• Title/Summary/Keyword: Approximation Order

Search Result 1,077, Processing Time 0.029 seconds

Development of Optimal Design Simulation Model for Least Cost Urban Sewer System Considering Risk (II) (위험도를 고려한 최소비용 도시우수관망 설계의 최적화 모형개발 (II): 위험도를 고려한 최적화 모형)

  • Park, Sang-Woo;Jang, Suk-Hwan
    • Journal of Korea Water Resources Association
    • /
    • v.38 no.12 s.161
    • /
    • pp.1029-1037
    • /
    • 2005
  • Urban Storm Sewer Optimal Design Model(USSOD) was developed to compute pipe capacity, pipe slope, crown elevation, excavation depth, risk and return cost in the condition of design discharge. Rational formula is adopted for design discharge and Manning's formula is used for pipe capacity. Discrete differential dynamic programming(DDDP) technique which is a kind of dynamic programming (DP) is used for optimization and first order second moment approximation method and uncertainty analysis is also for developing model. USSOD is applied to hypothetical drainage basin to test and verify. After testing the model, it is also applied to Ulsan drainage basin which was developed by Korea Land Cooperation(KOLAND). Comparing the design results of USSOD with those of KOLAND, discharge capacity 0.35 $m^3/sec$, the crown elevation is 0.77m higher and return cost is $9\%$ less than design results of KOLAND, which verify the improvement of USSOD. Layout design model using GIS and optimization including detention or retention effect are needed in the future study.

A Finite-difference Modeling of Love Channel Waves in Transversely Isotropic Medium (유한차분식을 이용한 Transverse 이방성(異方性) 매질내 Love채널파동 연구)

  • Cho, Dong-Heng;Lee, Sung-Soo
    • Economic and Environmental Geology
    • /
    • v.27 no.3
    • /
    • pp.281-287
    • /
    • 1994
  • The present paper deals with numerical modeling of Love channel waves in transversely isotropic elastic medium. First, an explicit finite-difference scheme of second order approximation is formulated with the wave equation of SH particle displacement in transversely isotropic medium. Since it is a heterogeneous formulation, it should enable efficient modeling of complex model structures without additional treatment of the internal boundary matching. With a model of isotropic coal seam embedded in high velocity host rock, seismograms are synthesized and tutn out to be essentially identical with published ones of Korn and $St{\ddot{o}}ckl$. Next, anisotropic coal seams are investigated. It is found that the horizontal velocity of the seam appears to play a major role of determining the group velocity of Love channel waves. The group velocity increases with the increase of the horizontal velocity or vice versa. However, further study will be needed to exploit fully Love channel waves for the determination of lithology, stratification, fracture in sedimentary rocks, for instance, for hydrocarbon exploration and development.

  • PDF

Application of the Fluctuating Microbial Counts Using Probability Approaches in Food Industries (식품산업체에서 확률분포 모델을 이용한 불규칙적인 미생물 수 분포 활용)

  • Park, Gyung-Jin;Kim, Sung-Jo;Sim, Woo-Chang;Chun, Seok-Jo;Choi, Weon-Sang;Hong, Chong-Hae
    • Journal of Food Hygiene and Safety
    • /
    • v.18 no.4
    • /
    • pp.237-242
    • /
    • 2003
  • Sequences of industrial microbial counts of foods shows irregular fluctuating patterns as adeinition of fluctuating microbial counts(FMC). Recently, it beame clear that the FMC was considered as having a lognormal distribution as a first order approximation. Application of lognormal distribution to the industrial microbial counts could produce useful information in practice. This study is intended to verift the application method of lognormal idstribution in FMC. The one year's records for microbial counts of frozen dumplings from two companies were obtained, and the statistical analysis was carried out to estimate the frequencies of future events where counts exceeding selected levels and to compare the sanitation level of the two companies. The results showed that this spplication method enable translation of irregular recourds of microbial counts into an useful information such as te actual probalities of outburst of a given level and the quantitative predictions of potential hazards in the processing.

