• Title/Summary/Keyword: 근사해법

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Analysis of Ultrasonic Scattering from Side-drilled Holes (원주형 기공에 대한 초음파 산란 해석)

  • Jeong, Hyun-Jo;Park, Moon-Cheol
    • Journal of the Korean Society for Nondestructive Testing
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    • v.24 no.6
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    • pp.559-565
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    • 2004
  • Two different methods were used for the scattering analysis of side-drilled holes(SDH). The scattering models include an explicit model based on the Kirchhoff approximation and the solution of the exact separation of variables. The far-field scattering amplitude was calculated and their time-domain results were compared for the case of shear vertical wave. The exact solution predicts the existence of the creeping wave. The Kirchhoff approximation agreed to the exact solution, except the case of the creeping wave. Two measurement models were introduced to predict the response from the SDHs for the case of immersion, pulse-echo testing. The received voltage was calculated for the case of the shear vertical waves with the incident angle of $45^{\circ}$ to the SDH with the diameter of 1mm, and compared with the experimental results.

Numerical Analysis of Dam-Break Flow in an Experimental Channel using Cut-Cell Method (분할격자기법을 이용한 실험수조 댐붕괴파의 수치모의)

  • Kim, Hyung-Jun;Kim, Jung-Min;Cho, Yong-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.2B
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    • pp.121-129
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    • 2009
  • In this study, dam-break flows are simulated numerically by using an efficient and accurate Cartesian cut-cell mesh system. In the system, most of the computational domain is discretized by the Cartesian mesh, while peculiar grids are done by a cutcell mesh system. The governing equations are then solved by the finite volume method. An HLLC approximate Riemann solver and TVD-WAF method are employed to calculation of advection flux of the shallow-water equations. To validate the numerical model, the model is applied to some problems such as a steady flow convergence on an ideal bed, a steady flow over an irregular bathymetry, and a rectangular tank problem. The present model is finally applied to a simulation of dam-break flow on an experimental channel. The predicted water surface elevations are compared with available laboratory measurements. A very reasonable agreement is observed.

An Alternative Point-Matching Technique for Fredholm Integral Equations of Second Kind (제2종 Rredholm 적분방정식의 새로운 수식해법)

  • 이직열;김정기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.5
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    • pp.83-86
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    • 1985
  • An alternative technique (or the numerical solution of Fredholm integral equations of second kind is presented. The approximate solution is obtained by fitting the data in mixed form at knots in the region of the problem. To decrease the error in the numerical solution, cubic B-spline functions which are twice continuously differentiable at knots are employed as basis function. For a given example, the results of this technique are compared with those of Moment method employing pulse functions for basis function and delta functions for test function and found to br in good agreement.

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실내공기분포의 수치해법에 대하여

  • 야촌호;패총정광
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.6 no.1
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    • pp.36-43
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    • 1977
  • 온도분포, 농도분포를 가미한 비압축성 유체의 기초방정식을 토출$\cdot$흡입이 있는 2차원 폐공간에 적용하고 시간공간에 차분근사로써 얻은 수치해에 대하여 서술했다. 이와같은 방법에 대해서는 미해결의 요소가 많이 있으나, 여기서는 토출풍속$\cdot$온도차$\cdot$격자수를 변화시킬 때의 해가 변화하는 모양을 계산예에 따라서 보고한다.

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Flow Resistance by Discontinuous Topography in Simulating Shallow-water Flow (천수 흐름 모의에서 불연속 지형에 따른 흐름 저항)

  • Hwang, Seung-Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.39 no.1
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    • pp.175-181
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    • 2019
  • The hydrostatic pressure, thrust, and wall reflection by a step were studied as the flow resistance due to the discontinuous topography by using the Hwang's scheme in calculating fluxes with an approximate Riemann solver. Compared with the broad-crested weir experiments, the result simulated by using the thrust was the best among them. Hwang's scheme with the thrust by a step was applied to the side weir experiment. The results of simulation agreed well with those of the experiment. Compared to the existing depth-integrated model, the accuracy was slightly lowered, but the running time was reduced to about 20 %.

Numerical Simulation of Hydraulic Jump (도수의 수치 모의)

  • Hwang, Seung-Yong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.43 no.6
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    • pp.749-762
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    • 2023
  • A depth-integrated model with an approximate Riemann solver for flux computation of the shallow water equations was applied to hydraulic jump experiments. Due to the hydraulic jump, different flow regimes occur simultaneously in a single channel. Therefore, the Weisbach resistance coefficient, which reflects flow conditions rather than the Manning roughness coefficient that is independent of depth or flow, has been employed for flow resistance. Simulation results were in good agreement with experimental results, and it was confirmed that Manning coefficients converted from Weisbach coefficients were appropriately set in the supercritical and subcritical flow reaches, respectively. Limitations of the shallow water equations that rely on hydrostatic assumptions have been revealed in comparison with hydraulic jump experiments, highlighting the need for the introduction of a non-hydrostatic shallow-water flow model.

