• 제목/요약/키워드: numerical comparisons

검색결과 689건 처리시간 0.024초

Generalized photo-thermal interactions under variable thermal conductivity in a semi-conducting material

  • Aatef D. Hobiny;Ibrahim A. Abbas;C Alaa A. El-Bary
    • Steel and Composite Structures
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    • 제48권6호
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    • pp.641-648
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    • 2023
  • In this article, we explore the issue concerning semiconductors half-space comprised of materials with varying thermal conductivity. The problem is within the framework of the generalized thermoelastic model under one thermal relaxation time. The half-boundary space's plane is considered to be traction free and is subjected to a thermal shock. The material is supposed to have a temperature-dependent thermal conductivity. The numerical solutions to the problem are achieved using the finite element approach. To find the analytical solution to the linear problem, the eigenvalue approach is used with the Laplace transform. Neglecting the new parameter allows for comparisons between numerical findings and analytical solutions. This facilitates an examination of the physical quantities in the numerical solutions, ensuring the accuracy of the proposed approach.

수치계산을 통한 방어진 방파제 주위의 유동장 해석 (Flow Analysis around the Bang-o-Jin Breakwater by Numerical Simulation)

  • 곽승현;박명규
    • 한국항만학회지
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    • 제10권1호
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    • pp.63-74
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    • 1996
  • The flow analysis around the Bang-o-jin breakwater was carried out by the numerical simulation based on the package program NISA Ⅱ. The averaged Navier-Stokes equations are changed to a weak formulation, which is an application of finite element method. To get a better circulation of sea-water current, various types of breakwater modification were numerically tried for the purpose of comparisons. According to the numerical results, it proved to be very difficult to have the seawater circulate in every corner inside the breakwater. However, some cases give the promising feasibility provided that the waste water disposal plant should be additionally made.

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ANALYTICAL AND NUMERICAL SOLUTIONS OF A CLASS OF GENERALISED LANE-EMDEN EQUATIONS

  • RICHARD OLU, AWONUSIKA;PETER OLUWAFEMI, OLATUNJI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제26권4호
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    • pp.185-223
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    • 2022
  • The classical equation of Jonathan Homer Lane and Robert Emden, a nonlinear second-order ordinary differential equation, models the isothermal spherical clouded gases under the influence of the mutual attractive interaction between the gases' molecules. In this paper, the Adomian decomposition method (ADM) is presented to obtain highly accurate and reliable analytical solutions of a class of generalised Lane-Emden equations with strong nonlinearities. The nonlinear term f(y(x)) of the proposed problem is given by the integer powers of a continuous real-valued function h(y(x)), that is, f(y(x)) = hm(y(x)), for integer m ≥ 0, real x > 0. In the end, numerical comparisons are presented between the analytical results obtained using the ADM and numerical solutions using the eighth-order nested second derivative two-step Runge-Kutta method (NSDTSRKM) to illustrate the reliability, accuracy, effectiveness and convenience of the proposed methods. The special cases h(y) = sin y(x), cos y(x); h(y) = sinh y(x), cosh y(x) are considered explicitly using both methods. Interestingly, in each of these methods, a unified result is presented for an integer power of any continuous real-valued function - compared with the case by case computations for the nonlinear functions f(y). The results presented in this paper are a generalisation of several published results. Several examples are given to illustrate the proposed methods. Tables of expansion coefficients of the series solutions of some special Lane-Emden type equations are presented. Comparisons of the two results indicate that both methods are reliably and accurately efficient in solving a class of singular strongly nonlinear ordinary differential equations.

연안해역에서의 수변식생에 의한 파란변형에 관한 수치해석 (Numerical Analysis for Wave Propagation with Vegetated Coastal Area)

  • 이성대
    • 한국해양공학회지
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    • 제20권1호
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    • pp.63-68
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    • 2006
  • Recently, it has been widely recognized that coastal vegetations may have great value in supporting fisheries, protecting from wave attack, stabilizing the sea bed and maintaining good scenery. Hydrodynamic factors play a major role in the functions of water quality and ecosystems. However, the studies on physical and numerical process of wave propagation are few and far behind compared to those on the hydrodynamic roles of coastal vegetations. In general, Vegetation flourishing along the coastal areas attenuates the incident waves, through momentum exchange between stagnated water mass in the vegetated area and rapid mass in the un-vegetated area. This study develops a numerical model for describing the wave attenuation rate in the complex topography with the vegetation area. Based on the numerical results, the physical properties of the wave attenuation are examined under various wave, geometric and vegetation conditions. Through the comparisons of these results, the effects of the vegetation properties, wave properties and model parameters such ac the momentum exchange coefficient have been clarified.

전기 히터 방식의 동결 우레아 해동 현상 및 상경계면 이동에 대한 수치해석 (Numerical Analysis on Melting Phenomena and Phase Interface Change of Frozen Urea-aqueous Solution by Electric Heater)

  • 우성민;최병철
    • 한국자동차공학회논문집
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    • 제22권5호
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    • pp.13-19
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    • 2014
  • Urea-SCR system is the selective catalytic reduction to reduce nitrogen oxides ($NO_x$) emitted from diesel vehicles. The objective of this study is numerical analysis of 3-dimensional unsteady melting problems of frozen urea by using an electric heater. It can be applied to determine capacity of power with respect to time and the location of the urea suction pipe in urea storage tank. The study includes the change of liquid volume fraction, temperature profiles and a influence of natural convection by using the commercial software STAR-CCM+(v7.06). The accuracy of the numerical analysis is estimated by comparisons with experimental data. After validation, a numerical analysis for freezing urea is conducted with four different heating power. From the results, it was found that relation of velocity of phase interface and amount of melting urea by increasing heating power in a container. There is also a difference in trend between velocity of phase interface and amounts of melting urea because of effect of natural convection.

