• Title/Summary/Keyword: Mesh Size

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A Study for pointwise by a 1-irregular mesh (1-irregular mesh를 이용한 편미분 방정식의 수렴성에 관한 연구)

  • Lee Hyeong;Jin Gi Beom
    • The Mathematical Education
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    • v.31 no.2
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    • pp.121-132
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    • 1992
  • The pointwise convergence define the relation-ship between the mesh-size and the tolerance. This will play an important role in improving quality of finite element approximate solution. In this paper, We evaluate the convergence on a certaon unknown point with a 1-irregular mesh refinement. This m that the degree of freedom is minimized within a tolerance.

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Is it shear locking or mesh refinement problem?

  • Ozdemir, Y.I.;Ayvaz, Y.
    • Structural Engineering and Mechanics
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    • v.50 no.2
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    • pp.181-199
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    • 2014
  • Locking phenomenon is a mesh problem and can be staved off with mesh refinement. If the studier is not preferred going to the solution with increasing mesh size or the computer memory can stack over flow than using higher order plate finite element or using integration techniques is a solution for this problem. The purpose of this paper is to show the shear locking phenomenon can be avoided by increase low order finite element mesh size of the plates and to study shear locking-free analysis of thick plates using Mindlin's theory by using higher order displacement shape function and to determine the effects of various parameters such as the thickness/span ratio, mesh size on the linear responses of thick plates subjected to uniformly distributed loads. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. In the analysis, 4-, 8- and 17-noded quadrilateral finite elements are used. It is concluded that 17-noded finite element converges to exact results much faster than 8-noded finite element, and that it is better to use 17-noded finite element for shear-locking free analysis of plates.

A Numerical Study of laminar vortex-shedding past a circular cylinder (원형 Cylinder 주위의 Vortex Shedding에 관한 수치 해석 연구)

  • Kim T. G.;Hur N.
    • 한국전산유체공학회:학술대회논문집
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    • 2000.05a
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    • pp.33-38
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    • 2000
  • A Numerical study of laminar vortex-shedding past a circular cylinder has been performed widely by many researchers. Many factors, such as numerical technique and domain size, number and shape of grid, affected predicting vortex shedding and Strouhal number. In the present study, the effect of convection scheme, time discretization methods and grid dependence were investigated. The present paper presents the finite volume solution of unsteady flow past circular cylinder at Re=200, 400. The Strouhal number was predicted using UDS, CDS, Hybrid, Power-law, LUDS, QUICK scheme for convection term, implicit and crank-nicolson methods for time discretization. The grid dependence was investigated using H-type mesh and O-type mesh. It also studied that the effect of mesh size of the nearest adjacent grid of circular cylinder. The effect of convection scheme is greater than the effect of time discretization on predicting Strouhal. It has been found that the predicted Strouhal number changed with mesh size and shape.

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Shannon Entropy as an Indicator of the Spatial Resolutions of the Morphologies of the Mode Patterns in an Optical Resonator

  • Park, Kyu-Won;Kim, Jinuk;Moon, Songky
    • Current Optics and Photonics
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    • v.5 no.1
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    • pp.16-22
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    • 2021
  • We present the Shannon entropy as an indicator of the spatial resolutions of the morphologies of the resonance mode patterns in an optical resonator. We obtain each optimized number of mesh points, one of minimum size and the other of maximum one. The optimized mesh-point number of minimum size is determined by the identifiable quantum number through a chi-squared test, whereas the saturation of the difference between Shannon entropies corresponds to the other mesh-point number of maximum size. We also show that the optimized minimum mesh-point increases as the (real) wave number increases and approximates the proportionality constant between them.

