• Title/Summary/Keyword: 경계 처리법

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해상 탄성파탐사 기법을 이용한 단층파쇄대 분석 적용사례

  • 이준석;최세훈;김재관;최원석
    • Geotechnical Engineering
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    • v.20 no.4
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    • pp.38-49
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    • 2004
  • 해상 반사법탐사는 해저 지반의 지층구조를 파악하는 기술로서 해저지층에 부존하는 가스나 골재 등 해저자원 탐사와 해저의 저장시설 건설, 파이프라인 설치 등 다양한 해양 토목공사를 위한 지반조사에 사용된다. 해상 반사법탐사의 기본적인 원리는 해수면 근처에서 인공적으로 음파를 발생시켜 해저면 하부의 지층으로 침투시키면 서로 다른 물성을 갖는 지층의 경계면에서 일부 음파는 반사되는데, 이 반사파를 수신하는 것이다. 탐사과정에서 얻어진 트레이스에는 반사파 이외에도 직접파, 다중반사파와 같은 잡음이 섞여있는데 자료처리를 통해 탄성파 단면도를 작성하고, 이를 해석하여 해저지반의 지질학적 구조를 파악하는 것이 해상 반사법탐사의 목적이다.

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Analysis of Interface Problem using the MLS Difference Method with Interface Condition Embedment (계면경계조건이 매입된 이동최소제곱 차분법을 이용한 계면경계문제 해석)

  • Yoon, Young-Cheol
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.32 no.4
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    • pp.215-222
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    • 2019
  • The heat conduction problem with discontinuous material coefficients generally consists of the conservative equation, boundary condition, and interface condition, which should be additionally satisfied in the solution procedure. This feature often makes the development of new numerical schemes difficult as it induces a layered singularity in the solution fields; thus, a special approximation is required to capture the singular behavior. In addition to the approximation, the construction of a total system of equations is challenging. In this study, a wedge function is devised for enriching the approximation, and the interface condition itself is embedded in the moving least squares(MLS) derivative approximation to consistently satisfy the interface condition. The heat conduction problem is then discretized in a strong form using the developed derivative approximation, which is named as the interface immersed MLS difference method. This method is able to efficiently provide a numerical solution for such interface problems avoiding both numerical quadrature as well as extra difference equations related to the interface condition enforcement. Numerical experiments proved that the developed numerical method was highly accurate and computationally efficient at solving the heat conduction problem with interfacial jump as well as the problem with a geometrically induced interfacial singularity.

Smartphone Digital Image Processing Method for Sand Particle Size Analysis (모래 입도분석을 위한 스마트폰 디지털 이미지 처리 방법)

  • Ju-Yeong Hur;Se-Hyeon Cheon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.35 no.6
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    • pp.164-172
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    • 2023
  • The grain size distribution of sand provides crucial information for understanding coastal erosion and sediment deposition. The commonly used sieve analysis for grain size distribution analysis has limitations such as time-consuming processes and the inability to obtain information about individual particle shapes and colors. In this study, we propose a grain size distribution analysis method using smartphone digital images, which is simpler and more efficient than the sieve analysis method. During the image analysis process, we effectively detect particles from relatively low-resolution smartphone digital images by extracting particle boundaries through image gradient calculation. Using samples collected from four beaches in Gyeongsangbuk-do, we compare and validate the proposed boundary extraction image analysis method with the analysis method that does not extract boundaries, against sieve analysis results. The proposed method shows an average error rate of 8.21% at D50, exhibiting a 65% lower error compared to the method without boundary extraction. Therefore, grain size distribution analysis using smartphone digital images is convenient, efficient, and demonstrated accuracy comparable to sieve analysis.

Isogeometric Analysis for Two-dimensional Multipatch Model (2차원 멀티패치 모델의 아이소-지오메트릭 해석)

  • Kim, Min-Geun;Koo, Bonyong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.6
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    • pp.515-522
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    • 2017
  • In this paper, an isogeometric analysis for multipatch problem is investigated, in which two or more geometries are connected at the interface in a conforming or non-conforming conditions. To express higher continuity at the patch interface, two approaches such as Nitsche based method and master-slave method are formulated for the linear elasticity problem and discretized using the isogeometric approach using NURBS basis functions. A short comparison between two approaches in formulations reveals the pros and cons of them with the applicability in the isogeometric multipatch problem. In addition, a NURBS based stress recovery is adopted to express a better stress continuity through the post-processing. Numerical examples indicate the effectiveness of Nitsche method in the non-conforming patch, following the exact solution well. For the stress concentration problem with the conforming patch, introduced two methodologies show comparative results, meanwhile the NURBS based stress recovery presents an improved smooth stress contour in the whole domain including the patch interface.

Three-Dimensional Finite Difference Analysis of Anisotropic Body with Arbitrary Boundary Conditions (임의의 경계조건을 갖는 비등방성 탄성체의 3차원 유한차분 해석)

  • Lee, Sang Youl;Yhim, Sung Soon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.303-315
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    • 2000
  • The main object of this study is to analyze mechanical behaviors as anisotropic three-dimensional body under various static loads. This paper presents the applicability of the finite difference method to three dimensional problem of anisotropic body. The finite difference method as applied here is generalized to anisotropic three-dimensional problem of elastic body where the governing differential equations of equilibrium of such bodies are expressed in terms of the displacement u, v, and w in the coordinates axes x, y and z, care being taken to modify the finite difference expressions to satisfy the appropriate boundary conditions. By adopting a new three dimensional finite difference modelling including elimination of pivotal difference points in the case of free boundary condition, the three dimensional problem of anisotropic body was successfully completed. Several numerical results show quick convergence and numerical validity of finite difference technique in three dimensional problem.

