• Title/Summary/Keyword: Numerical verification method

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A PRIORI ERROR ESTIMATES FOR THE FINITE ELEMENT APPROXIMATION OF AN OBSTACLE PROBLEM

  • Ryoo, Cheon-Seoung
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.175-181
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    • 2000
  • The purpose of this to measure, with explicit constants as small as possible, a priori error bounds for approximation by picewise polynomials. These constants play an important role in the numerical verification method of solutions for obstacle problems by using finite element methods .

Experimental Verification on Dynamic Responses of a Cantilevered Beam under a Moving Mass with Accelerations (가속을 갖는 이동질량에 의한 외팔보의 동적응답에 관한 실험적 검증)

  • Kim, H.J.;Ryu, B.J.;Kim, H.J.;Yoon, C.S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.307-310
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    • 2004
  • The paper presents the numerical and experimental results for the dynamic response vibration of a cantilevered beam subjected to a moving mass with variable speeds. Governing equations of motion under a moving mass were derived by Galerkin's mode summation method taking into account the effects of all forces due to moving mass, and the numerical results were calculated by Runge-Kutta integration method. The effects of the speed, acceleration and the magnitude of the moving mass on the response of the beam are fully investigated. In order to verify numerical results, some experiments were conducted, and the numerical results have a little difference with the experimental ones.

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Reliability Verification of Numerical Prediction Method on Pile Behaviour Characteristics using Field Static Loading Test (현장정재하시험을 이용한 말뚝 거동특성 수치해석 예측기법의 신뢰성 검증)

  • Nam, Hosung;Baek, Seungcheol
    • Journal of the Korean GEO-environmental Society
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    • v.18 no.9
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    • pp.11-18
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    • 2017
  • Numerical analysis method for prediction of pile behaviour characteristics has widely been used in detail design process before construction because field static loading test requires high cost. However, the reliability verification of numerical analysis of result is not permitted compare with field test. In this study, to verify the numerical analysis results, pile behaviour prediction was compared with field static loading test results. For exact analysis of interaction between pile and ground, soil investigation and in-situ test such as boring, SPT and bore-hole shear test were performed before pile static loading test. During the static loading test, pile behaviour characteristics were analyzed under every loading condition. After static pile loading test, numerical analysis was carried out under same condition with static pile loading test. In the numerical analysis, to apply same loading condition with each loading condition in the field test and to compare with between the results of numerical analysis, the field test results for reliability were verified with the results of numerical analysis.

DEVELOPMENT AND PRELIMINARY ASSESSMENT OF A THREE-DIMENSIONAL THERMAL HYDRAULICS CODE, CUPID

  • Jeong, Jae-Jun;Yoon, Han-Young;Park, Ik-Kyu;Cho, Hyoung-Kyu;Lee, Hee-Dong
    • Nuclear Engineering and Technology
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    • v.42 no.3
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    • pp.279-296
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    • 2010
  • For the analysis of transient two-phase flows in nuclear reactor components, a three-dimensional thermal hydraulics code, named CUPID, has been developed. The CUPID code adopts a two-fluid, three-field model for two-phase flows, and the governing equations were solved over unstructured grids, which are very useful for the analysis of flows in complicated geometries. To obtain numerical solutions, the semi-implicit numerical method for the REALP5 code was modified for an application to unstructured grids, and it has been further improved for enhanced accuracy and fast running. For the verification of the CUPID code, a set of conceptual problems and experiments were simulated. This paper presents the flow model, the numerical solution method, and the results of the preliminary assessment.

Numerical Method for Calculating Fourier Coefficients and Properties of Water Waves with Shear Current and Vorticity in Finite Depth

  • JangRyong Shin
    • Journal of Ocean Engineering and Technology
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    • v.37 no.6
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    • pp.256-265
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    • 2023
  • Many numerical methods have been developed since 1961, but unresolved issues remain. This study developed a numerical method to address these issues and determine the coefficients and properties of rotational waves with a shear current in a finite water depth. The number of unknown constants was reduced significantly by introducing a wavelength-independent coordinate system. The reference depth was calculated independently using the shooting method. Therefore, there was no need for partial derivatives with respect to the wavelength and the reference depth, which simplified the numerical formulation. This method had less than half of the unknown constants of the other method because Newton's method only determines the coefficients. The breaking limit was calculated for verification, and the result agreed with the Miche formula. The water particle velocities were calculated, and the results were consistent with the experimental data. Dispersion relations were calculated, and the results are consistent with other numerical findings. The convergence of this method was examined. Although the required series order was reduced significantly, the total error was smaller, with a faster convergence speed.

Numerical estimation of errors in drop angle during drop tests of IP-Type metallic transport containers for radioactive materials

  • Lim, Jongmin;Yang, Yun Young;Lee, Ju-chan
    • Nuclear Engineering and Technology
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    • v.53 no.6
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    • pp.1878-1886
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    • 2021
  • For industrial package (IP)-type transport containers for radioactive materials, a free drop test should be conducted under regulatory conditions. Owing to various uncertainties observed during the drop test, errors in drop angles inevitably occur. In IP-type metal transport containers in which the container directly impacts onto a rigid target without any shock absorbing materials, the error in the drop angle due to a slight misalignment makes a significant difference from the ideal drop. In particular, in a vertical drop, the error in the drop angle causes a strong secondary impact. In this paper, a numerical method is proposed to estimate the error in the drop angle occurring during the test. To determine this error, an optimization method accompanying a computational drop analysis is proposed, and a surrogate model is introduced to ensure calculation efficiency. Effectiveness of the proposed method is validated by performing the verification and comparison between the test and the analysis applied with the drop angle error.

