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1.
本文给出了一种在不规则四边形网格上求解地下水非稳定流方程的混合拉氏变换局部坐标有限分析格式。由于将时间t直接包含在有限分析数值计算格式中,克服了传统数值法求解非稳定过程按时段迭代的缺陷,实现了非稳定过程计算的一步完成,提高了计算效率,这对多时段地下水资源管理和长期预报非常有用。经实例验证,本方法有很高的精度,与解析解吻合甚好。  相似文献   

2.
基于n为正整数,Φ(n)为Euler函数,s(nt)为Smarandache函数的条件下,利用高效的数论相关方法和Smarandache函数的性质,研究了数论方程(n)=s(nt)。在前人分别对t=1,2,3,4,5,6,7时都进行了求解、研究和讨论的背景下,选择在t=9时,对数论方程Φ(n)=s(n9)进行求解和研究。利用对n9进行素因子分解,再对正整数n的素因数p,以及p在n中的次数分别进行详细地讨论,将一个十分复杂的数论方程Φ(n)=s(n9),分别化解成各个简单的等式,从而求得方程Φ(n)=s(n9)的整数解n=1,且方程有且仅有此解。同时在计算过程中,发现并指出一篇参考文献中的一个错误,通过缜密地计算,给出自己的结果。  相似文献   

3.
本文简单介绍一维平面平行大气多次散射辐射传输方程的一些解法,包括在chandrasekhar(1960)的基础上建立起来的经典的解析解,以及一些标准的数值解法和近似解法。并详细地讨论一种精确的数值解法,即adding/doubling method的一些数值问题、诸如adding/doubling方程,初始层的计算,Fourier级数展开,相函数的计算,以及非均匀大气的处理等。又给出了应用复角动量理论和doubling method求解卷云层中一些VAS红外通道的透射函数随云中光学厚度变化的特征,及其在卫星遥感中潜在的应用。  相似文献   

4.
在应用中(如数值天气预报等),经常需要对时空偏微分方程进行数值求解,通常大多采用有限差分计算或有限元法,虽然它们是应用得最广的数值解法(如差分方法),但也有某些局限和不足,本文提出了一种边界元积分方程法。作为示例,我们对扩散方程的初边值问题进行了基本原理和方法的讨论,其基本思想是通过积分变换,消除对时间的依赖性,再在变换空间中,用边界元法对积分后的方程进行数值处理,最后用数值逆变换以完成该问题的数值求解,本方法可对更为复杂的依赖于时间的方程进行类似处理,它具有不同于传统有限差分法和有限单元法特点的优越性,可供有关工作者解初边值问题试用和参考。  相似文献   

5.
渗流域内应用拉普拉斯变换(LT)建立相应的有限分析(FAM)方程,顾及渗流域内地下水流的初始条件和边界条件,可在LT空间构成一个封闭的以水头像函数为变量的线性方程组。将此方程组所得的解,通过Stehfest数值反演公式,可归化为时间域的解(水头)。由于时间t被隐含在数值方程内,从而克服了传统数值法按时段(△t)逐步迭代的缺陷,提高了计算效率,也为用嵌入法建立地下水流管理模型提供了一条捷径。  相似文献   

6.
用于求解地下水运动偏微分方程,只限于研究地下水变化的方程是不够的,还应具有说明地下水运动具体状态的初始值和边值这些附加的条件——地下水运动方程的定解条件。地下水运动方程定解条件的初值一般是从地下水观测中获得,而边值的确定则是在函数式的选择下进行的。根据确定一类边界的函数式,结合地下水的运动规律,总结沈阳地区十年期一类边值问题的构成,完成了一类边界处理,并确认为一稳定性状态,所测数值的十年期预测计算是一收敛过程。  相似文献   

7.
给出一类含函数核的奇异积分方程,通过构造辅助函数,将这类含函数核的奇异积分方程转化为相应的双周期黎曼边值问题,进而讨论双周期黎曼边值问题的可解条件、一般解,得到封闭曲线情况下奇异积分方程的求解问题,给出其一般解、可解条件和可解性Noether理论.  相似文献   

8.
成矿动力学数值模拟以数学、物理及化学的基本规律为原理,结合实际地质资料,建立定量表征成矿过程的数学模型(数学-物理方程),再利用有限元或有限差分等方法通过计算机的高效计算进行求解,模拟成矿作用动力学过程及其成矿响应,揭示成矿规律并指导找矿。它集合了地质、数学、物理、化学及计算机等多个学科的研究理论与方法,具有鲜明的多学科交叉融合的特点。近年来,在计算科学与数学地质理论与方法快速发展的推动下,成矿动力学数值模拟研究取得了重要研究进展。为此,归纳和梳理了成矿动力学数值模拟的基本理论与方法,对比了目前4种常用的(成矿)数值模拟软件的特点,结合当前开展这方面研究所取得的进展,介绍了近10年来成矿动力学数值模拟的发展与应用现状。得出以下主要结论与认识:(1)多场耦合成矿动力学数值模拟是当前能够重现大尺度复杂成矿过程的唯一可行方法,随着高性能计算技术与非线性动力学理论的快速发展与日趋完善,它已成为现代数学地球科学的研究热点和发展方向之一,是揭示成矿机制及获取矿产勘查信息的重要手段,具有很大的发展潜力;(2)成矿动力学数值模拟目前仍存在模拟参量不确定、多场过程耦合不完全等局限性,是其未来的发展重点,...  相似文献   