음해법에 의한 2차원 조류유동 계산법 (An Implicit Numerical Method for Two-Dimensional Tidal Computation)

  • 김선영;송무석
    • 대한조선학회논문집
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    • 제35권1호
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    • pp.1-14
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    • 1998
  • 2차원 천수방정식에 기초한 조류계산 수치모델을 개발하였다. 복잡한 해안선의 입력을 단순화할 수 있는 직각격자를 사용하였으며, 방정식은 효율이 뛰어난 것으로 알려져 있는 인수분해음해법(Implicit Factorization Method)에 의하여 수치적으로 풀었다. 대류항은 상류차분법으로 처리하여 수치소산이 자동적으로 들어가도록 하였으며, 따라서 수치불안정에 의한 발산을 억제할 수 있었다. 모델의 검증을 위하여 선형화된 천수방정식을 풀고 계산결과를 해석해와 비교하였으며 잘 일치하고 있음을 확인하였다. 수치모델의 응용 예로서 인천항부근의 경인운하 개발예정인 수로에서의 조류 계산결과를 보였다.

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Inelastic stability analysis of high strength rectangular concrete-filled steel tubular slender beam-columns

  • Patel, Vipulkumar Ishavarbhai;Liang, Qing Quan;Hadi, Muhammad N.S.
    • Interaction and multiscale mechanics
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    • 제5권2호
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    • pp.91-104
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    • 2012
  • There is relatively little numerical study on the behavior of eccentrically loaded high strength rectangular concrete-filled steel tubular (CFST) slender beam-columns with large depth-to-thickness ratios, which may undergo local and global buckling. This paper presents a multiscale numerical model for simulating the interaction local and global buckling behavior of high strength thin-walled rectangular CFST slender beam-columns under eccentric loading. The effects of progressive local buckling are taken into account in the mesoscale model based on fiber element formulations. Computational algorithms based on the M$\ddot{u}$ller's method are developed to obtain complete load-deflection responses of CFST slender beam-columns at the macroscale level. Performance indices are proposed to quantify the performance of CFST slender beam-columns. The accuracy of the multiscale numerical model is examined by comparisons of computer solutions with existing experimental results. The numerical model is utilized to investigate the effects of concrete compressive strength, depth-to-thickness ratio, loading eccentricity ratio and column slenderness ratio on the performance indices. The multiscale numerical model is shown to be accurate and efficient for predicting the interaction buckling behavior of high strength thin-walled CFST slender beam-columns.

Analysis of Numerical Model Wave Predictions for Coastal Waters at Gunsan-Janghang Harbor Entrance

  • Lee Joong-Woo;Lee Hak-Seung;Lee Hoon;Jeon Min-Su;Kim Kang-Min
    • 한국항해항만학회지
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    • 제29권7호
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    • pp.627-634
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    • 2005
  • Gunsan-Janghang Harbor is located at the mouth of Gum River, on the central west coast of Korea The harbor and coastal boundaries are protected from the effects of the open ocean by natural coastal islands and shoals due to depositions from the river, and two breakwaters. The navigation channel commences at the gap formed by the outer breakwater and extends through a bay via a long channel formed by an isolated jetty. For better understanding and analysis of wave transformation process where a wide coastline changes appear due to on-going reclamation works, we applied the spectral wave model including wind effect to the related site, together with the energy balance models. This paper summarizes comparisons of coastal responses predicted by several numerical wave predictions obtained at the coastal waters near Gunsan-Janghang Harbor. Field and numerical model investigations were initially conducted for the original navigation channel management project. We hope to contribute from this study that coastal engineers are able to use safety the numerical models in the area of port and navigational channel design.

밀도성층화된 흐름수역으로 방류되는 해양방류관의 초기확산해석 (Initial Mixing Analysis of Ocean Outfalls Discharged into Density Stratified Flowing Ambients)

  • 이재형;서일원
    • 한국수자원학회논문집
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    • 제33권2호
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    • pp.207-217
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    • 2000
  • 밀도성층화된 흐름 수역으로 방류되는 부력제트에 의한 초기확산을 해석하기 위하여 수치모형을 적용하였다. 수치모형은 제트적분모형으로서 흐름수역의 원역에서의 대표적 특성으로 밝혀진 쌍와흐름특성을 모형에 반영한 Gaussian-vortex모형이다. 수치모형의 현장 적용성을 검토하기 위하여 수표면에서의 초기희석에 대한 관측이 수행된 6개의 해양방류관에 수치모형을 적용하였다. 현장관측자료에 대한 수치모형의 적용결과, 개발된 수치모형이 하수확산관에 의해 해양으로 방류되는 오염물질의 초기 확산해석에 활용될 수 있음을 알 수 있었다.

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Wave Force Analysis of the Three Vertical Cylinders in Water Waves

  • Kim, Nam-Hyeong;Cao, Tan Ngoc Than
    • 한국항해항만학회지
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    • 제32권7호
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    • pp.543-552
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    • 2008
  • The diffraction of waves by three bottom fixed vertical circular cylinders is investigated by using the boundary element method. This method has been successfully applied to the isolated vertical circular cylinder and now is used to study the interaction between waves and multiple vertical cylinders. In this paper, a numerical analysis by the boundary element method is developed by the linear potential theory. The numerical analysis by the boundary element method is based on Green's second theorem and introduced to an integral equation for the fluid velocity potential around the vertical circular cylinders. To verify this method, the results obtained in present study are compared with the results computed by the multiple scattering method. The results of the comparisons show strong agreement. Also in this paper, several numerical examples are given to illustrate the effects of various parameters on the wave exciting force such are the separation distance, the wave number and the incident wave angle. This numerical computation method might be used broadly for the design of various offshore structures to be constructed in the future.