• 호남수학학술지
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• 제40권4호
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• pp.785-794
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• 2018

In [8] they introduced a new finite element method for accurate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous Dirichlet boundary condition with one corner singularity at the origin, and compute the finite element solution using standard FEM and use the extraction formula to compute the stress intensity factor, then pose a PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor, which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. This approach uses the polar coordinate and the cut-off function to control the singularity and the boundary condition. In this paper we consider Poisson equations with multiple singular points, which involves different cut-off functions which might overlaps together and shows the way of cording in FreeFEM++ to control the singular functions and cut-off functions with numerical experiments.

• Journal of applied mathematics & informatics
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• 제9권1호
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• pp.1-13
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• 2002

In this paper we present numerical methods fur computations of nonequilibrium hypersonic flow of air around bodies including chemical reaction effects and present numerical result of the flow over concave corners. We developed implicit finite difference method to overcome numerical difficulties with the lack of resolution behind the shock and near the body. Using our method we were able to find details of the flow properties near the shock and body and were able to continue the computation of the flow for a long distance from the corner of the body.

• 한국진공학회지
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• 제13권3호
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• pp.120-126
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• 2004

트렌치 소자 제조시 게이트 산화막 성장과 내압 강하의 원인이 되는 식각손상 회복과 코너 영역의 구조를 개선하기 위해 수소 분위기 열처리를 하였다. 열처리시 수소 원자에 의한 환원 반응을 이용하여 표면 에너지가 높은 코너 영역에서는 원자들의 이동에 의한 결정면 재배열, 산화막 측벽에서의 실리콘 원자 적층, 표면 거칠기의 개선 효과 등을 전자현미경 관찰을 통해 확인하였다. 실리콘 원자의 이동을 방해하는 식각 후 잔류 산화막을 수소 가스의 환원성 분위기에서 열처리함으로써 표면 에너지를 낮추는 방향으로 원자의 이동이 일어나 concave 영역, 즉 트렌치 bottom corner에서는 (111), (311) 결정면 재분포 현상이 일어남을 확인할 수 있었다. 또한 convex comer에서의 원자 이동으로 인해 corner 영역에서는 (1111) 면의 step 들이 존재하게 되고 원자 이동에 의해 산화막 측벽에 이르러 이동된 원자의 적층이 일어나며, 이는 열처리시 표면 손상 회복이 원자이동에 의함을 나타낸다. 이러한 적층은 표면 상태가 깨끗할수록 정합성을 띄어 기판과 일치하는 에피 특성을 나타내고 열처리 온도가 높을수록 표면 세정 효과가 커져 식각손상 회복효과가 커지며, 이를 이용하여 이후의 산화막 성장시 균일한 두께를 코너영역에서 얻을 수 있었다

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제13권4호
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• pp.281-292
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• 2009

The solution of the interface problem or Poisson problem with concave corner has singular perturbation at the interface corners or singular corners. The decoupled dual singular function method (DDSFM) which exploits the singular representations of the solutions was suggested in [3, 9] and estimated optimal accuracy in [10]. The convergence rates consist with theoretical results even for the problems with very strong singularity, with the efficiency depending on parameters used in the methods. Furthermore the errors in $L^2$ and $L^\infty$-spaces display some oscillation, in the cases with meshsize not small enough. In this paper, we present an answer to remove the oscillation via numerical experiments. We observe the effects of parameters in DDSFM, and show the consisting efficiency of the method over the strong singularity.

• 대한조선학회지
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• 제18권4호
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• pp.13-20
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• 1981

The hydrodynamic added mass of two dimensional cylinders oscillating vertically at high frequencies in the free surface is of interest to ship vibration problems. Conformal transformation is one of the methods commonly in use for computing the inertia coefficient. Especially, Schwarz-Christoffel transformation has been employed to evaluate the inertia coefficient for the cylinders of straight frames and chines. In this paper, the inertia coefficient for the cylinders with round corners in vertical oscillation at high frequencies are evaluated by employing the Schwarz-Christoffel transformation for the concave corner. The results of calculation by employing the Schwarz-Christoffel transformation are found to be well within the expected range of values compared to Lewis form and the results obtained by source distribution method.

• Nuclear Engineering and Technology
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• 제53권5호
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• pp.1416-1428
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• 2021

Pebble flow characteristics can be significantly affected by the configuration of pebble bed, especially for HTGR pebble beds. How to achieve a desired uniform flow pattern without stagnation is the top priority for reactor design. Pebbles flows inside some specially designed pebble bed with arc-shaped contraction configurations at the bottom, including both concave-inward and convex-outward shapes are explored based on discrete element method. Flow characteristics including pebble retention, residence-time frequency density, flow uniformity as well as axial velocity are investigated. The results show that the traditionally designed pebble bed with cone-shape bottom is not the most preferred structure with respect to flow pattern for reactor design. By improving the contraction configuration, the flow performance can be significantly enhanced. The flow in the convex-shape configuration featured by uniformity, consistency and less stagnation, is much more desirable for pebble bed design. In contrast, when the shape is from convex-forward to concave-inward, the flow shows more nonuniformity and stagnation in the corner although the average cross-section axial velocity is the largest due to the dominant middle pebbles.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2003년도 춘계학술대회 논문집
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• pp.547-552
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• 2003

