave theory. In my recent numerical studies, the dependence of the shock positions relative to the potential minima is due to the tendency that stronger shocks form farther downstream. This causes a systematic variation of the perpendicular Mach number, with radius and makes the pitch angle of the gaseous arms smaller than that of the stellar arms, which supports the prediction of the density-wave theory, independently. However, some observations still give controversial results which show similar pitch angles at wavelengths, and there is no statistical study comparing observations and numerical models directly. By analyzing optical image of disk galaxies in the Carnegie-Irvine Galaxy Survey (CGS), I measured the physical values of stellar and gaseous arms such as their strength, length, and pitch angles. For direct comparison with numerical results, I analyzed more than 30 additional numerical models with varying the initial parameters in model galaxies. In this talk, I will present results both of observational and numerical samples and discuss the physical properties of spiral structures based on the density-wave theory.

  • PDF