9.
基于齐次平衡法的思想,利用高效的G′G展开法,求解了修正的Benjamin-Bona-Mahoney(BBM)方程。修正的BBM方程是一个同时含有耗散和色散的非线性偏微分方程,求解难度大。利用对方程解的合理假设和G′G展开法可以将其约化为一个复杂的非线性代数方程组,借助数学软件Maple符号运算功能的帮助成功地求解了该非线性代数方程组,从而求得修正的BBM方程的精确解。这些解中包含3组更具有一般性质的精确解,它们分别是双曲函数解、三角函数周期解、有理数解。这些解对于研究方程的物理性质及物理现象有很重要的意义。为了能够更直观地理解这几组行波解,给出了相应的解的数值模拟图。  相似文献   

10.
高精度曲面建模的一种快速算法   总被引:1,自引:0,他引:1  
 高精度曲面建模(HASM)是一种全新的曲面建模方法,其整个过程可分为偏微分方程的离散、采样方程建立和代数方程组求解3个阶段。目前所采用的求解对称正定方程组的方法主要是共轭梯度法。为了解决HASM的计算速度问题,本文给出了2种新的预处理共轭梯度算法,分别为不完全Cholesky分解共轭梯度法和对称逐步超松弛预处理共轭梯度法。实验表明,不完全Cholesky分解共轭梯度法收敛速度最快,且这2种预处理方法均比其他方法具有更快的收敛速度。  相似文献   

11.
12.
The ability of cell to modulate the fluidity of plasma membrane was crucial to the survival of microorganism at low temperature. Plasma membrane proteins, fatty acids and carotenoids profiles of Antarctic psychrophilc yeast Rhodotorula sp. NJ298 were investigated at -3 ℃, 0 ℃ and 8 ℃. The results showed that plasma membrane protein content was greater at -3 ℃ than that at 8 ℃, and a unique membrane polypeptide composition with an apparent molecular mass of 94.7 kDa was newly synthesized with SDS-PAGE analysis; GC analysis showed that the main changes of fatty acids were the percentage of unsaturated fatty acids (C18∶ 1 and C18∶ 2) and shorter chain saturated fatty acid (C10∶ 0) increased along with the decrease of the culture temperature from 8 ℃ to -3 ℃; HPLC analysis indicated that astaxanthin was the major functional carotenoids of the plasma membrane, percentage of which increased from 54.6±1.5% at 8 ℃ to 81.9±2.1% at -3 ℃. However the fluidity of plasma membrane which was determined by measuring fluorescence anisotropy was similar at -3 ℃, 0 ℃ and 8 ℃. Hence these changes in plasma membrane's characteristics were involved in the cellular cold-adaptation by which NJ298 could maintain normal plasma membrane fluidity at near-freezing temperature.  相似文献   

13.
正1 Aims and Scope Advances in Polar Science(APS)is an international,peer-reviewed journal jointly sponsored by the Polar Research Institute of China and the Chinese Arctic and Antarctic Administration.APS is a comprehensive academic journal dedicated to presentation of multi-disciplinary achievements in Arctic and Antarctic expeditions and research.Its primary purpose  相似文献   

14.
<正>Copyright Submfnion of a roanusatpt inks:that the work described has not been published before(exoept In the form of an abstrW or as part of a published lecture,review,or thesis);that it is not under consideration for publication elsewhere that its publication has been approved by ail  相似文献   

15.
<正>The Journal of Ocean University of China(Oceanic and Coastal Sea Research)is a comprehensive academic quarterly sponsored by the Ocean University of China,published one volume per year.This journal is devoted to the publication of the theoretical and applied research results on oceanography and marine fisheries.The fieldcovered include the physical,chemical,biological,geo-  相似文献   

16.
<正>The 35th IAHR World Congress was held in Chengdu,China from September 8 to September 132013.The title of the conference was:"The Wise Finds Pleasure in Water:Meandering through Water Science and Engineering".During the congress,1239 papers were presented in 139sessions for oral presentations and 7 sessions for poster presentations.After the Congress,a Committee was appointed to select some of the best papers presented at the Congress for publication,after a  相似文献   

17.
As an important component of the cryosphere,sea ice is very sensitive to the climate change.The study of the sea ice physics needs accurate sea ice thickness.This paper presents an electromagnetic-induction(EM) technique which can be used to measure the sea ice thickness distribution efficiently,and the successful application in Bothnian Bay.Based on the electromagnetic field theory and the electrical properties of sea ice and seawater,EM technique can detect the distance between the instrument and the ice/water interface accurately,than the sea ice thickness is obtained.Contrastive analysis of the apparent conductivity data obtained by EM and the value of drill-hole at same positions allows a construction of a transformable formula of the apparent conductivity to sea ice thickness.The verification of the sea ice thickness calculated by this formula indicates that EM technique is able to get reliable sea ice thickness with average relative error of only 12%.The statistic of all ice thickness profiles shows that the level ice distribution in Bothnian Bay was 0.4-0.6 m.  相似文献   

18.
Foreword     
正Rapid changes of Arctic sea ice cover have been in the focus of the international climate research community in recent years.Quite a few of nations have completed a large number of related surveys and research projects in the Arctic Ocean.Up to now,China has performed six research cruises to the Arctic Ocean resulting in a significant volume of research output.Improved knowledge on the atmospheree-sea ice-ocean interactions in the Arctic is a  相似文献   

19.
20.
Based on the hydrographic data in austral summer during the 22nd Antarctic Expedition of China(2005/2006),some features can be found about the northern margin of Emery ice shelf as follows.The heat content in the surface layer(0-50 m) at the eastern end and the western end of the ice-shelf margin is much higher than that at the middle.The upper mixing-layer depth and the seasonal thermocline depth at the middle of the ice-shelf northern margin are much shallower than those at the both ends.However there is much less difference between the middle and the ends in the bottom layer.The remote sensing photos show that the inhomogeneity in the surface-layer water is closely related to the spatial distribution of the floes and polynia in the area.  相似文献   

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