• 대한조선학회논문집
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• 제58권2호
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• pp.90-96
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• 2021

In this study, the method of determining the state of grid points in the adaptable surface particle method based on grid system developed as a free-surface tracing method was improved. The adaptable surface particle method is a method of determining the state of the grid point according to the shape of the free-surface and obtaining the intersection of the given free-surface and grid line where the state of the grid point changes. It is difficult to determine the state of grid points in the event of rapid flow, such as collision or separation of free-surfaces, and this study suggests a method for determining the state of current grid points using the state of surrounding grid points where the state of grid point are known. A grid layer value was assigned sequentially to a grid away from the free-surface, centering on the boundary cell where the free-surface exists, to identify the connection information that the grid was separated from the free-surface, and to determine the state of the grid point sequentially from a grid away from the free-surface to a grid close to the free-surface. To verify the improved method, a numerical analysis was made on the problem of dam break in which a sudden collision of free-surface occurred and the results were compared, and the results were relatively reasonable.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2010년 춘계학술대회논문집
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• pp.326-334
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• 2010

In this study, we provide a comprehensive review of the CIP(Constrained Interpolation Pro file/Cubic Interpolated Propagation) method with a pressure-based algorithm that is known as a general numerical solver for soled liquid, gas and plasmas. And also we introduce a body-fitted grid system(Soroban grid) for computation of strongly nonlinear marine hydrodynamic problems such as slamming water on deck, wave impact by green water. This grid system can keep the third-order accuracy in time and space with the help of the CIP method. The grid system consists of the straight lines and grid points. In the 2-dimensional grid case, each grid points moving in these lines like abacus - Soroban in Japanese. The length of each line can be different and the number of grid points in each line can be different. Mesh generation and searching of upstream departure point are very simple and possible to mesh-free treatment. To optimize computation of free-surface and multi-fluid flows, We adopt the C-CUP method. In most of the earlier computations, the C-CUP method was used with a staggered-grid approach. Here, because of the mesh free nature of the Soroban grid, we use the C-CUP method with a collocated-grid approach.

• 산업기술연구
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• 제18권
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• pp.181-186
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• 1998

The flatness is the most important nature for the surface table. For finding such a flatness, the surface is surveyed along a number of straight lines parallel to the edges of table, which form a grid. Next, the variations in height of the grid points are measured relative to a datum point. If the number of such points is increased. It is not necessarily to use many grid points for finding the original flatness of a measured surface table. So, it is necessary to find the rational quantity of such grid points. It is found that about 220 points per $1m^2$ of surface table for measurement is the rational quantity with less than about 15% error of the original flatness.

• Structural Engineering and Mechanics
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• 제70권3호
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• pp.279-287
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• 2019

This paper intends to introduce a near-tip grid refinement and to explore its usefulness in the crack analysis by the natural element method (NEM). As a sort of local h-refinement in FEM, a NEM grid is locally refined around the crack tip showing the high stress singularity. This local grid refinement is completed in two steps in which grid points are added and Delaunay triangles sharing the crack tip node are divided. A plane-state plate with symmetric edge cracks is simulated to validate the proposed local grid refinement and to examine its usefulness in the crack analysis. The crack analysis is also simulated using a uniform NEM grid for the sake of comparison. The near-tip stress distributions and SIFs that are obtained using a near-tip refined NEM grid are compared with the exact values and those obtained using uniform NEM grid. The convergence rates of global relative error to the total number of grid points between the refined and non-refined NEM grids are also compared.

• 대한기계학회논문집B
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• 제24권9호
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• pp.1148-1156
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• 2000

The QUICK scheme for convection terms is modified for unstructured finite volume method by using linear reconstruction technique and validated through the computation of two well defined laminar flows. It uses two upstream grid points and one downstream grid point in approximating the convection terms. The most upstream grid point is generated by considering both the direction of flow and local grid line. Its value is calculated from surrounding grid points by using a linear construction method. Numerical error by the modified QUICK scheme is shown to decrease about 2.5 times faster than first order upwind scheme as grid size decreases. Computations are also carried out to see effects of the skewness and irregularity of grid on numerical solution. All numerical solutions show that the modified QUICK scheme is insensitive to both the skewness and irregularity of grid in terms of the accuracy of solution.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 추계학술대회논문집A
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• pp.824-828
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• 2000

