• Journal of Mechanical Science and Technology
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• 제20권10호
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• pp.1730-1740
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• 2006

A nodeless variables finite element method for analysis of two-dimensional, steady-state viscous incompressible flow is presented. The finite element equations are derived from the governing Navier-Stokes differential equations and a corresponding computer program is developed. The proposed method is evaluated by solving the examples of the lubricant flow in journal bearing and the flow in the lid-driven cavity. An adaptive meshing technique is incorporated to improve the solution accuracy and, at the same time, to reduce the analysis computational time. The efficiency of the combined adaptive meshing technique and the nodeless variables finite element method is illustrated by using the example of the flow past two fences in a channel.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2000년도 봄 학술발표회논문집
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• pp.371-378
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• 2000

In this study an adaptive node generation procedure in the Element-free Galerkin (EFG) method using bubble-meshing technique is proposed. Based on the error function that obtained by projected error estimation method, the initial node arrangement is defined along the background cell that is used in the numerical integration. To obtain the smooth nodal configuration, the nodal configuration are regenerated by bubble-meshing technique. This bubble meshing technique was originally developed to generate a set of well-shaped triangles and tetrahedra. Its basic idea is packing circles or spheres, called bubble, into the specified area or space naturally using some dynamic equations with attracting and repelling force. To demonstrate the performance of proposed scheme, the convergence behaviors are investigated for several problems.

• Tribology and Lubricants
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• 제36권5호
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• pp.262-266
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• 2020

Herein, we present a numerical investigation of wear analysis of sliding systems with a constant speed subjected to Archard's wear law. For this investigation, we compared two methods: eigen-wear analysis and adaptive meshing technique. The eigen-wear analysis is advantageous to predict the evolution of contact pressure due to wear using the initial contact pressure and contact stiffness. The adaptive meshing technique in finite element analysis is employed to obtain transient wear behavior, which needs significant computational resources. From the eigen-wear analysis, we can determine the appropriate element size required for finite element analysis and the time increment required for wear evolution by a dimensionless variable above a certain value. Since the prediction of wear depends on the maximum contact pressure, the finite element model should have a reasonable representation of the maximum contact pressure. The maximum contact pressure and wear amount according to this dimensionless variable shows that the number of fine meshes in the contact area contributes more to the accuracy of the wear analysis, and the time increment is less sensitive when the number of contact nodes is significantly larger. The results derived from a two-dimensional wear model can be applied to a three-dimensional wear model.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.85-94
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• 2002

본 연구에서는 Bubble Mesh 기법을 이용한 적응적 최적 절점생성기법을 제안하고 이를 Element-free Galerkin 방법에 적용하였다. 무요소방법에서 제안된 일반적인 적응적 절점배치방법의 경우 적분격자를 이용하기 때문에 그 절점의 분포가 평가된 오차를 정확히 반영하지 못하고 불균등한 세분화로 인해 주변 절점분포와 급격한 절점밀도의 차이를 보이게 되어 추가적인 해석오차를 유발한다. 본 연구에서는 평가된 오차의 분포와 적분격자를 따라 구성된 불균등한 초기절점배치를 최적삼각격자 구성기법인 Bubble Mesh 기법을 이용하여 최적화 시키는 적응적 절점구성기법을 제안하였다. 절점의 불균등한 배치에 따른 추가적인 오차의 발생현상을 보이기 위해 1차원 문제를 해석하였고 본 연구에서 제안된 Bubble Mesh 기법을 이용한 적응적 무요소해석법의 적용성을 보이기 위해 2차원 문제를 해석하였다.

• ETRI Journal
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• 제28권6호
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• pp.697-708
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• 2006

Various adaptive mesh refinement techniques are often employed in numerical simulations for increasing spatial and temporal resolution beyond the limits imposed by available CPU time and memory space. Recently, an octree-based adaptive mesh structure was successfully used in fluid animation to place more grid cells efficiently in visually interesting regions of fluids. In an attempt to optimize the use of computational resources further in fluid animation, this paper extends this adaptive technique by modifying the mesh refinement scheme so that the camera's viewing properties are dynamically exploited during the simulation. Based on a simple adaptive mesh structure, we show that the new meshing strategy can save a substantial amount of computation time and memory space by using a view-dependent adaptive approach. The experimental results reveal that the proposed technique provides a good compromise between the computational effort and the simulation's fidelity, and may be used quite effectively in 3D animation production.

