• Title/Summary/Keyword: 수치해적

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Use of a Solution-Adaptive Grid (SAG) Method for the Solution of the Unsaturated Flow Equation (불포화 유동 방정식의 해를 위한 해적응격자법의 이용 연구)

  • Koo, Min-Ho
    • Journal of the Korean Society of Groundwater Environment
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    • v.6 no.1
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    • pp.23-32
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    • 1999
  • A new numerical method using solution-adaptive grids (SAG) is developed to solve the Richards' equation (RE) for unsaturated flow in porous media. Using a grid generation technique, the SAG method automatically redistributes a fixed number of grid points during the flow process, so that more grid points are clustered in regions of large solution gradients. The method uses the coordinate transformation technique to employ a new transformed RE, which is solved with the standard finite difference method. The movement of grid points is incorporated into the transformed RE, and therefore all computation is performed on fixed grid points of the transformed domain without using any interpolation techniques. Thus, numerical difficulties arising from the movement of the wetting front during the infiltration process have been substantially overcome by the new method. Numerical experiments for an one-dimensional infiltration problem are presented to compare the SAG method to the modified Picard method using a fixed grid. Results show that accuracy of a SAG solution using 41 nodes is comparable with the solution of the fixed grid method using 201 nodes, while it requires only 50% of the CPU time. The global mass balance and the convergence of SAG solutions are strongly affected by the time step size (Δt) and the weighting parameter (${\gamma}$) used for generating solution-adaptive grids. Thus, the method requires automated readjustment of Δt and ${\gamma}$ to yield mass-conservative and convergent solutions, although it may increase computational costs. The method can be effective especially for simulating unsaturated flow and other transport problems involving the propagation of a sharp-front.

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A study on the Accurate Comparison of Nonlinear Solution Which Used Tangent Stiffness Equation and Nonlinear Stiffness Equation (접선 강성방정식과 비선형 강성방정식을 이용한 비선형 해의 정확성 비교에 관한 연구)

  • Kim, Seung-Deog;Kim, Nam-Seok
    • Journal of Korean Association for Spatial Structures
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    • v.10 no.2
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    • pp.95-103
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    • 2010
  • This paper study on the accuracy improvement of nonlinear stiffness equation. The large structure must have thin thickness for build the large space structure there fore structure instability review is important when we do structural design. The structure instability of the shelled structure is accept it sensitively by varied conditions. This come to a nonlinear problem with be concomitant large deformation. Accuracy of nonlinear stiffness equation must improve to examine structure instability. In this study, space truss is analysis model Among tangent stiffness equation and nonlinear stiffness equation is using nonlinearity analysis program. The study compares an analysis result to investigate accuracy and convergence properties improvement of nonlinear stiffness equation.

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Three Dimensional Analysis Using Digital Elevation Model on the Coastal Landform of the Sacheon Bay, South Sea of Korea (수치고도 모델을 이용한 사천만 해안지역의 3차원 지형분석)

  • Lee, Min-Boo;Kim, Nam-Shin;Han, Kyun-Hyeung
    • Journal of the Korean association of regional geographers
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    • v.9 no.2
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    • pp.203-216
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    • 2003
  • The process of constructing coastal digital elevation model(DEM), for the 3 dimensional analysis, is composed by abstracting land layers for land elevation and water depth, reprojecting UTM, relocating geographical grid, and interpolating works. The geomorphic set of shallow sea, including tidal current, tidal zone deposition, and water depth distribution, was analyzed by eye search of Landsat TM image, masking of land zone, band combination and regression analysis. Some horizontal differences, between combined DEM and surveyed data of shallow sea, was corrected for analysis. Analyzed geomorphic elements are stream channel, alluvial fan, coastal terrace, tidal current. and shallow sea bank. Results of analysis present that transported fluvial materials influence tidal sedimentation, especially from Gahwacheon river, for the role of artificial draining flooding waters from Jinyang Reservoir, almost in the summer season. In the coastal area with less tidal current, more fine materials are deposited. The influence of currental deposition are higher on small pockets with west coast of well developed terraces. The lower skirt of alluvial fans developed into the tidal zone of shallow sea. Small pocket type bays are closed by coastal current, and less influenced from tidal deposition. The bank of Jinju Bay are developed originally from submerging of remnant erosional mountain ranges, and play on the role of trapping fine materials.

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Studies on the Relationship Between the Contents of Absorbed Alkaline Elements and Acidity Level in Sand Medium by Some Pine Species (I) -Different pH levels of Sand Medium and Absorbed Sodium Contents- (국내재식(國內栽植) Pinus속(屬) 사경(砂耕)에서의 흡수염기류(吸收鹽基類)와 배지(培地) 산도(酸度)와의 관계(關係)에 대한 연구(I) -Sodium의 흡수축적량(吸收蓄積量)과 배지산도(培地酸度)에 대하여-)

  • Son, Won Ha
    • Journal of Korean Society of Forest Science
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    • v.35 no.1
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    • pp.56-60
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    • 1977
  • This experiment was conducted to determine the responses of some pine species to acidity of cultured soils, and absorption behavior of alkaline elements and to observe the growth characteristics during afforesting period. The results were summarized as follows. 1. Total dry weight indicating growth volume was not much influenced by the acidity of cultured soils (pH 4~8) in all of the 4 species studied. Pinus koraiensis showed more dry weight than any other species, which indicated statistically significant difference. 2. T-R ratio of dry weight was not much affected by the acidity of cultured soils (pH 4~8) and the difference of cultured soils (pH 4~8) and by species. Growth phase also did not show remarkable change through the experiment period. 3. The average sodium content ratio in the plant body had no correlation with cultured soils (pH 4~8), bue significant differences were recognized among species statistically. 4. It was found that sodium content ratio was not much influenced by the cultured soils (pH 4~8), even when the tops and roots were separately analyzed. But, very significant difference was found among the species. Pinus koraiensis especially, showed greater volume growth maintaining low sodium content ratio than any other species, which indicates that Pinus koraiensis has unfavorable characteristics for growing on the seaside.

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A Study on the Establishment of Disc Braking Force Pattern to reduce the Wear Mass of Pad (패드 마모량 감소를 위한 디스크 제동력 패턴 설정에 관한 연구)

  • Kim, Seog-Won;Kim, Young-Guk;Kim, Ki-Hwan
    • Proceedings of the KSR Conference
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    • 2007.05a
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    • pp.786-791
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    • 2007
  • Korean high speed train(HSR-350x) has adopted a combined electrical and mechanical(friction) braking system. Brake blending control unit(BBCU) controls each brake system to fulfill the required brake performances such as braking distance, deceleration and jerk. Also the braking system should be designed considering the economical management, such as effective use of generated braking energy and the minimum wear of friction materials(a pad and a brake shoe). In this paper, we establish the disc braking force pattern that reduces the wear of pad in the disc braking system by minimizing the variance of the instantaneous disk baking energy during braking time, and compare the wear mass of pad between the conventional disc braking force pattern and the established results.

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