• Journal of the Computational Structural Engineering Institute of Korea
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• v.26 no.1
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• pp.39-48
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• 2013

This paper develops a 2-D moving least squares(MLS) difference method for Stefan problem by extending the 1-D version of the conventional method. Unlike to 1-D interfacial modeling, the complex topology change in 2-D domain due to arbitrarily moving boundary is successfully modelled. The MLS derivative approximation that drives the kinetics of moving boundary is derived while the strong merit of MLS Difference Method that utilizes only nodal computation is effectively conserved. The governing equations are differentiated by an implicit scheme for achieving numerical stability and the moving boundary is updated by an explicit scheme for maximizing numerical efficiency. Numerical experiments prove that the MLS Difference Method shows very good accuracy and efficiency in solving complex 2-D Stefan problems.

• Journal of KIISE:Computer Systems and Theory
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• v.27 no.4
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• pp.353-361
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• 2000

In Computer Graphics, to select the element for modeling is very important in aspect of real-time processing of photorealistic images. Especially in modeling of informal objects, the criteria of choice are such as the minimum number of data, the easy rendering technique, and the expansibility. The metaball model which is one of the methods for modeling the implicit surface is excellent in modeling the complicated surface with a few data. However, a greater number of data are required for modeling objects that consist of planar surfaces with metaballs than with polygons. In this paper, we propose the new skeletal element, metacube which has the merits of metaball and improves the modeling ability of informal objects containing planar surfaces. A metacube has two parameters to change freely its shape from the cube to the sphere and can easily do the modeling of objects with curved surfaces and plane surfaces.

• Explosives and Blasting
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• v.35 no.1
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• pp.27-33
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• 2017

In this study, two fracture toughness test procedures are modelled for selected metal and rock on LS-DYNA, which is a commercial finite element code. The tests are conducted by using the 3-point bend test procedure for rectangular bar specimen. Because it takes a relatively long time to conduct the test, the implicit solver based on the Newmark method is adopted for the analyses. The values of stress intensity factor obtained from the analyses are 73 and $0.3MPa.m^{0.5}$ for the metal and rock material, respectively. It can be thought that the resulting small value of the fracture toughness of the rock material model well represents the brittleness of rock material.

• Water for future
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• v.15 no.1
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• pp.57-62
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• 1982

In order to make a numerical modeling for the one dimensional unsteady flow which expressed by Saint Venant partial differential equations, Preissman's implicit schem was used, and it's stability and accuracy was investigated. By introducing recurrence relations make it possible to use double sweep algorithm. Effective parameters to the result were the values of the C$$ and the Chezy coefticient. In order to get numerical solutions whith enough accuracy, C$$ should not be far from the value of1, and when the criteria of the $\theta$ was 0.6<$\theta$<1.0, the rewult was always stable for any condition. This model should be calibrated by real field data, and expected to be developed for the simulation of the river system and to the long wave analysis for one dimensional coastal zone problem.

• Proceedings of the Korea Water Resources Association Conference
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• 1982.07a
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• pp.27-32
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• 1982

In other to make a numerical modeling for the one dimensional unsteady flow which expressed by Saint Venant partial differential equations, Preissman's implicit scheme was used, and it's stability and accuracy was investigated. By introducing recurrence relations make it possible to use double sweep algorithm. Effective parameters to the result were the values df the $$ and the Chezy coefticient. In other to get numberical solutions with enough accuracy, $$ should not be far from the value of1, and when the criteria of the $$ was 0.6<$$<1.0, the result was alaways stable for any condition. This model should be calibrated by real fileld data, and expected to be developed for the simulation of the river system and to the long wave analysis for one dimensional coastal zone problem.

