• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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• pp.288-295
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• 2003

An adaptive procedure in finite element analysis is presented by p-refinement of meshes in conjunction with a posteriori error estimator that is based on the recovery technique. In case of the recovery technique, the SPR(superconvergent patch recovery) approach has been modified for p-adaptive mesh refinement. The strategy of finding a nearly optimal distribution of polynomial degrees on a fixed finite element mesh is discussed such that a particular element has to be refined automatically to obtain an acceptable level of accuracy by increasing p-levels non-uniformly. To verify the proposed algorithm, the limit value approach is proposed which utilizes the exact strain energy computed from the extrapolation equation. A new pre-processor is developed for the p-version finite element program in which the vector graphic editor is used for the automatic generation of node connection and coordinate by halfedge solid data structure according to uniform or nonuniform p-distribution. The general 2-D algorithm is also developed to generate face modes and internal modes in accordance with different mesh types. The quality of the error estimator is investigated with the help of two mumerical examples. The results show that the sequences of p-distributions obtained by the proposed error indicator closely follow the optimal trajectory.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1988년도 추계학술대회 논문집 학회본부
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• pp.24-27
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• 1988

This paper presents an adaptive finite element method for magnetostatic force computation using Maxwell's stress tensor Mesh refinements are performed automatically by interelement flux density discontinuity errors and element force errors. In initial mesh, the computed forces for different Integration paths give great differences. but converge to a certain value as mesh division is performed by the adaptive scheme, We obtained good agreement between analytic solutions and numerical values In typical examples.

• Journal of Mechanical Science and Technology
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• 제14권2호
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• pp.177-187
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• 2000

Dilution is an important factor which influences the properties of clad layer. In this paper the change of dilution during laser cladding and the control of dilution are simulated by a finite element method. The adaptive mesh method is adopted for the time-dependent finite element method computation so that the shape of melt pool can be well represented. The situation of the width control of melt pool is also simulated, which indicates that the dilution can be controlled if the width of melt pool is controlled. Computational results indicate that if a line energy (input energy per unit distance) remains constant the dilution will increase with time, especially at the beginning. Simulation results show that it is possible to control dilution in a certain range if the line energy decreases with time. Experiment of Nd: YAG laser cladding with wire feeding is performed. Experiment results coincide well with the FEM results.

• 대한전기학회:학술대회논문집
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• 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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• pp.87-90
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• 1988

This paper reports a simple posteriori error estimate method for adaptive finite element mesh generation using quadratic shape function especially for the magnetic field problems. The elements of quadratic shape function have more precise solution than those of linear shape function. Therefore, the difference of two solutions gives error quantity. The method uses the magnetic flux density error as a basis for refinement. This estimator is tested on two dimensional problem which has singular points. The estimated error is always under estimated but in same order as exact error, and this method is much simpler and more convenient than other methods. The result shows that the adaptive mesh gives even better rate of convergence in global error than the uniform mesh.

• 대한기계학회논문집B
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• 제28권4호
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• pp.395-405
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• 2004

The filling pattern and an adaptive grid refinement based on the finite element method and Eulerian mesh advancement approach have been developed to analyze incompressible transient viscous flow with free surfaces. The governing equation for flow analysis is Navier-Stokes equation including inertia and gravity effects. The mixed FE formulation and predictor-corrector method are used effectively for unsteady numerical simulation. The flow front surface and the volume inflow rate are calculated using the filling pattern technique to select an adequate pattern among four filling patterns at each triangular control volume. By adaptive grid refinement, the new flow field that renders better prediction in flow surface shape is generated and the velocity field at the flow front part is calculated more exactly. In this domain the elements in the surface region are made finer than those in the remaining regions for more efficient computation. Using the proposed numerical technique, the collapse of a water dam has been analyzed to predict flow phenomenon of fluid and the predicted front positions with respect to time have been compared with the reported experimental results.

