• Title/Summary/Keyword: numerical errors

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Multidimensional numerical simulation of flows in the cylinder of a model engine (모델엔진 실린더내의 유동에 대한 다차원 수치해석)

  • 정진은;김응서
    • Journal of the korean Society of Automotive Engineers
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    • v.11 no.3
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    • pp.29-36
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    • 1989
  • A multidimensional numerical simulation for flows in an engine with axisymmetric geometry was performed. Three kinds of differencing schemes, namely, skew upwind differencing scheme (SUDS), interpolated upwind differencing scheme (IUDS), upwind differencing scheme (UDS), are used in a comparative study. Simultaneously, the effects of the artificial dampings and the grids on numerical results are estimated. Compared with the measurements, the calculations with SUDS and proper artificial damping show very similar qualitative tendency with observed results. But there are some discrepancies due to numerical errors and unclear boundary conditions.

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Statistical Reliability Analysis of Numerical Simulation for Prediction of Model-Ship Resistance (선체 저항에 대한 수치 해석의 통계적 신뢰도 분석)

  • Lee, Sang Bong;Lee, Youn Mo
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.4
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    • pp.321-327
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    • 2014
  • A wide scope of numerical simulations was performed to predict model-ship resistances by using STAR-CCM+ and OpenFOAM. The numerical results were compared with experimental measurements in towing tank to analyze statistical reliability of the present simulations. Based on the normal distribution of resistance errors in 113 cases of container carriers, tankers and very large crude-oil carriers, the confidence intervals of numerical error were estimated as [-2.64%,+2.32%] and [-1.82%, +1.87%] with 95% confidence in STAR-CCM+ and OpenFOAM, respectively. The resistance errors of liquefied natural gas carriers with single- and twin-skeg were confident in the ranges of [-2.51%,+2.64%] and [-2.29%, +1.46%], respectively. The grid uncertainty of resistance coefficients for KCS was also quantitatively analyzed by using a grid verification procedure. The grid uncertainty of OpenFOAM (5.1%) was larger than 4.4% uncertainty of STAR-CCM+ although OpenFOAM provided statistically more confident results than those of STAR-CCM+. It means that a grid system verified under a specific condition does not automatically lead to statistical reliability in general cases.

AN APPROPRIATE INFLOW MODEL FOR SIMULTANEOUS DISSOLUTION AND DEGRADATION

  • Lee, Ju-Hyun;Kang, Sung-Kwon;Choi, Hoo-Kyun
    • Honam Mathematical Journal
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    • v.31 no.1
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    • pp.109-124
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    • 2009
  • Based on the observed data for Clarithromycin released, three commonly used inflow models: the power, the exponential, and the logarithmic models are considered. Among them, the power model is used most in practice for simplicity. Using the numerical parameter estimation techniques, the parameters appeared in the model equations are estimated. Through the numerical estimation results using the several experimental data sets, the exponential model turns out to be best among the three models. More specifically, the sum of squares of absolute errors and the sum of squares of relative errors for the exponential model are reduced by 80-95 % for the experimental data sets and 60-90 % for the noise added data sets compared with those for the power and logarithmic models. A typical experimental data set is used in this paper to show the estimation method and its numerical results. The proposed numerical method and its algorithm are designed for estimating the parameters appeared in the model differential equations for which the exact form of the solution is unknown in general. The methodology developed can be applied to more general cases such as the nonlinear ordinary differential equations or the partial differential equations.

Optimal Production Planning for Remanufacturing with Quality Classification Errors under Uncertainty in Quality of Used Products

  • Iwao, Masatoshi;Kusukawa, Etsuko
    • Industrial Engineering and Management Systems
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    • v.13 no.2
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    • pp.231-249
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    • 2014
  • This paper discusses a green supply chain with a manufacturer and a collection trader, and it proposes an optimal production planning for remanufacturing of parts in used products with quality classification errors made by the collection trader. When a manufacturer accepts an order for parts from a retailer and procures used products from a collection trader, the collection trader might have some quality classification errors due to the lack of equipment or expert knowledge regarding quality classification. After procurement of used products, the manufacturer inspects if there are any classification errors. If errors are detected, the manufacturer reclassifies the misclassified (overestimated) used products at a cost. Accordingly, the manufacturer decides to remanufacture from the higher-quality used products based on a remanufacturing ratio or produce parts from new materials. This paper develops a mathematical model to find how quality classification errors affect the optimal decisions for a lower limit of procurement quality of used products and a remanufacturing ratio under the lower limit and the expected profit of the manufacturer. Numerical analysis investigates how quality of used products, the reclassification cost and the remanufacturing cost of used products affect the optimal production planning and the expected profit of a manufacturer.