• Steel and Composite Structures
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• v.47 no.5
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• pp.569-585
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• 2023

This paper proposes an efficient approach for the structural topology optimization of bi-directional functionally graded structures by incorporating popular radial basis functions (RBFs) into an implicit level set (ILS) method. Compared to traditional element density-based methods, a level set (LS) description of material boundaries produces a smoother boundary description of the design. The paper develops RBF implicit modeling with multiquadric (MQ) splines, thin-plate spline (TPS), exponential spline (ES), and Gaussians (GS) to define the ILS function with high accuracy and smoothness. The optimization problem is formulated by considering RBF-based nodal densities as design variables and minimizing the compliance objective function. A LS-RBF optimization method is proposed to transform a Hamilton-Jacobi partial differential equation (PDE) into a system of coupled non-linear ordinary differential equations (ODEs) over the entire design domain using a collocation formulation of the method of lines design variables. The paper presents detailed mathematical expressions for BiDFG beams topology optimization with two different material models: continuum functionally graded (CFG) and mechanical functionally graded (MFG). Several numerical examples are presented to verify the method's efficiency, reliability, and success in accuracy, convergence speed, and insensitivity to initial designs in the topology optimization of two-dimensional (2D) structures. Overall, the paper presents a novel and efficient approach to topology optimization that can handle bi-directional functionally graded structures with complex geometries.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.1
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• pp.93-117
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• 2019

Considering precedent studies in which research subjects are mainly confined to secondary school students or higher grade students of elementary schools, we can notice that there has been implicit agreement that instruction of mathematical modeling is quite difficult to lower grade students of elementary schools. Compared to this tendency, this study aims to examine the possibility of instruction of mathematical modeling for all of school ages, and more specifically, the applicability of mathematical modeling tasks to lower graders. To do this, we developed a mathematical modeling task proper to cognitive characteristics of lower graders and applied this task to the second graders. Based on the research results by lesson observation and the teacher's reflection, some didactical suggestions were induced for teaching the lower grade elementary school students mathematical modeling.

• The Journal of the Korea Contents Association
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• v.6 no.9
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• pp.164-173
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• 2006

As the CG images in the films and the games are getting more realistic by the development of computer graphics, the requests of technique that can develop the various digital contents has also increased. However, the techniques developed for the studies and simulations of the ecological system and adaptation in the ocean, are insufficient compared with those on the ground. This paper propose a method of modeling to simulate the growth of ocean objects according to the variation of virtual ocean environment and the efficient metamorphosis based on the movement of the objects. By modeling the ocean objects with the anisotropic metacubes, it is possible to represent easily the growth and metamorphosis of fishes as the movement in the virtual environment of ocean.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.23 no.4
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• pp.417-424
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• 2010

This study proposes a parametric modeling method for efficient preliminary design of FCM(Free Cantilever Method) bridge. The method is capable of automatic fitting of cross section according to variation of span length of box girder which has variational section. Parameters for forming longitudinal geometry of box girder are defined, then implicit and explicit constraints, and functional relations among them are defined by applying statistics of parameters used in FCM bridge designs. The constraints and relations are applied to a sample bridge for verifying applicability of parametric modeling. In addition, material quantity of the sample model generated by parametric modeling is estimated and compared to the quantity of the real designed model to check the accuracy of the automatically designed parametric model.

• The KIPS Transactions:PartB
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• v.13B no.2 s.105
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• pp.139-148
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• 2006

In the collaborative product design environment, the communication between designers is important to capture design intents and to share a common view among the different but semantically similar terms. The Semantic Web supports integrated and uniform access to information sources and services as well as intelligent applications by the explicit representation of the semantics buried in ontology. Ontologies provide a source of shared and precisely defined terms that can be used to describe web resources and improve their accessibility to automated processes. Therefore, employing ontologies on assembly modeling makes assembly knowledge accurate and machine interpretable. In this paper, we propose a framework of semantic assembly modeling using ontologies to share design information. An assembly modeling ontology plays as a formal, explicit specification of a shared conceptualization of assembly design modeling. In this paper, implicit assembly constraints are explicitly represented using OWL (Web Ontology Language) and SWRL (Semantic Web Rule Language). The assembly ontology also captures design rationale including joint intent and spatial relationships.