• 한국전산구조공학회논문집
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• 제37권1호
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• pp.49-56
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• 2024

구조물의 동적 해석 자동화는 구조 통합 시스템에서 중요한 역할을 한다. 해석 결과에 따른 신속한 대피 또는 경고 조치가 신속하게 이루어지도록 해석 모듈은 짧은 실시간에 해석 결과를 출력해야 한다. 구조 해석법으로 세계적으로 가장 많이 사용되는 방법은 유한요소법이다. 유한요소법이 널리 사용되는 이유 중 하나는 사용의 편리다. 그러나 사용자가 유한요소망을 입력해야 하는데 요소망의 요소 수는 계상량과 정비례하고 요소망의 적절성은 에러와 연관된다. 본 연구는 시간 영역 동적 해석에서 전 단계 해석 결과를 사용하여 계산된 대표 변형률 값으로 오차를 평가하고, 요소 세분화는 절점 이동인 r-법과 요소 분할인 h-법의 조합으로 효율적으로 계산하는 적응적 요소망 형성 전략을 제시한다. 적용한 캔틸레버보와 간단한 프레임 예제를 통하여 적절한 요소망 형성, 정확성, 그리고 연산 효율성을 검증하였다. 이 방법의 간단함이 지진 하중, 풍하중, 비선형 해석 등에 의한 복잡한 구조 동적 해석에도 효율적으로 사용될 수 있는 것을 보여 준다.

• Structural Engineering and Mechanics
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• 제12권5호
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• pp.475-490
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• 2001

Remeshing strategies are formulated for r-adaptive and h/r-adaptive analysis of crack propagation. The relocation of the nodes, which typifies r-adaptivity, is a very cheap method to optimise a given discretisation since the element connectivity remains unaltered. However, the applicability is limited. To further improve the finite element mesh, a combined h/r-adaptive method is proposed in which h-adaptivity is applied whenever r-adaptivity is not capable of further improving the discretisation. Two and three-dimensional examples are presented. It is shown that the r-adaptive approach can optimise a discretisation at minimal computational costs. Further, the combined h/r-adaptive approach improves the performance of a fully r-adaptive technique while the number of h-remeshings is reduced compared to a fully h-adaptive technique.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2001년도 춘계학술대회 논문집 전기기기 및 에너지변환시스템부문
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• pp.167-170
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• 2001

A three dimensional adaptive finite element analysis algorithm is developed. In the method, the edge elements are used for field analysis, and the local error. In each element is estimated from the fact that the magnetic field should satisfy. The continuity condition at the interface of the two adjacent elements. Based on the estimated error, the elements which are considered to have big error are divided into several elements using the bisection method. The effectiveness of the developed algorithm is proved through numerical examples.

• Wind and Structures
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• 제1권1호
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• pp.111-125
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• 1998

This paper deals with the development of variable-node element and its application to the adaptive h-version mesh refinement-recovery for the incompressible viscous flow analysis. The element which has variable mid-side nodes can be used in generating the transition zone between the refined and unrefined element and efficiently used for the construction of a refined mesh without generating distorted elements. A modified Guassian quadrature is needed to evaluate the element matrices due to the discontinuity of derivatives of the shape functions used for the element. The penalty function method which can reduce the number of the independent variables is adopted for the purpose of computational efficiency and the selective reduced integration is carried out for the convection and pressure terms to preserve the stability of solution. For the economical analysis of transient problems in which the locations to be refined are changed in accordance with the dynamic distribution of velocity gradient, not only the mesh refinement but also the mesh recovery is needed. The numerical examples show that the optimal mesh for the finite element analysis of a wind around the structures can be obtained automatically by the proposed scheme.

• 한국전산구조공학회논문집
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• 제36권5호
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• pp.295-305
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• 2023

본 연구에서는 평활화 유한요소법(Smoothed finite element method)을 도입한 위상분야법(Phase-field method)에 대해 소개하고자 한다. 위상분야법은 최근 균열 개시 및 전파 해석에 많이 사용되는 기법으로 균열 표면을 추적하기 위한 추가적인 처리기법이 필요하지 않는 특징이 있다. 위상분야법에서 복잡한 균열 전파를 포착하기 위해 높은 정확도의 변형률 에너지를 평활화 유한요소법을 도입하여 계산하였다. 평활화 유한요소법은 유한요소를 하위 셀로 나누고 각각의 하위 셀을 평활화 영역으로 재조립하여 변형률 에너지를 계산하게 된다. 또한 해석 시간 단축을 위하여 쿼드트리 요소망을 제안한 기법에 사용하였다. 수치 예제를 통하여 제안한 기법을 참조해 및 유한요소법과 비교하여 검증하였다.