Interpolation of GPS Receiver Clock Errors Using Least-Squares Collocation (Least-Squares Collocation을 이용한 GPS 수신기 시계오차 보간)

  • Hong, Chang-Ki;Han, Soohee
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.36 no.6
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    • pp.621-628
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    • 2018
  • More than four visible GPS (Global Positioning System) satellites are required to obtain absolute positioning. However, it is not easy to satisfy this condition when a rover is in such unfavorable condition as an urban area. As a consequence, clock-aided positioning has been used as an alternative method especially when the number of visible satellites is three providing that receive clock error information is available. In this study, LSC (Least-Squares Collocation) method is proposed to interpolate clock errors for clock-aided positioning after analyzing the characteristics of receiver clock errors. Numerical tests are performed by using GPS data collected at one of Korean CORS (Continuously Operating Reference Station) and a nearby GPS station. The receiver clock errors are obtained through the DGPS (Differential GPS) positioning technique and segmentation procedures are applied for efficient interpolation. Then, LSC is applied to predicted clock error at epoch which clock information is not available. The numerical test results are analyzed by examining the differences between the original and interpolated clock errors. The mean and standard deviation of the residuals are 0.24m and 0.49m, respectively. Therefore, it can be concluded that sufficient accuracy can be obtained by using the proposed method in this study.

A New Hybrid Method for Flow-Dominated Transport

  • Lee, Jung-Lyul
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1997.10a
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    • pp.110-115
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    • 1997
  • Recently, since one of the most important societal problems facing us today is the growing incidence of the contamination of coastal sea from variety of sources, several distinct numerical improvements have been made and applying the transport models to flow-dominated transport area. Application of Eulerian numerical models to the solution of sharp-front problems often results in oscillations, phase errors, peak depression, and/or numerical dispersion, unless very fine temporal and spatial steps are adopted. (omitted)

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SOME STRONG CONVERGENCE RESULTS OF RANDOM ITERATIVE ALGORITHMS WITH ERRORS IN BANACH SPACES

  • Chugh, Renu;Kumar, Vivek;Narwal, Satish
    • Communications of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.147-161
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    • 2016
  • In this paper, we study the strong convergence and stability of a new two step random iterative scheme with errors for accretive Lipschitzian mapping in real Banach spaces. The new iterative scheme is more acceptable because of much better convergence rate and less restrictions on parameters as compared to random Ishikawa iterative scheme with errors. We support our analytic proofs by providing numerical examples. Applications of random iterative schemes with errors to variational inequality are also given. Our results improve and establish random generalization of results obtained by Chang [4], Zhang [31] and many others.

Performance Analysis of Checkpointing and Dual Modular Redundancy for Fault Tolerance of Real-Time Control System (실시간 제어 시스템의 결함 극복을 위한 이중화 구조와 체크포인팅 기법의 성능 분석)

  • Ryu, Sang-Moon
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.4
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    • pp.376-380
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    • 2008
  • This paper deals with a performance analysis of real-time control systems, which engages DMR(dual modular redundancy) to detect transient errors and checkpointing technique to tolerate transient errors. Transient errors are caused by transient faults and the most significant type of errors in reliable computer systems. Transient faults are assumed to occur according to a Poisson process and to be detected by a dual modular redundant structure. In addition, an equidistant checkpointing strategy is considered. The probability of the successful task completion in a real-time control system where periodic checkpointing operations are performed during the execution of a real-time control task is derived. Numerical examples show how checkpoiniting scheme influences the probability of task completion. In addition, the result of the analysis is compared with the simulation result.

Errors and applicabilities of cylindrical acoustic holography (원통면 음향 홀로그래피를 이용한 음장예측의 오차 해석 및 적용 방법)

  • 김시문;권휴상;김양한
    • Journal of KSNVE
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    • v.5 no.1
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    • pp.37-48
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    • 1995
  • The prediction of sound pressure using acoustic holography has been recognized as a useful tool for the visualization of sound field. Cylindrical acoustic holography amongst acoustic holographic methods planar, spherical, and cylindrical ones-has a wide range of application since its rather simple construction and easy implementation for the sources. To utilize the propery of cylindrical holographic method, estimation errors associated with holographic parameters such as aperture size and sampling space must be envisaged. In this these errors have been studied by numerical simulation and the relation between the errors and the spectrum in wavenumber domain is described. The results are also confirmed by simple experiments.

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MODIFIED POSTERIOR TIME-STEP ADJUSTMENT TECHNIQUE FOR MDOF SYSTEM IN SUBSTRUCTURING PSEUDODYNAMIC TEST (부분구조 유사동적법에 있어 다자유도 시스템에 대한 수정 시간증분 조정기법)

  • 이원호;강정호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.473-480
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    • 1998
  • The substructuring pseudodynamic test is a hybrid testing method consisting of a numerical simulation of the earthquake response of an analytical model and a loading test of a specimen. The substructuring pseudodynamic testing technique has been applied to various seismic experiments since it has advantages over the shaking table test to study dynamic behaviors of relatively large scale structures. However, experimental errors are inevitable in substructuring pseudodynamic testing. Some of these errors can be monitored during the test, but, due to limitations in control system, they cannot be eliminated. For example, one cannot control exactly the displacements that are actually imposed on the structures at each time step. This paper focuses on a technique to minimize the cumulative effect of such control errors for MDOF system. For this purpose, the modified posterior adjustment of the time increment from a target value $\Delta$t$_{n}$ to an adjusted value is performed to minimize the effect of the control errors for MDOF system.for MDOF system.

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