Development of a Measure for the Dance Giftedness (무용영재성 판별도구 개발)

  • Lee, Jin-Hyo;Lee, Jin-Hee
    • The Journal of the Korea Contents Association
    • /
    • v.12 no.3
    • /
    • pp.161-170
    • /
    • 2012
  • Based on the qualitative analysis, 4 factors of dance giftedness were operationally defined and test items were initially developed accordingly. The preliminary test data obtained from 206 dancers was analyzed, using item analysis and a series of reliability analyses. In order to dancer the construct validity, four exploratory factor analyses were conducted for 54 items, resulting in 20 items of 4 factors; physique, dance attitude Expressiveness and creativity, movement ability. A confirmatory factor analysis conducted for 292 dancers to test the goodness-of-fit of 4 factor model revealed a satisfactory level of $x^2$, Q, root mean square residual(RMR), goodness of fit index(GFI), Tucker-Lewis index(TLI), comparative fit index(CFI), root mean square error of approximation(RMSEA). The concurrent and cross validity indices proved the validity of 20 items of 4 factors.

Solution of randomly excited stochastic differential equations with stochastic operator using spectral stochastic finite element method (SSFEM)

  • Hussein, A.;El-Tawil, M.;El-Tahan, W.;Mahmoud, A.A.
    • Structural Engineering and Mechanics
    • /
    • v.28 no.2
    • /
    • pp.129-152
    • /
    • 2008
  • This paper considers the solution of the stochastic differential equations (SDEs) with random operator and/or random excitation using the spectral SFEM. The random system parameters (involved in the operator) and the random excitations are modeled as second order stochastic processes defined only by their means and covariance functions. All random fields dealt with in this paper are continuous and do not have known explicit forms dependent on the spatial dimension. This fact makes the usage of the finite element (FE) analysis be difficult. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used to represent these processes to overcome this difficulty. Then, a spectral approximation for the stochastic response (solution) of the SDE is obtained based on the implementation of the concept of generalized inverse defined by the Neumann expansion. This leads to an explicit expression for the solution process as a multivariate polynomial functional of a set of uncorrelated random variables that enables us to compute the statistical moments of the solution vector. To check the validity of this method, two applications are introduced which are, randomly loaded simply supported reinforced concrete beam and reinforced concrete cantilever beam with random bending rigidity. Finally, a more general application, randomly loaded simply supported reinforced concrete beam with random bending rigidity, is presented to illustrate the method.

Biokinetics of Protein Degrading Clostridium cadaveris and Clostridium sporogenes in Batch and Continuous Mode of Operations

  • Koo, Taewoan;Jannat, Md Abu Hanifa;Hwang, Seokhwan
    • Journal of Microbiology and Biotechnology
    • /
    • v.30 no.4
    • /
    • pp.533-539
    • /
    • 2020
  • A quantitative real-time polymerase chain reaction (QPCR) was applied to estimate biokinetic coefficients of Clostridium cadaveris and Clostridium sporogenes, which utilize protein as carbon source. Experimental data on changes in peptone concentration and 16S rRNA gene copy numbers of C. cadaveris and C. sporogenes were fitted to model. The fourth-order Runge-Kutta approximation with non-linear least squares analysis was employed to solve the ordinary differential equations to estimate biokinetic coefficients. The maximum specific growth rate (μmax), half-saturation concentration (Ks), growth yield (Y), and decay coefficient (Kd) of C. cadaveris and C.sporogenes were 0.73 ± 0.05 and 1.35 ± 0.32 h-1, 6.07 ± 1.52 and 5.67 ± 1.53 g/l, 2.25 ± 0.75 × 1010 and 7.92 ± 3.71 × 109 copies/g, 0.002 ± 0.003 and 0.002 ± 0.001 h-1, respectively. The theoretical specific growth rate of C. sporogenes always exceeded that of C. cadaveris at peptone concentration higher than 3.62 g/l. When the influent peptone concentration was 5.0 g/l, the concentration of C.cadaveris gradually decreased to the steady value of 2.9 × 1010 copies/ml at 4 h Hydraulic retention time (HRT), which indicates a 67.1% reduction of the initial population, but the wash out occurred at HRTs of 1.9 and 3.2 h. The 16S rRNA gene copy numbers of C. sporogenes gradually decreased to steady values ranging from 1.1 × 1010 to 2.9 × 1010 copies/ml. C. sporogenes species was predicted to wash out at an HRT of 1.6 h.

