• Title/Summary/Keyword: Numerical Study

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STUDY ON DECOULED PROJECTION METHOD FOR CAHN-HILLIARD EQUATION

  • GYEONGGYU LEE;SEUNGGYU LEE
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.27 no.4
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    • pp.272-280
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    • 2023
  • We study the numerical analysis for the Cahn-Hilliard (CH) equation using the decoupled projection (DP) method. The CH equation is a fourth order nonlinear partial differential equation that is hard to solve. Therefore, various of numerical schemes have been proposed to solve the CH equation. To verify the relation of each existing scheme for the CH equation, we consider the DP method for linear convex splitting schemes. We present the numerical experiments to demonstrate our analysis. Throughout this study, it is expected to construct a novel numerical scheme using the relation with existing numerical schemes.

Methods of Reconstructing Numerical Analysis Program for Utilizing the Internet (인터넷을 활용하기 위한 수치해석 프로그램의 재구성 방법)

  • Song Heeyong;Koak Youngkyun;Ko Sungho
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.63-66
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    • 2002
  • The present study introduces some useful methods of implementing the Internet numerical analysis program with existing numerical codes for utilizing the Internet environment. The Internet gives developers good environment for development and release. Several methods were suggested, and some of them were implemented with an existing numerical code named SOLA-VOF, a computational fluid dynamics program to solve two-dimensional transient flow problems with free surface. This was reconstructed with Java technologies and compared with the original one. Java technologies have been applied to development of Internet applications for a long time. The objective of this work is to contrive methods of implementing Internet numerical analysis program with existing numerical codes and confirm the possibility of them. Methods using the applet-servlet communication were suggested and implemented. In addition, the Java web services with XML was introduced, which makes possible the cooperation of components. Although the concept has been suggested and developed for business applications, it can also be used for engineering softwares. Therefore, this study will be a preparation for numerical analysis to participate in engineering web services.

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A parametric study on the performance of heat pump using standing column well(SCW) (스탠딩컬럼웰(SCW)을 적용한 지열히트펌프의 성능에 대한 매개변수 연구)

  • Chang, Jae-Hoon;Park, Du-Hee
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.625-630
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    • 2010
  • Parametric study was performed using the SCW numerical model for evaluating the performance of the SCW. The five ground related parameters, which are porosity, hydraulic conductivity, thermal conductivity, specific heat, geothermal gradient, and five SCW design parameters, which are pumping rate, well depth well diameter, dip tube diameter, bleeding rate, were used in the study. Numerical simulations were performed for short-term (24-hour) simulation. The study results indicate that the parameters that have important influence on the performance of SCW were hydraulic conductivity, thermal conductivity, geothermal gradient, pumping rate, and bleeding rate. Overall, this study showed that various factors had a cumulative influence on the performance of the SCW, and a numerical simulation can be used to accurately predict the performance of the SCW.

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A Study on Effects of Failure Behaviour of Tunnel Using A Numerical Analysis (수지해석에 의한 터널의 파괴거동에 미지는 영향분석)

  • 김영민
    • Proceedings of the Korean Geotechical Society Conference
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    • 1999.03a
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    • pp.309-314
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    • 1999
  • In this paper, an application of finite element procedure fur tunnel failure analysis has been studied. The numerical model is applied to the simulation of a series of plane strain laboratory tests on the small scale model of a shallow tunnel. By comparing experimental and numerical results some conclusions are drawn on the effectiveness of the numerical approach. The findings from these numerical experiments show relative differences in the pattern of failure behaviour for shallow tunnels.

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Numerical Analysis about Optimal Conditions of GDICI Engine Operation using Intake Preheating (흡기가열을 이용한 가솔린압축착화 엔진의 최적구동조건에 관한 수치적 연구)

  • Choi, Mingi;Cha, Junepyo;Kwon, Seokjoo;Park, Sungwook
    • 한국연소학회:학술대회논문집
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    • 2012.04a
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    • pp.105-106
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    • 2012
  • This study is numerical analysis about optimal conditions of GDICI (gasoline direct injection compression ignition) engine operation using intake preheating. Numerical modeling was performed by using the KIVA-3V Release2 code integrated Chemkin chemistry solver II. For validation of numerical model, experiments were performed on a single-cylinder engine. Throughout the numerical simulations under variable conditions, the ranges of optimal conditions were found.