Prior to the downloading of the NC codes to a machining center, the NC tool-path can be verified in a computer. The Z-map is one of the tools for the verification of NC tool-path. The Z-map is a two dimensional array in which the height values of the Z-axis direction vectors are stored. The Z-axis direction vectors are arranged in a rectangular grid pattern on the XY plane. The accuracy of the simulation comes from the grid interval. In the rectangular Z-map, the distances between the grid points are different. The distance in diagonal direction is larger than those in X or Y axis directions. For the rendering of the Z-map, a rectangular grid is divided into two triangular facets. Depending on the selection of a diagonal, there are two different cases. In this paper, triangular Z-map, in which the Z-axis direction vectors are arranged in a triangular grid pattern on XY plane, is proposed. In the triangular Z-map, the distances between grid points are equal. There is no ambiguity to make triangular facets for the rendering.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1995년도 춘계학술대회 논문집
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• pp.485-489
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• 1995

From the relationship between the two different views of an object with grid, the three dimensional coordinates of intersection points are determined. The images are captured and digitized with a CCD camera and a frame grabber. To find intersection points, local thresholding and line thinning operations are performed. By establishing the correspondence between the points in the two views, the three dimensional corrdinates of intersection points are calculated.

• 한국항공우주학회지
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• 제39권11호
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• pp.995-1004
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• 2011

Overset 격자계에서 사용되는 Object X-rays Method는 홀점 탐색의 일부인 교차점 탐색에 복잡한 벡터계산을 사용하고 개별 배경격자점에 대하여 물체 내외부를 판별하여 홀점을 탐색하므로 많은 시간이 소요된다. 특히 격자의 상대운동이 있을 경우 매 시간간격 마다 홀점 탐색을 수행해야 하므로 계산 시간이 가중된다. 이러한 문제를 해결하기 위해 본 연구에서는 홀점 탐색시간을 줄일 수 있는 효율적인 탐색 알고리즘을 제안한다. 빠른 탐색을 위해 격자점 수가 줄어든 가상의 표면을 사용하고 복잡한 벡터계산을 통한 교차점 탐색 대신 논리연산자를 사용하는 내외부 판별법을 사용하였다. 또한 개별 배경격자점에 대해 홀점 판별을 수행하는 대신 일괄로 홀점을 지정하여 탐색속도를 향상시켰다. 물체의 상대운동이 있을 경우 가상의 표면이 상대 운동하여 기존 방법에 비해서 홀점 탐색시간을 감소시킬 수 있었다. 임의의 2차원, 3차원 형상에 대하여 기존의 hole searching 알고리즘과 홀점 탐색속도를 비교한 결과를 제시하였다.

• 한국측량학회지
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• 제9권2호
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• pp.139-149
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• 1991

일반적으로 수치표고모델은 데이타 획득의 자동화 및 관리가 용이한 격자망의 형태로 구성되어져 왔다. 그러나 격자형 수치표고모델은 일정한 간격으로 데이타를 추출하기 때문에 지형의 특성을 정확하고 상세하게 나타내기 위하여는 많은 데이타 용량을 필요로 한다. 본 연구는 격자형 수치표고모델로부터 지형을 대표할 수 있는 중심점을 추출함으로써 압축된 수치표고 모델을 구축하고자 하였다. 이를 위하여 지형의 중심점이 1차미분 연산자 및 라플라스 연산자에 의한 하이-패스 필터링에 의하여 추적되어 진다. 본 연구의 결과 압축된 수치표고모델을 구축하는데 있어서 라플라스 연산자가 1차미분 연산자보다 더 효과적인 하이-패스 필터임을 알 수 있었다.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제3권1호
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• pp.13-17
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• 2003

A continuous solution of the Dirichlet boundary value problem for the heat equation $u_t$＝$a2u_{xx}$ using a fuzzy system is described. We first apply the Crank-Nicolson method to obtain a discrete solution at the grid points for the heat equation. Then we find a continuous function to represent approximately the discrete values at the grid points in the form of a bicubic spline function (equation omitted) that can in turn be represented exactly by a fuzzy system. We show that the computed values at non-grid points using the bicubic spline function is much smaller than the ones obtained by linear interpolations of the values at the grid points. We also show that the fuzzy rule table in the fuzzy system representation of the bicubic spline function can be viewed as a gray scale image. Hence, the fuzzy rules provide a visual representation of the functions of two variables where the contours of different levels for the function are shown in different gray scale levels