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Computational Efficiency of Thermo-Elasto-Viscoplastic Damage and Contact Analyses by Domain/Boundary Decomposition (영역/경계 분할에 의한 열탄점소성 손상 및 접촉 해석의 효율화)

  • Kim, Sung-Jun;Shin, Eui-Sup
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.2
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    • pp.153-161
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    • 2009
  • A domain/boundary decomposition method is applied for efficient analyses of thermo-elasto-viscoplastic damage and contact problems under the assumption of infinitesimal deformation. For the decomposition of a whole domain and contact boundaries, all the equality constraints on the interface and contact interfaces are restated with simple penalty functional. Therefore, the non-linearity of the problem is localized within finite element matrices in a few subdomains and on contact interfaces. By setting up suitable solution algorithms, the computational efficiency can be improved considerably. The general tendency of the computational efficiency is illustrated with some numerical experiments.

Fast and Accurate Handling of Solid Collisions with Boundary Problem of Air Meshes (공기 메쉬의 경계 문제를 이용한 고체 충돌의 빠르고 정확한 처리)

  • Moon, Seong-Hyeok;Kim, Jong-Hyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2022.07a
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    • pp.569-572
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    • 2022
  • 본 논문에서는 공기 메쉬(Air meshes)를 이용하여 고체의 충돌을 효율적으로 처리할 수 있는 새로운 방법을 제시한다. 기존의 프리미티브 단위의 충돌 처리는 시뮬레이션의 안정성을 높이기 위해 시간 간격(Time-step), 3차 방정식과 같은 큰 계산 과정을 필요로 했으며, 장면 복잡도에 따라 DCD(Discrete collision detection)뿐만 아니라 CCD(Continuous collision detection)까지 고려해야 되는 상황이 빈번히 발생한다. 본 논문에서는 이전에 제안된 공기 메쉬 기법을 통해 충돌처리를 효율적으로 개선시킬 수 있는 방법에 대해서 제안한다. 원본 공기 메쉬 접근법은 시뮬레이션 메쉬가 아닌, 주변 공기를 메쉬화시키고 이들의 변형을 부피로 근사하여 충돌 여부 및 처리를 인지하고 예측했다. 공기 메쉬를 정제하는 과정에서 수치적인 수렴을 위해 정삼각형을 유지하려는 제약사항을 두었다. 하지만, 이러한 방법은 장면에 따라 노이즈한 결과를 나타내며, 헤어나 털 시뮬레이션과 같은 라인 형태인 시뮬레이션에서는 경계 문제가 더욱더 민감하게 나타났다. 본 논문에서는 공기 메쉬를 정제하는 과정에서 새로운 제약 조건을 추가하여 노이즈가 완화된 충돌처리 결과를 보여준다. 우리의 헤어뿐만 아니라 대부분의 장면에서 안정적인 결과를 보여준다.

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Iterative Image Restoration Based on Wavelets for De-Noising and De-Ringing (잡음과 오류제거를 위한 웨이블렛기반 반복적 영상복원)

  • Lee Nam-Yong
    • Journal of the Institute of Convergence Signal Processing
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    • v.5 no.4
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    • pp.271-280
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    • 2004
  • This paper presents a new iterative image restoration algorithm with removal of boundary/object-oriented ringing, The proposed method is based on CGM(Conjugate Gradient Method) iterations with inter-wavelet shrinkage. The proposed method provides a fast restoration as much as CGM, while having adaptive do-noising and do-ringing by using wavelet shrinkage. In order to have effective do-noising and do-ringing simultaneously, the proposed method uses a space-dependent shrinkage rule. The improved performance of the proposed method over more traditional iterative image restoration algorithms such as LR(Lucy-Richardson) and CGM in do-noising and do-ringing is shown through numerical experiments.

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Efficient Finite Element Analyses of Contact Problems by Domain/Boundary Decomposition Method (영역/경계 분할법을 이용한 저복 문제의 효율적인 유한요소 해석)

  • Ryu, Han-Yeol;Shin, Eui-Sup
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.5
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    • pp.404-411
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    • 2007
  • new domain/boundary decomposition method is suggested to perform efficient finite element analyses of contact problems. A penalty method is used for connecting an interface or contact interfaces with neighboring subdomains that satisfy continuity conditions. As a result, the derived effective stiffness matrices are always positive definite, and computational efficiency can be improved to a considerable degree. Moreover, any complex-shaped domain can be divided into independently modeled subdomains without considering the conformity of meshes along the interface. Using a computer code based on the present method, these advantageous features are confirmed through a set of numerical examples.

Simulation of Standing Wave using Boundary Element Method (경계요소법(境界要素法)을 이용한 중복파(重複波)의 재현(再現))

  • Oh, Young Min;Lee, Kil Seong;Chun, In Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1445-1451
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    • 1994
  • To calculate the wave pressure acting on coastal structures under the design wave condition, it is often necessary to numerically reproduce the big standing wave profiles close to wave breaking condition. For this, the governing equation and all nonlinear terms occurring in boundary conditions should be effectively considered in the numerical wave profile. In particular, the velocity square term in the free surface boundary condition is very important. A boundary element method is applied here to calculate the standing wave profile with the velocity square term fully treated by Newton iterative method. In order to check the validity of the method, the numerical wave profiles are compared to ones calculated by the perturbation method, the Fourier approximation method and the hydraulic experiment.

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