共查询到20条相似文献，搜索用时 125 毫秒
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介绍利用声学方法测量深海热液温度场的基本原理。对宽单峰、窄单峰和双峰温度场模型,采用最小二乘法和傅立叶正则化方法分别进行重建仿真,给出重建温度场的绝对误差、相对误差和均方根误差。比较最小二乘法与正则化方法对几种温度场模型的重建结果。仿真结果表明:最小二乘法对宽单峰模型温度场具有较高的重建精度,而正则化方法对高温区相对测量域偏小的窄单峰模型及双峰模型温度场比最小二乘法有更好的还原结果。 相似文献
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《中国海洋大学学报(自然科学版)》2017,(Z1)
主要考虑求解等式约束不定最小二乘校正问题。基于不定对称矩阵的反三角矩阵分解,给出了求解不定最小二乘更新问题的一种数值方法。该算法主要通过正交相似变换将对应的增广矩阵化为块下反三角形式,使得原线性系统变得更易于求解,同时也给出了原问题和校正问题的解之间的关系。数值实验表明本文给出的数值方法是有效的,可以得到较精确的近似解。 相似文献
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为满足当前港口工程对精细化潮流预报的需求,通过比较准调和分析、流体动力——数学模型、最小二乘法三种潮流预报方法,认为最小二乘法的调和分析方法最为适用于小尺度水域的潮流预报。该方法选择以定点及漂流观测获取码头前沿水域的实测流况资料,通过分析实测资料,了解所在水域的潮流特征,再结合最小二乘法调和分析,对前沿水域进行定点的潮流预报。 相似文献
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刘新国 《中国海洋大学学报(自然科学版)》1996,(2)
本文系统地研究具二次约束最小二乘问题的敏度分析。首先给出长期方程唯一正根的上界和下界；然后证明割线法用于计算拉格朗日乘子时全局收敛；最后给出解的扰动界。 相似文献
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数字高程模型（DEM）是描述地表起伏形态特征的空间数据模型。DEM完全可以代替传统使用等高线对地形表面的描述，进而满足对等高线数据相同的各种需求。内插是DEM的核心问题，它是DEM各种应用的基础。介绍了加权最小二乘曲面拟合法构建规则格网DEM的理论和方法。试验结果表明：加权最小二乘曲面拟合算法具有插值结果较精确、处理效率较高和模拟地表效果较好等优点。 相似文献
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This paper conducts laboratory tests to investigate detailedly the soil deformation law around the pipeline and its penetration depth under self-gravity. The seabed model is prepared by consolidating saturated soil using vacuum pressure technology, and the pipeline models are specifically designed to possess different radii. Based on the experimental results and digital images, the soil deformation process is analyzed and summarized, a kinematic admissible velocity field is given and an upper bound solution of pipeline penetration depth and soil reaction force is derived and proposed in this paper. In order to verify the accuracy of the upper bound solution deduced in this paper,a comparison is made among some published results and the solution suggested in this paper, the comparison results confirm that the upper bound solution and the soil failure mode are reasonable. Finally two empirical formulas are given in this paper to estimate the soil reaction force of seabed and the penetration depth of pipeline. The empirical formulas are in agreement with the upper bound solution derived in this paper, and the conclusion of this paper could provide some theoretical reference for the further study of the interaction between the pipeline and the soil. 相似文献
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含有腐蚀缺陷海底管道极限载荷分析 总被引：8，自引：0，他引：8
利用有限元弹塑性分析方法,对含有腐蚀缺陷的海底管道进行材料非线性和几何非线性分析,探讨了确定管道极限载荷的准则。在此基础上,给出含有腐蚀缺陷的海底管道的极限载荷,研究腐蚀长度、深度和宽度对海底管道极限载荷的影响,提出了含有腐蚀缺陷的受内压的海底管道的极限载荷计算公式,并与试验结果进行了比较,证明该方法是有效的。 相似文献
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Dobrovol'skaya [1] presented a similarity solution for the water entry of symmetrical wedges with constant velocity. The solution involves an integral equation that becomes increasingly harder to numerically solve as the deadrise angle decreases. Zhao and Faltinsen [2] were able to present reliable results for deadrise angles down to 4°. In this paper, Zhao and Faltinsen's results are improved and reliable results for deadrise angles down to 1° are confirmed by comparing to the asymptotic solutions at small deadrise angles and the solutions by the traditional boundary element method at relatively large deadrise angles. The present similarity solution results provide a reference solution in theoretical studies of water entry problems and in developing accurate numerical solvers for simulating strongly nonlinear wave–body interactions, which flows are governed by Laplace equation or Euler equation. 相似文献
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基于一维阻尼潮波传播方程解析解,从求解数值格式及Heuristic稳定性分析方面,讨论了数值解的精度、计算耗时和摩阻系数选取等问题。研究结果表明:1)Courant数小于1时,潮波方程显格式解的精度略高于隐格式解,计算耗时少于隐格式解;2)为减少计算耗时,潮波方程的隐格式解允许较大的时间步长,但解的精度有所降低,须通过减小底床摩阻系数以保证计算精度;3)隐格式解摩阻系数的选取与Courant数有关,Courant数越大,摩阻系数的选取值比实际值越小,通过理论分析结合数值试验得到了相应的关系式。这些研究结论对实际海域的潮波传播的数值模拟具有重要的应用价值。 相似文献
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讨论一类推广的具竞争扩散Lotka—Volterra系统，利用微分不等式，证明了该系统概周期解的存在唯一性及其在壳扰动下的稳定性；推广和改进了秦发金、罗桂烈等在Lotka—Volterra系统概周期解的结果。 相似文献
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Phenomenological and global optimization inversion 总被引：1，自引：0，他引：1
Gerstoft P. Hodgkiss W.S. Kuperman W.A. Heechun Song 《Oceanic Engineering, IEEE Journal of》2003,28(3):342-354
This paper discusses geoacoustic inversion results based on benchmark range-dependent data using SAGA, a global inversion package, and using phenomenological inversions. In phenomenological inversions, physical and signal-processing approaches are used to enhance the data to extract specific features. The global optimization approach is carried out on complex-valued vertical array data, transmission loss data, and reverberation data. The importance of checking the solution is emphasized by inspecting the match with the data and the error estimates and by checking the solution using data that has not been used in constructing the solution. The results show that we are able to estimate the geoacoustic parameters and that these parameters could be used to predict the field for different frequencies and/or source-receiver geometry than used in the inversion. 相似文献
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基于同量阶迭代法，在保留同阶面的前提下，对林建国等（1998a)得到的二阶Boussinesq类方程进行了求解，得到了与其量阶相对应的取立波解，并春与Euler方程的二阶孤立波解进行了比较，结果显示，本文解比传统Boussinesq方程的孤立波解有明显的改善，扩大了孤立的适用范围。 相似文献
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此文应用Fourier方法和能量不等式研究了常系数和变系数的对流扩散方程在迎风差分格式的情形下数值解的稳定性,所得结果对实际计算有着重要的意义。 相似文献