On the Feasibilty of Milled Sanders as a New Extender for Plywood Glue (합판접착제용(合板接着劑用) 미세목분증량제(微細木粉增量劑)에 관(關)한 연구(硏究))

  • Ahn, Kee-Woo
    • Journal of the Korean Wood Science and Technology
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    • v.1 no.2
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    • pp.3-10
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    • 1973
  • This study was carried out to examine the characeristics of waste sanders(S)from. plywood and pre-finishing plywood surface sanding and double saw finishing, as a new extander in urea-formaldehyde resin(UFR) in plywood adhesive, and to focus, adhesive strength using the glue extended with milled sanders(MS) as extender, leveling the optimum amount of MS to be added, and examining the physical properties of glue extended MS & S. Also economical good feasibility of substitution for wheat flour(WF) with MS as a new extender is analyzed and presented in details. Selecting three standard samples of 80, 100 and 180 mesh, sorking them in distilled water at $20^{\circ}C$, 24 hours, redrying at $105^{\circ}C$ and rescreening the sample with standard screen, again, the 3 samples of 80, 100, and 180 mesh are passed 23 percent through 80 mesh sander standard sample 27 percent through on 100 mesh and only 10.9 percent through 180 mesh, respectively. The particle size of retained parts are greater in size of redried form. It seems undoubtly that particles to be extended in glue are got swollen and become greater in size and coarser in shape. The shape of fresh S particles are irregular thin needle with small scale, as shown in Figure 5. PFS are so finer than plywood S that only 9.8 percent of the S retained on 100 mest screen, 24. 30 percent on 100-160 mesh, and 65.9% on 160-180 mesh. But particle size of the fresh S is large enough to make the viscosity of glue direct extended with S too high to apply it glue spreader. The glue extended with milled sanders(MS). 3 hours milled PFS or 6 hours milled plywood S, having particle sizes shown in Tables 7 and 8, as ratio of Reain/MS/WF/water: 100/8/8/10, indicate good viscosity of 16 to 24 ps, as shown in Figure 5, for applying direct to glue spreader, have high tensile-shear strength (adhesive strength), 102.4 kp/$cm^2$, and 94 percent wood failure.

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Mesh Selectivity of the Gill Net for Anchovy, Engraulis japonica (멸치 자망의 망목선택성에 관하여)

  • SOHN Tae Jun
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.18 no.6
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    • pp.506-510
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    • 1985
  • It is an important work to determine the mesh size of gill net for efficient catch. For investigating the suitable mesh size, the gill net for anchovy, Engraulis japonica was made and operated in the bay of Ulsan in July. 1983. The gill net for anchovy was composed of six different mesh size, 23.1mm (H=0.65), 21.6mm (H=0.65), 20.0mm (H=0.65), 23.1mm (H=0.55), 21.6mm (H=0.55) and 20.0mm(H=0.55). The parts of body caught by the gill net was examined, and the selectivity curves (for reference Ishida's method) with respect to the each mesh size were estimated using the data obtained through the operation of research gill net. The main results of this study are as follows: 1. The number of anchovy whose neck was in net was 148, more than $90\%$ of all, 161 2. The coefficient of relationship between the circumference of neck and the fork length were 0.70. 3. Fork length that the relative fishing efficiency of 23.1 mm mesh size (H=0.55) was maximum value was about 11.1 centimeter.

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Development of a Criterion for Efficient Numerical Calculation of Structural Vibration Responses

  • Kim, Woonkyung M.;Kim, Jeung-Tae;Kim, Jung-Soo
    • Journal of Mechanical Science and Technology
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    • v.17 no.8
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    • pp.1148-1155
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    • 2003
  • The finite element method is one of the methods widely applied for predicting vibration in mechanical structures. In this paper, the effect of the mesh size of the finite element model on the accuracy of the numerical solutions of the structural vibration problems is investigated with particular focus on obtaining the optimal mesh size with respect to the solution accuracy and computational cost. The vibration response parameters of the natural frequency, modal density, and driving point mobility are discussed. For accurate driving point mobility calculation, the decay method is employed to experimentally determine the internal damping. A uniform plate simply supported at four corners is examined in detail, in which the response parameters are calculated by constructing finite element models with different mesh sizes. The accuracy of the finite element solutions of these parameters is evaluated by comparing with the analytical results as well as estimations based on the statistical energy analysis, or if not available, by testing the numerical convergence. As the mesh size becomes smaller than one quarter of the wavelength of the highest frequency of interest, the solution accuracy improvement is found to be negligible, while the computational cost rapidly increases. For mechanical structures, the finite element analysis with the mesh size of the order of quarter wavelength, combined with the use of the decay method for obtaining internal damping, is found to provide satisfactory predictions for vibration responses.