In mold machining, there are many concave machining regions where chatter and tool deflection occur since MRR (material removal rate) increases as curvature increases even though cutting speed and depth of cut are constant. Boolean operation between stock and tool model is widely used to compute MRR in NC milling simulation. In finish cutting, the side step is reduced to about 0.3mm and tool path length is sometimes over 300m. so Boolean operation takes long computation time and includes much error if the resolution of stock and tool model is larger than the side step. In this paper, curvature of CL(cutter location) surface and side step of tool path is used to compute the feedrate for constant MRR machining. The data structure of CL surface is Z-map generated from NC tool path. The algorithm to get local curvature from discrete data was developed and applied to compute local curvature of CL surface. The side step of tool path was computed by point density map which includes cutter location point density at each grid element. The feedrate computed from curvature and side step is inserted to new tool path to regulate MRR. The resultants wire applied to feedrate optimization system which generates new tool path with feedrate from NC codes for finish cutting. The system was applied to speaker mold machining. The finishing time was reduced to 12.6%. tool wear was reduced from 2mm to 1.1mm and chatter marks and over cut on corner were removed.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2012년도 학술발표회
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• pp.727-727
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• 2012

최근 제체 설치수심의 대수심화로 인해 직립 케이슨제의 건설이 주를 이루고 있으며, 외곽시설의 경우 평면배치에 의하여 곡면부 구간이 형성된다. 이와 같은 구간에서는 파랑 증폭이 발생할 수 있다. 특히 우각부 구간에서의 파랑증폭에 의한 월파량 산정은 기존 직각으로 입사하는 조건에 대한 월파량 산정 방법과는 다른 해석이 필요하다. 본 연구에서는 직립제 우각부에 대한 월파량 분포를 검토 및 분석하고자 한다. 그림 1과 같이 우각부의 각도를 $10^{\circ}{\sim}30^{\circ}$로 제작했으며, 각각 발생시킨 파랑의 주기는 1.18초, 1.38초, 1.57초, 1.77초, 1.98초, 파고는 7.5cm, 10cm, 12.5cm이다. 또한 그림 2와 같이 각 월파가 일어나는 직립제 모형의 여유고를 7.5cm, 10cm, 12.5cm, 15cm를 적용하였다. 우각부 구간에서 월파의 공간적인 분포를 수리모형 실험을 통하여 검토하였다. 월파의 공간적인 분포를 검토하기 위하여 월파량 영향계수( )를 도입하였다. 우각부가 없는 직각으로 입사하는 조건의 월파량 실험을 통해 그 월파량의 값이 영향계수의 $r_x=1.0$이며, 우각부 중심을 기준으로 구조물을 따라서 공간적인 월파량 영향계수를 산정하였다.

• Computers and Concrete
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• 제31권2호
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• pp.163-171
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• 2023

Face gear transmission is widely used in aerospace shunt-confluence transmission system. Tooth wear is one of the main factors affecting its bearing transmission performance. Furthermore, the installation errors of face gear are inevitable. In order to study the wear mechanism of face gear tooth surface with installation errors, based on tooth contact analysis numerical method and Archard wear theory, the UMESHMOTION subroutine in ABAQUS is developed.Combining with Arbitrary Lagrangian-Eulerian adaptive mesh technology, the finite element mesh wear model of abraded face gear pair is established.The preprocessing conditions are set to generate the inp files.Then,the inp files for each corner are imported and batch processed in ABAQUS.The loading tooth contact problem at each rotation angle is solved and the load distribution coefficient among gear tooth, tooth root bending stress, tooth surface contact stress and loaded transmission error are obtained. Results show that the tooth root wear is the most serious and the wear at the pitch cone is close to 0.The wear law of tooth surface along tooth width direction is convex parabola and the wear law along tooth height direction is concave parabola.

• 한국인터넷방송통신학회논문지
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• 제11권3호
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• pp.75-81
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• 2011

단백질 분자는 포켓 위치에서 유사한 형상을 갖는 다른 분자와 결합되며, 포켓은 단백질 분자의 형상을 묘사하기 위한 참조 점으로 사용될 수 있다. Harris 검출기는 2 차원이나 3차원 객체의 특징 점을 검출하기 위해 널리 사용된다. 특징 점들은 데이터의 변화율이 높은 영역과 포켓 영역에서 발견된다. 일반적으로 포켓 영역은 함몰된 형태로 존재하기 때문에 이 영역에는 다른 영역에 비해 다수의 특징 점들이 존재한다. 특징 점들을 포함하는 voxel cube를 연속적으로 분할함으로써 포켓 영역을 발견할 수 있었고, 포켓 영역의 중심 좌표와 특징 점들 간의 Euclidean 거리를 계산한 후 이들을 크기순으로 정렬 하였다. 정렬된 거리에 대한 그래프는 단백질 분자의 형상과 특징 점들의 분포에 대한 정보를 제공하므로 단백질 분자를 형상별로 분리 할 수 있었다. 본 연구에서는 인위적인 잡음을 단백질 분자에 추가하여 형상이 왜곡된 분자를 얻었고, 왜곡된 분자에 대해서도 95 % 이상의 정확 도로 형상을 인식 할 수 있었다. 정확한 단백질 분자의 형상 인식은 분자들 간의 결합특성을 예측할 수 있는 중요한 정보를 제공한다.