Formulation and Verification on Ritz Method for In-Cabinet Response Spectrum (캐비닛내부응답스펙트럼 산정을 위한 리츠방법의 정식화 및 단순예제를 통한 검증)

  • Kim, Ki Hyun;Hong, Kee-Jeung;Cho, Sung Gook;Park, Woong Ki
    • Journal of the Earthquake Engineering Society of Korea
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    • v.23 no.5
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    • pp.279-288
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    • 2019
  • Safety-related cabinets and their electrical parts, such as relays and switches in nuclear power plants, should maintain continuous functioning, as well as structural safety according to the nuclear regulatory guidelines. Generally, an electrical part is qualified if its functioning is maintained without abnormality during excitement by motion compatible with the test response spectrum, which is larger than its in-cabinet response spectrum (ICRS). ICRS can be determined by shake-table test or dynamic analysis. Since existing cabinets in use can hardly be stopped and moved, dynamic analysis is preferred over shake-table test in determining ICRS. The simple method, suggested by the Electric Power Research Institute (EPRI) to determine ICRS, yields conservative or non-conservative results from time to time. In order to determine that the ICRS is better than EPRI method in a simple way, Ritz method considering global and local plate behaviors was suggested by Gupta et al. In this paper, the Ritz method is modified in order to consider the rocking and frame behaviors simultaneously, and it is applied to a simple numerical example for verification. ICRS is determined by Ritz method and compared with the results by finite element method (FEM). Based on this numerical example, recommendations for using Ritz method are suggested.

Chip Load Control Using a NC Verification Model Based on Z-Map (Z-map 기반 가공 검증모델을 이용한 칩부하 제어기)

  • Baek Dae Kyun;Ko Tae Jo;Park Jung Whan;Kim Hee Sool
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.4
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    • pp.68-75
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    • 2005
  • This paper presents a new method for the optimization of feed rate in sculptured surface machining. A NC verification model based on Z-map was utilized to obtain chip load according to feed per tooth. This optimization method can regenerate a new NC program with respect to the commanded cutting conditions and the NC program that was generated from CAM system. The regenerated NC program has not only the same data of the ex-NC program but also the updated feed rate in every block. The new NC data can reduce the cutting time and produce precision products with almost even chip load to the feed per tooth. This method can also reduce tool chipping and make constant tool wear.

Spatial and temporal distribution of driving rain on a low-rise building

  • Blocken, Bert;Carmeliet, Jan
    • Wind and Structures
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    • v.5 no.5
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    • pp.441-462
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    • 2002
  • This paper presents a practical numerical method to determine both the spatial and temporal distribution of driving rain on buildings. It is based on an existing numerical simulation technique and uses the building geometry and climatic data at the building site as input. The method is applied to determine the 3D spatial and temporal distribution of wind-driven rain on the facade a low-rise building of complex geometry. Distinct wetting patterns are found. The important causes giving rise to these particular patterns are identified : (1) sweeping of raindrops towards vertical building edges, (2) sweeping of raindrops towards top edges, (3) shelter effect by various roof overhang configurations. The comparison of the numerical results with full-scale measurements in both space and time for a number of on site recorded rain events shows the numerical method to yield accurate results.

Anti-icing Method of Heated Walkway in Ice Class Ships: Efficiency Verification of CNT-based Surface Heating Element Method Through Numerical Analysis

  • Woo-Jin Park;Dong-Su Park;Mun-Beom Shin;Young-Kyo Seo
    • Journal of Ocean Engineering and Technology
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    • v.37 no.5
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    • pp.215-224
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    • 2023
  • While melting glaciers due to global warming have facilitated the development of polar routes, Arctic vessels require reliable anti-icing methods to prevent hull icing. Currently, the existing anti-icing method, i.e., the heating coil method, has disadvantages, such as disconnection and power inefficiency. Therefore, a carbon nanotube-based surface heating element method was developed to address these limitations. In this study, the numerical analysis of the surface heating element method was performed using ANSYS. The numerical analysis included conjugate heat transfer and computational fluid dynamics to consider the conduction solids and the effects of wind speed and temperature in cold environments. The numerical analysis method of the surface heating element method was validated by comparing the experimental results of the heating coil method with the numerical analysis results (under the -30 ℃ conditions). The surface heating element method demonstrated significantly higher efficiency, ranging from 56.65-80.17%, depending on the conditions compared to the heating coil method. Moreover, even under extreme environmental conditions (-45 ℃), the surface heating element method satisfied anti-icing requirements. The surface heating element method is more efficient and economical than the heating coil method. However, proper heat flux calculation for environmental conditions is required to prevent excessive design.