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A Study on Numerical Analysis of Equation of Motion for Constrained Systems (구속된 시스템 운동방정식의 수치해석에 관한 연구)

  • 은희창;정헌수
    • Journal of KSNVE
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    • v.7 no.5
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    • pp.773-780
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    • 1997
  • Using Generalized Inverse Method presented by Udwadia and Kalaba in 1992, we can obtain equations to exactly describe the motion of constrained systems. When the differential equations are numerically integrated by any numerical integration scheme, the numerical results are generally found to veer away from satisfying constraint equations. Thus, this paper deals with the numerical integration of the differential equations describing constrained systems. Based on Baumgarte method, we propose numerical methods for reducing the errors in the satisfaction of the constraints.

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A Study on the Fracture Behavior of Tooth Interfacial Layer, DEJ (Dental Enamel Junction) (치아 계면 층 DEJ(Dental Enamel Junction)의 파괴 거동에 관한 수치해석적 연구)

  • Mishra, Dhaneshwar;Yoo, Seung-Hyun;Jeong, Ung-Rak
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.20 no.3
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    • pp.284-291
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    • 2011
  • Numerical experiments on biological interfacial layer, DEJ by finite element software ABAQUS have been conducted to study its fracture behavior including crack bridging / arresting characteristics in the model. Crack growth simulation has been carried out by numerical tool, XFEM, devoted to study cracks and discontinuities. The fracture toughness of DEJ has been estimated before and after crack bridging. The implications of bridging in numerical study of fracture behavior of DEJ-like biological interface have been discussed. It has been observed that the results provided by the numerical studies without proper accommodation of bridging phenomenon can mislead. This study can be helpful for understanding the DEJ-like biological interface in terms of its fracture toughness, an important material characteristics. This property of the material is an important measure that has to be taken care during design and manufacturing processes.

Effectiveness of diagonal shear reinforcement on reinforced concrete short beams

  • Ozturk, Hakan;Caglar, Naci;Demir, Aydin
    • Earthquakes and Structures
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    • v.17 no.5
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    • pp.501-510
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    • 2019
  • In the study, an experimental and numerical study is performed to investigate the efficiency of diagonal shear reinforcement (DSR) on reinforced concrete (RC) short beams. For this purpose, 7 RC short beam specimens were tested under a 4-point loading, and a numerical study is conducted by using finite element method. Additionally, the efficiency of addition of DSR to specimens is observed in the experimental study together with the increase in stirrup spacing. Analysis results are compared in terms of load-displacement behavior and failure modes. As a result of the study, a significant improvement both in shear and displacement capacities of the RC short beams are achieved along with addition of DSR in short beams. Moreover, it is deduced from the numerical results that increasing both the diameter and yield strength of DSR makes a significant contribution to the shear capacity and ductility of shear critical RC members.

Numerical discrepancy between serial and MPI parallel computations

  • Lee, Sang Bong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.5
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    • pp.434-441
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    • 2016
  • Numerical simulations of 1D Burgers equation and 2D sloshing problem were carried out to study numerical discrepancy between serial and parallel computations. The numerical domain was decomposed into 2 and 4 subdomains for parallel computations with message passing interface. The numerical solution of Burgers equation disclosed that fully explicit boundary conditions used on subdomains of parallel computation was responsible for the numerical discrepancy of transient solution between serial and parallel computations. Two dimensional sloshing problems in a rectangular domain were solved using OpenFOAM. After a lapse of initial transient time sloshing patterns of water were significantly different in serial and parallel computations although the same numerical conditions were given. Based on the histograms of pressure measured at two points near the wall the statistical characteristics of numerical solution was not affected by the number of subdomains as much as the transient solution was dependent on the number of subdomains.

Numerical study on the influence of mesomechanical properties on macroscopic fracture of concrete

  • Zhu, W.C.;Tang, C.A.;Wang, S.Y.
    • Structural Engineering and Mechanics
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    • v.19 no.5
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    • pp.519-533
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    • 2005
  • The numerical simulations on the influence of mesoscopic structures on the macroscopic strength and fracture characteristics are carried out based on that the concrete is assumed to be a three-phase composite composed of matrix (mortar), aggregate and bond between them by using a numerical code named MFPA. The finite element program is employed as the basic stress analysis tool when the elastic damage mechanics is used to describe the constitutive law of meso-level element and the maximum tensile strain criterion and Mohr-Coulomb criterion are utilized as damage threshold. It can be found from the numerical results that the bond between matrix and aggregate has a significant effect on the macroscopic mechanical performance of concrete.