Effects of tsunami waveform on overtopping and inundation on a vertical seawall (직립호안에서 지진해일 파형이 월파와 침수에 미치는 영향)

  • Lee, Woodong;Kim, Jungouk;Park, Jongryul;Hur, Dongsoo
    • Journal of Korea Water Resources Association
    • /
    • v.51 no.8
    • /
    • pp.643-654
    • /
    • 2018
  • In order to generate the stable tsunami in a numerical wave tank, a two-dimensional numerical model, LES-WASS-2D has been introduced the non-reflected wave generation system for various tsunami waveforms. And then, comparing to existing experimental results it is revealed that computed results of the LES-WASS-2D are in good agreement with the experimental results on spatial and temporal tsunami waveforms in the vicinity of a seawall. It is shown that the applied model in this study is applicable to the numerical simulations on tsunami overtopping and inundation. Using the numerical results, the characteristics of overtopping and inundation on a seawall are also discussed with volume ratio of tsunami and relative tsunami height. The wider the tsunami waveform, tsunami overtopping quantity and inundation distances are linearly increased. Therefore, the hydraulic characteristics is highly likely to be underestimated against the real tsunami if the solitary wave of approximation theory is applied for the overtopping/inundation simulations due to a tsunami.

Power Estimation and Optimum Design of a Buoy for the Resonant Type Wave Energy Converter Using Approximation Scheme (근사기법을 활용한 공진형 파력발전 부이의 발전량 추정 및 최적설계)

  • Koh, Hyeok-Jun;Ruy, Won-Sun;Cho, Il-Hyoung
    • Journal of Ocean Engineering and Technology
    • /
    • v.27 no.1
    • /
    • pp.85-92
    • /
    • 2013
  • This paper deals with the resonant type of a WEC (wave energy converter) and the determination method of its geometric parameters which were obtained to construct the robust and optimal structure, respectively. In detail, the optimization problem is formulated with the constraints composed of the response surfaces which stand for the resonance period(heave, pitch) and the meta center height of the buoy. Use of a signal-to-noise ratio calculated from normalized multi-objective results with the weight factor can help to select the robust design level. In order to get the sample data set, the motion responses of the power buoy were analyzed using the BEM (boundary element method)-based commercial code. Also, the optimization result is compared with a robust design for a feasibility study. Finally, the power efficiency of the WEC with the optimum design variables is estimated as the captured wave ratio resulting from absorbed power which mainly related to PTO (power take off) damping. It could be said that the resultant of the WEC design is the economical optimal design which satisfy the given constraints.

Hardware Design of Special-Purpose Arithmetic Unit for 3-Dimensional Graphics Processor (3차원 그래픽프로세서용 특수 목적 연산장치의 하드웨어 설계)

  • Choi, Byeong-Yoon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
    • /
    • 2011.05a
    • /
    • pp.140-142
    • /
    • 2011
  • In this paper, special purpose arithmetic unit for mobile graphics accelerator is designed. The designed processor supports six operations, such as $1/{\chi}$, $\frac{1}{{\sqrt{x}}$, $log_2x$, $2^x$, $sin(x)$, $cos(x)$. The processor adopts 2nd-order polynomial minimax approximation scheme based on IEEE floating point data format to satisfy accuracy conditions and has 5-stage pipeline structure to meet high operational rates. The SFAU processor consists of 23,000 gates and its estimated operating frequency is about 400 Mhz at operating condition of 65nm CMOS technology. Because the processor can execute all operations with 5-stage pipeline scheme, it has about 400 MOPS(million operations per second) execution rate. Thus, it can be applicable to the 3D mobile graphics processors.

  • PDF

Hardware Design of Arccosine Function for Mobile Vector Graphics Processor (모바일 벡터 그래픽 프로세서용 역코사인 함수의 하드웨어 설계)

  • Choi, Byeong-Yoon;Lee, Jong-Hyoung
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.13 no.4
    • /
    • pp.727-736
    • /
    • 2009
  • In this paper, the $arccos(cos^{-1})$ arithmetic unit for mobile graphics accelerator is designed. The mobile vector graphics applications need tight area, execution time, power dissipation, and accuracy constraints compared to desktop PC applications. The designed processor adopts 2nd-order polynomial approximation scheme based on IEEE floating point data format to satisfy speed and accuracy conditions and reduces area via hardware sharing structure. The arccosine processor consists of 15,280 gates and its estimated operating frequency is about 125Mhz at operating condition of $0.35{\mu}m$ CMOS technology. Because the processor can execute arccosine function within 7 clock cycles, it has about 17 MOPS(million arccos operations per second) execution rate and can be applicable to mobile OpenVG processor. And because of its flexible architecture, it can be applicable to the various transcendental functions such as exponential, trigonometric and logarithmic functions via replacement of ROM and minor hardware modification.