One-dimensional Hydraulic Modeling of Open Channel Flow Using the Riemann Approximate Solver I : Model Development (Riemann 해법을 이용한 1차원 개수로 수리해석Ⅰ: 모형 개발)

  • Kim, Ji-Sung;Han, Kun-Yeun
    • Journal of Korea Water Resources Association
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    • v.41 no.8
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    • pp.761-772
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    • 2008
  • The object of this study is to develop the model that solves the numerically difficult problems in hydraulic engineering and to demonstrate the applicability of this model by means of various test examples, such as, verification in the gradually varied unsteady condition, three steady flow problems with the change of bottom slope with exact solution, and frictional bed with analytical solution. The governing equation of this model is the integral form of the Saint-Venant equation satisfying the conservation laws, and finite volume method with the Riemann solver is used. The evaluation of the mass and momentum flux with the HLL Riemann approximate solver is executed. MUSCL-Hancock scheme is used to achieve the second order accuracy in space and time. This study introduce the new and simple technique to discretize the source terms of gravity and hydrostatic pressure force due to longitudinal width variation for the balance of quantity between nonlinear flux and source terms. The results show that the developed model's implementation is accurate, robust and highly stable in various flow conditions with source terms, and this model is reliable for one-dimensional applications in hydraulic engineering.

Migration from Compressible Code to Preconditioned Code (압축성 코드에서 예조건화 코드로의 이전)

  • Han, Sang-Hoon;Kim, Myeong-Ho;Choi, Jeong-Yeol
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.3
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    • pp.183-195
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    • 2007
  • Comprehensive mathematical comparison of numerical dissipation vector was made for a compressible and the preconditioned version Roe's Riemann solvers. Choi and Merkle type preconditioning method was selected from the investigation of the convergence characteristics of the various preconditioning methods for the flows over a two-dimensional bump. The investigation suggests a way of migration from a compressible code to a preconditioning code with a minor changes in Eigenvalues while maintaining the same code structure. Von Neumann stability condition and viscous Jacobian were considered additionally to improve the stability and accuracy for the viscous flow analysis. The developed code was validated through the applications to the standard validation problems.

최대 가중치 합 그래프 마디 분리에 관한 연구 (이론분야)

  • Hong, Seong-Pil;Jeong, Seong-Jin;Kim, Yeong-Il
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.11a
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    • pp.577-588
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    • 2006
  • 이 논문에서는 호의 가중치가 음수가 될 수 있는 무향 그래프에서 마디집합들을 선택했을 때, 각 마디집합 사이에 걸쳐 있는 호의 가중치 합을 최대화하는 최대 가중치 합 그래프마디 분리 문제에 대해 연구한다. 우선$P\;{\neq}\;NP$ 라는 가정 하에서, 이 문제는 NP - hard이며 어떠한 근사 계수를 가지는 근사해법도 존재하지 않는다는 것을 밝힌다. 또한 이 문제를 정수 계획으로 풀기 위해, 그래프의 절단면을 나타내는 벡터들이 만드는 다면체의 극대면(facet)을 정의하는 부등식들을 추가 제약식으로 사용하는 branch-and-cut 알고리듬을 제시하고 구현하였다.

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Radative Effect on the Conjugate Mixed Convection-Conduction Heat Transfer along a Vertical Circular Cylindrical Fin (연직 원통윈에서의 혼합대류-전도 복합열전달에 미치는 복사효과)

  • 최상경;여문수;손병진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1706-1716
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    • 1991
  • 본 연구에서는 혼합대류하는 연직원통휜 열전달에 미치는 복사효과에 Rossel- and 근사해법을 도입한 층류 경계층방정식과 휜 전도방정식을 동시에 해석하여 복사 -전도매개변수(radiation-conduction parameter) M, 대류-전도 매개변수(convectionc- onduction parameter) N$_{c}$, 부력매개변수(buoyancy force parameter) R$_{i}$ 그 리고 횡곡률 매개변수(transverse curvature parameter) .lambda.를 계산 파라미터로 하여 휜 최적설계의 기본이 되는 총열전단률, 무차원 국소등가열전달계수, 무차원 국소열플 럭스 및 휜온도분포를 계산할 수 있는 일반성있는 algorithm을 개발하고 휜 성능에 관 한 결과들을 제공함으로써, 좀 더 완전한 복사 열플럭스를 도입한, 다음 연구를 위한 범용의 기초자료를 얻는데 본 연구의 목적이 있다.