A Study on Grid Size and Generation Method for Fire Simulations for Ship Accommodation Areas (선박 거주구역 화재시뮬레이션을 위한 격자크기와 생성방법에 관한 연구)

  • Kim, Byeol;Hwang, Kwang-Il
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.23 no.7
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    • pp.791-800
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    • 2017
  • For fires in ship accommodation areas, if it is possible to predict the pattern in which fire will spread and suggest proper countermeasures according to a situation using a fire simulation tool, fire damage may be reduced. However, fire simulations have a practical limit: a significant amount of time is required to analyze the results due to the size of the computational domain and the number of grids. Therefore, in this study, applicable grid size for fire simulations to predict fire patterns in ship accommodation areas was analyzed, and a generation method was conducted to predict fire behavior in real time. As a result, a value within 0.25[m] was judged appropriate as an applicable grid size for ship accommodation areas. Also, in comparison with studies using a single mesh generation method, the visibility value was similar, within 4.3 %, as was the temperature value, within 8.3 %, when a multi mesh generation method was used, showing a decline of 80 % in analysis time. Therefore, it was confirmed that composing a grid using multi mesh was effective for reducing analysis time.

Numerical Study on Effect of Mesh Size on Vibration and Overpressure Propagation Induced by Underwater Blasting (수중발파로 인한 과압 및 진동 전파에서 메쉬크기의 영향에 대한 수치해석 연구)

  • Jeong, Hoyoung;Son, Hanam;Kim, Suhan;Kim, Yeolwoo
    • Tunnel and Underground Space
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    • v.31 no.6
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    • pp.578-592
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    • 2021
  • This study performed to investigate the propagation characteristics of overpressure, impulse, vibration in underwater blasting. The difference between air blasting and underwater blasting is that noise and vibration propagate through water as a medium. In some cases, the noise and vibration propagates through various media (rock, water, air, etc.). In this study, the underwater blasting was simulated using AUTODYN, and the propagation characteristics of overpressure, impulse and vibration induced by blasting were analyzed. We mainly focused on the effect of mesh size on the overpressure, impulse and peak particle velocity from the underwater blasting simulation. The numerical results indicated that the overpressure and peak particle velocity tended to decrease as the mesh size increased, while the impulse increased with the mesh size. The results also indicated that the mesh dependence varied depending on the explosive charge and scaled distance.

Comparison of fishing efficiency on octopus traps to reduce bycatch in the East Sea (혼획저감형 동행안 문어통발의 어획효율 비교)

  • Shin, Jong-Keun;Cha, Bong-Jin;Park, Hae-Hoon;Cho, Sam-Kwang;Kim, Hyun-Young;Jeong, Eui-Cheol;Kim, Yeong-Hye;Kim, Bu-Young
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.44 no.1
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    • pp.1-9
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    • 2008
  • This study aims to reduce the bycatch of young fishes and other species in the octopus(Octopus vulagris, Octopus dolfleini) trap fishery on the East Sea, Korea. We carried out field experiments and tank experiments to verify the fishing efficiency and bycatch with the different 8 types of trap. 4 of them had mesh size 20, 35, 55 respectively and 75mm, 2 of them with escape ring of diameter 30mm and 50mm and 2 of them with escape device. The gap was 20 and 40mm respectively. The mesh sizes of the traps with ring and frame were 20mm. The traps with mesh size 20 and 35mm were not reasonable because it could fish under 300g octopus as bycatch which is not permitted by the Korean fisheries regulations. The catch number of octopus over 300g by traps with escape ring of diameter 30mm was 53. The catch of trap with mesh size 20mm was 54. The catch of trap with mesh size 35mm was 53. There is no significant difference among them. The catch number of octopus over 500g that is fishermen's favorite one was 46 in the trap with escap ring. The diameter of was 30 mm and the catch of trap with mesh size 20mm was more 3 catch and the catch of trap with mesh size 35mm had 6 more catch. Fishermen wanted to catch over 500g octopus because the octopuses had commercial value. The traps with escape ring can be replaceable with he traps with mesh size 20 or 35mm because the trap is suitable to conserve the octopus resources and keep the fishermen's fishing substantiality.