• Title/Summary/Keyword: Numerical technique

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A Numerical Study on Patterning Process Including a Self-Alignment Technique of a Microdroplet (미세액적의 자기정렬 기법을 포함한 패터닝 공법에 대한 해석적인 연구)

  • Suh, Young-Ho;Son, Gi-Hun
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.33 no.1
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    • pp.28-38
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    • 2009
  • Numerical simulation is performed for microdroplet deposition on a pre-patterned micro-structure. The liquid-air interface is tracked by a level-set method, which is improved by incorporating a sharp-interface modeling technique for accurately enforcing the matching conditions at the liquid-gas interface and the no-slip condition at the fluid-solid interface. The method is further extended to treat the contact angle condition at an immersed solid surface. The present computation of a patterning process using microdroplet ejection demonstrates that the multiphase characteristics between the liquid-gas-solid phases can be used to improve the patterning accuracy.

FRACTIONAL POLYNOMIAL METHOD FOR SOLVING FRACTIONAL ORDER POPULATION GROWTH MODEL

  • Krishnarajulu, Krishnaveni;Krithivasan, Kannan;Sevugan, Raja Balachandar
    • Communications of the Korean Mathematical Society
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    • v.31 no.4
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    • pp.869-878
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    • 2016
  • This paper presents an ecient fractional shifted Legendre polynomial method to solve the fractional Volterra's model for population growth model. The fractional derivatives are described based on the Caputo sense by using Riemann-Liouville fractional integral operator. The theoretical analysis, such as convergence analysis and error bound for the proposed technique has been demonstrated. In applications, the reliability of the technique is demonstrated by the error function based on the accuracy of the approximate solution. The numerical applications have provided the eciency of the method with dierent coecients of the population growth model. Finally, the obtained results reveal that the proposed technique is very convenient and quite accurate to such considered problems.

Simple Estimation of Sound Source Directivity in Diffused Acoustic Field: Numerical Simulation (확산음향장에서의 음원 지향성 간이추정: 수치시뮬레이션)

  • Kim, Kookhyun
    • Journal of Ocean Engineering and Technology
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    • v.33 no.5
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    • pp.421-426
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    • 2019
  • The directivity of an underwater sound source should be measured in an acoustically open field such as a calm sea or lake, or an anechoic water tank facility. However, technical difficulties arise when practically implementing this in open fields. Signal processing-based techniques such as a sound intensity method and near-field acoustic holography have been adopted to overcome the problem, but these are inefficient in terms of acquisition and maintenance costs. This study established a simple directivity estimation technique with data acquisition, filtering, and analysis tools. A numerical simulation based on an acoustic radiosity method showed that the technique is practicable for sound source directivity estimation in a diffused reverberant acoustic field like a reverberant water tank.

Response of angle-ply laminated cylindrical shells with surface-bonded piezoelectric layers

  • Wang, Haojie;Yan, Wei;Li, Chunyang
    • Structural Engineering and Mechanics
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    • v.76 no.5
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    • pp.599-611
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    • 2020
  • A state-space method is developed to investigate the time-dependent behaviors of an angle-ply cylindrical shell in cylindrical bending with surface-bonded piezoelectric layers. Both the interfacial diffusion and sliding are considered to describe the properties of the imperfect interfaces. Particularly, a matrix reduction technique is adopted to establish the transfer relations between the elastic and piezoelectric layers of the laminated shell. Very different from our previous paper, in which an approximate numerical technique, i.e. power series expansion method, is used to deal with the time-dependent problems, the exact solutions are derived in the present analysis based on the piezoelasticity equations without any assumptions. Numerical results are finally obtained and the effects of imperfect interfaces on the electro-mechanical responses of the laminated shell are discussed.

Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces

  • Shamshad, Husain;Uqba, Rafat
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.673-687
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    • 2022
  • In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.

