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41.
A Novel VOF-Type Volume-Tracking Method for Free-Surface Flows Based on Unstructured Triangular Mesh 总被引:4,自引:3,他引:4
A novel VOF-type volume-tracking method for two-dimensional free-surface flows based on the unstructured triangular mesh is presented. Owing to the inherent merit of the unstructured triangular mesh in fitting curved boundaries, this method can handle the free-surface problems with complex geometries accurately and directly, without introducing any complicated boundary treatment or artificial diffusion. The method solves the volume transport equation geometrically through the Modified Lagrangian-Eulerian Re-map (MLER) method, which is applied to advective fluid volumes. Moreover, the PLIC method is adopted to give a second-order reconstructed interface approximation. To validate this method, two advection tests were performed for the establishment of the accuracy and convergence rate of the solutions. Numerical results for these complex tests provide convincing evidence for the excellent solution quality and fidelity of the method. 相似文献
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INTRODUCTIONThemethodofautomaticallygeneratinggeneralizedcurvilinearmeshesisaneffectivetoolforobtainingnumericalsolutionsofpartialdifferentialequationsinaregionwitharbitraryboundaries.Thegrids,calledadaptivemesh ,canbeadaptedtotheshapeoftheboundaryortothespatialdis tributionofthesimulatedfield .Insteadofthetraditionalequidistantgrids,automaticallyproducedcurvilineargrids,whichcanbeadaptedtotheequationsolutions’featuresandtotheirregularshapeofthelateralboundary,areused .Thenumericalcalcul… 相似文献
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In this study, 1D and 2D shallow-water models were coupled to simulate unsteady flow in channel networks and embayment. The 1D model solved the 1D shallow-water equations (St. Venant) using the Preissmann box method and targeted long narrow reaches of the river networks, while the 2D model targeted broad channels and embayment and solved the 2D shallow-water equations using a semi-implicit scheme applied to an unstructured grid of triangular cells. The 1D and 2D models were solved simultaneously by building a matrix for the free surface elevation at every 1D junction and 2D cell center. Velocities were then computed explicitly based on the results at the previous time step and the updated water level. The originality of the scheme arose from a novel coupling method. The results showed that the coupled 1D/2D model produced identical results as the full 2D model in classical to benchmark problems with considerable savings in computational effort. Application of the model to the Pearl River Estuary in southern China showed that complex patterns of tidal wave propagation could be efficiently modeled. 相似文献
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建立了基于无结构三角网格下采用有限体积法求解的二维水动力学模型,用于模拟溃坝洪水在复杂边界及实际地形上的流动过程。该模型采用Roe格式的近似Riemann解计算界面水流通量,结合空间方向的TVD-MUSCL格式及时间方向的预测-校正格式,可使模型在时空方向具有二阶计算精度。模型中引入最小水深概念,提出了有效的干湿界面处理方法。模拟了理想条件下溃坝水流过程,研究不同最小水深取值对干河床上洪水演进的影响,并用两组简单溃坝水流的水槽试验资料对模型进行验证。采用该模型模拟了实际溃坝洪水的流动过程,所得计算结果与实测资料及已有模型计算结果较为符合。 相似文献
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采用2013—2018年5—9月ECMWF细网格资料和阿勒泰地区36次短时强降水资料,用Micaps平台的模式探空模块计算T-log P图及其对流参数,运用统计学方法进行了误差检验。结果表明:模式探空T-log P图48 h预报时效内一致性较高(72%),尤其是24 h预报时效内(92%);72 h预报时效内总指数和干暖盖指数及垂直风切变、60 h预报时效内沙氏指数、48 h预报时效内风暴相对螺旋度和36 h预报时效内850与500 hPa温度差、对流温度、最大抬升指数、抬升指数以及24 h预报时效内K指数、700与850 hPa假相当位温差、大风指数等对流参数的3种误差均较小(3.5),相关系数较高(0.60),特别是沙氏指数、K指数、700与850 hPa假相当位温差、垂直风切变和风暴相对螺旋度的3种误差1.5。T-log P图的一致性随时效的延长而减小,对流参数的误差随预报时效的延长变化不一致,在强对流潜势预报业务中注意订正运用。 相似文献
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P-T grids for silica-undersaturated granulites in the systems MAS (n+ 4) and FMAS (n+ 3)-tools for the derivation of P-T paths of metamorphism 总被引:1,自引:0,他引:1
B. J. HENSEN 《Journal of Metamorphic Geology》1987,5(2):255-271
Abstract Considering the minerals cordierite (Cd), sapphirine (Sa), hypersthene (Hy), garnet (Ga), spinel (Sp), sillimanite (Si) and corundum (Co) in the system FeO-MgO-Al2 O3 -SiO2 (FMAS), the stable invariant points are [Co], [Ga], [Cd] and [Sa]. Constraints imposed by experimental data for the system MAS indicate that under low P H 2 o conditions the invariant points occur at high temperature (> 900° C) and intermediate pressure (7-10 kbar). This temperature is higher than that commonly advocated for granulite facies metamorphism. In granulites Fe-Mg exchange geothermometers may yield temperatures of 100–150° C below peak metamorphic conditions and evidence for peak temperatures is best preserved by relict high-temperature assemblages and by Al-rich cores in orthopyroxene. Application of the FMAS grid to some well-documented granulite occurrences introduces important constraints on their P-T histories. Rocks of different bulk compositions, occurring in close proximity in the field, may record distinct segments of their P-T paths. This applies particularly to rocks with evidence for reaction in the form of coronas, symplectites and zoned minerals. Consideration of curved reaction boundaries and XMs isopleths may explain apparently contradictory results for the stability of cordierite obtained from low-temperature experiments and thermochemical calculations on the one hand and hightemperature experimental data on the other. 相似文献
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非静力模式中几种垂直网格计算特性的对比研究 总被引:8,自引:0,他引:8
从非静力滞弹性方程组出发,将惯性重力波的水平波长分几百公里、几十公里和几公里三种情况,从频率、群速和各速的垂直尺度范围等方面对现有的几种垂直网格进行比较讨论。结果表明:在非静力模式中,CP网格和LZ网格适合于各种不同水平尺度惯性重力波的模拟;L网格和LY网格适合于水平尺度为几十公里以上的惯性重力波的模拟;LTS网格和CPTS网格比较适合于水平尺度的几十公里以下的惯性重力波的模拟。 相似文献
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