• 소성∙가공
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• 제15권3호
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• pp.189-194
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• 2006

In this paper, an automated adaptive mesh generation scheme, based on an advancing-front-Delaunay method, is presented fur finite element simulation of three dimensional bulk metal farming processes. Basic approach is introduced in detail, including a surface meshing and volume meshing technique and a mesh density control scheme. The presented approach is applied to automatic forging simulation in order to evaluate the effect of the developed schemes. Comparison shows a good agreement between required mesh density and generated mesh density, implying that the presented approach is appropriate for automatic mesh generation in metal forming simulation.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제17권4호
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• pp.295-306
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• 2013

In this paper, we consider the adaptive multigrid method for solving the Black-Scholes equation to improve the efficiency of the option pricing. Adaptive meshing is generally regarded as an indispensable tool because of reduction of the computational costs. The Black-Scholes equation is discretized using a Crank-Nicolson scheme on block-structured adaptively refined rectangular meshes. And the resulting discrete equations are solved by a fast solver such as a multigrid method. Numerical simulations are performed to confirm the efficiency of the adaptive multigrid technique. In particular, through the comparison of computational results on adaptively refined mesh and uniform mesh, we show that adaptively refined mesh solver is superior to a standard method.

• 한국산학기술학회논문지
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• 제15권4호
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• pp.2428-2435
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• 2014

해상에 활용되는 계류앵커형식 중 한 종류인 석션 매입 앵커(Embedded Suction Anchor; ESA)의 점토지반에서 인발 저항력을 평가하기 위해 ALE(Arbitrary Lagrangian Eulerian) Adaptive Meshing기법을 적용한 수치해석을 수행하였다. 기존에 수행된 원심모형 실험과 한계 평형법을 이용한 해석적 방법의 결과와 비교 분석을 통해 수치해석 기법을 검증하고, 이를 이용해 앵커의 수평, 연직, 그리고 경사 방향의 인발 저항력을 평가하였다. 더불어 경사 방향의 재하 이전에 앵커를 경사각만큼 회전시켜 앵커에 수직한 방향으로 인발이 가해지도록 하여 그 거동을 평가하였다. 그 결과, 수평 재하 시 중간 위치에서 가장 큰 저항이 발휘되었고, 연직 재하의 경우 재하 위치에 따른 저항력의 차이가 크게 나타나지 않았다. 앵커의 중간 위치에서 경사 재하 결과 경사각이 증가할수록 인발 저항력이 감소하였으며, 초기회전이 있는 앵커의 경우 초기회전각이 30도 이하일 때 인발저항력이 일정한 결과를 보였다.

• 한국CDE학회논문집
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• 제18권6호
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• pp.461-469
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• 2013

Computer simulation with FEM is very useful to analyze hypervelocity impact phenomena that are tremendously expensive or otherwise too impractical to analyze experimentally. Shock physics can be efficiently handled by mesh adaptation which allows finite element mesh to be locally optimized to resolve moving shock wave in explosion. In this paper, an adaptive meshing technique based upon quadtree data structure was applied to resolve ballistic impact phenomena. The technique can adaptively refine a mesh in the neighborhood of a shock and coarsen the mesh for the smooth flow behind the shock according to a criterion. The criterion for refinement and coarsening is based upon the standard deviation of the gradient of shock pressure on the associated field. Shock simulation starts with the rough mesh of the pressure field and mesh density is increased locally under the criterion at each time step. The results show that the mesh adaptation enables to minimize the global computation error of FEM and to increase storage and computational saving compared to the fixed resolution of the conventional static mesh approach.

• Journal of Advanced Marine Engineering and Technology
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• 제24권5호
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• pp.33-41
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• 2000

Three dimensional flow fields around passenger car body was computed by PAM-FLOW, well-known and validated computer program for thermal and fluid analysis. Regarding the computational method, a Navier-Stokes solver based on finite element method with various turbulent models and adaptive grid technique (H-refinement)was adopted. The results were physically reasonable and compared with experimental data, giving good agreement. It was found that three dimensional flow simulation with H-refinement technique had potential for prediction of low fie이 around vehicle and the ability to predict vortex in the wake, which is vital for CFD to be used for automobile aerodynamic calculation.