Numerical Simulation for Currents and Sedimentation due to Tsunami

  • Imamura, Fumihiko
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 1992.08a
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    • pp.157-157
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    • 1992
  • Accuracy of numerical simulations of tsunami has a often been discussed in terms of the final run-up heights and inundated areas. The present technique of simulation is said to yield accurate results within an error of 15 % as long as run-up height concerns.(omitted)

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Comparative studies on numerical optimal design techniques (수치해석에 의한 최적화 설계 기법의 비교 연구)

  • 조선휘;박종근
    • Journal of the korean Society of Automotive Engineers
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    • v.4 no.2
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    • pp.79-85
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    • 1982
  • Computer codes on two numerical optimization methods-Sequentially Unconstrained Minimization Technique (SUMT) and Gradient Projection Method-are constructed and tested with several test problems. Design formulation of tension - compression coil spring is set up and the solution is obtained. Consequently, the feature, the advantage and the limitation of these methods, made clear through the tests, are discussed.

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Numerical Investigation of an Unconditionally Stable Compact 2D FDTD Based on the Alternating-Direction Implicit Scheme

  • Saehoon Ju;Jeongnam Cheon;Kim, Hyung-Hoon;Kim, Hyeongdong
    • Journal of electromagnetic engineering and science
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    • v.3 no.1
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    • pp.39-44
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    • 2003
  • An unconditionally stable compact 2D Alternating-Direction Implicit (ADI) FDTD method for calculating dispersion characteristics of waveguide structures is proposed. The numerical stability and numerical dispersion relation of the proposed method are also presented and discussed. Numerical wavelengths for the dominant and higher order modes in a hollow waveguide are obtained from numerical simulations and compared with those from the analytical dispersion relation. The numerical results show that the proposed scheme has the potential to successfully analyze a class of waveguides having locally fine geometry with reduced numerical costs.

In-Plane Buckling of Prime and Quadratic Parabolic Arches with Fixed Ends (양단고정 Prime과 Quadratic 포물선 아치의 면내좌굴에 관한 연구)

  • 이병구;김종만
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.29 no.3
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    • pp.153-162
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    • 1987
  • A numerical procedure for the analysis of slender arch buckling problems for uniform dead weight is presented in this paper. Such loading changes in the arch profile. The problem is nonlinear. The numerical procedure is limited to an inextensible analysis and to elastic behavior. Based upon a numerical integration technique developed by Newmark for straight beams, a large deflection bending analysis is combined with small deflection buckling routines to formulate the numerical procedure. The numerical procedure is composed of a combination of the numerical integration and successive approximations procedure. The results obtained in this study are as follows : 1.The critical loads obtained in this study coincide with the results by Austin so that the algorithm developed in this study is verified. 2.The numerical results are converged with good precision when the half arch is divided into 10 segments in both Prime and Quadratic section. 3.The critical loads are decreased as the ratios of rise versus span are increased. 4.The critical loads are increased as the moments of inertia at the ends are increased. 5.The critical loads of Prime section are larger than that of Quadratic section under the same profile conditions.

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Experimental and Numerical Study on the Air-assist Atomizer Spray Droplets (2유체 분무 액적의 거동에 관한 실험 및 수치 해석적 연구)

  • Kim, D.I.;Oh, S.H.
    • Journal of ILASS-Korea
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    • v.3 no.4
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    • pp.65-76
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    • 1998
  • An experimental and numerical study of a spray flow is performed to investigate the spray characteristics using an air-assisted atomizer. A Partical Dynamic Analyzer(PDA) is used to measure SMD, dmp velocity, and drop number density whose the initial conditions have considerable effect on the numerical results. The measured experimental data have been used to asses the accuracy of model predictions. Numerical investigation is made with the Eulerian - Lagrangian formulism. Turbulent dispersion effects using a Monte-Carlo method, turbulent modulation effect and entrainment of air are also numerically simulated. Results show that the numerical predictions of SSF(Stochastic Separated Flow) analysis yielded reasonable agreement with the experimental data. However, the model calculations for small drops produced the inconsistent numerical results due to the effect of surrounding air entrainment.

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