重叠区域伪谱法计算非均匀地球介质地震波传播

伪谱法是一种高效、高精度计算非均匀介质地震波传播的数值算法,由于它的微分算子的全局性,一般认为该方法不适于并行计算. 本文介绍了并行计算非均匀介质中地震波传播的重叠区域分解算法,给出了一种基于傅里叶伪谱法的并行算法. 文中给出的算法将介质划分为相互重叠的若干区域,在各个子域上单独求解,利用重叠部分的解的传递,将各个子域连接起来,实现了伪谱法在分布式并行处理机上的计算. 文中给出了一个将二维区域分解的算例,比较了并行算法和整体算法的结果,分析了并行算法的计算精度. 结果表明,并行算法会有效降低计算时间,并且保证计算精度. 该方法在大规模三维非均匀介质的地震波场模拟方面有应用价值.      

二维扩散输移问题的一种新的有限体积算法

从空间离散格式上比较了有限元格式与有限体积格式的异同处,证明有限体积格式是有限元格式的一种特例,有限元格式也是一种守恒型格式。并根据有限元格式与有限体积格式的比较,提出了一种新的高精度、稳定性好的有限体积格式。通过模拟非定常的纯对流方程和二维对流扩散方程,证明了有限体积格式的优点。     

Numerical storm surge model with higher order finite difference method of lines for the coast of Bangladesh

In this study, the method of lines (MOLs) with higher order central difference approximation method coupled with the classical fourth order Runge-Kutta (RK(4,4)) method is used in solving shallow water equations (SWEs) in Cartesian coordinates to foresee water levels associated with a storm accurately along the coast of Bangladesh. In doing so, the partial derivatives of the SWEs with respect to the space variables were discretized with 5-point central difference, as a test case, to obtain a system of ordinary differential equations with time as an independent variable for every spatial grid point, which with initial conditions were solved by the RK(4,4) method. The complex land-sea interface and bottom topographic details were incorporated closely using nested schemes. The coastal and island boundaries were rectangularized through proper stair step representation, and the storing positions of the scalar and momentum variables were specified according to the rules of structured C-grid. A stable tidal regime was made over the model domain considering the effect of the major tidal constituent, M₂ along the southern open boundary of the outermost parent scheme. The Meghna River fresh water discharge was taken into account for the inner most child scheme. To take into account the dynamic interaction of tide and surge, the generated tidal regime was introduced as the initial state of the sea, and the surge was then made to come over it through computer simulation. Numerical experiments were performed with the cyclone April 1991 to simulate water levels due to tide, surge, and their interaction at different stations along the coast of Bangladesh. Our computed results were found to compare reasonable well with the limited observed data obtained from Bangladesh Inland Water Transport Authority (BIWTA) and were found to be better in comparison with the results obtained through the regular finite difference method and the 3-point central difference MOLs coupled with the RK(4,4) method with regard to the root mean square error values.     

量子信道大气扰动延时补偿方法的研究

本文对量子卫星定位系统(QPS)中的纠缠光穿过大气电离层和对流层过程中所产生的路径延迟误差进行研究.根据电离层路径延迟与纠缠光频率以及纠缠光传播路径单位面积上电离层自由电子总含量(TEC)之间的关系,提出3种电离层路径延迟修正方案,并对每一种方案的优缺点进行分析.根据对流层路径延迟与气象参数之间的关系,以及气象参数与纬度、高度和年积日的关系,提出5种对流层路径延迟修正方案,并分析各修正方案的优缺点.本文所做研究有助于进一步提高QPS的精度.     

黄土场地地铁车站振动台试验方案设计与研究

为得到可靠的试验数据,对黄土场地典型断面地铁车站大型振动台试验方案进行设计与研究.根据试验目的和特点,提出黄土场地与地铁车站动力相互作用模型体系相似设计原则,并基于Bockingham的π定理对模型结构进行相似设计;通过室内试验研究模型材料配合比、力学特性及模型制作技术;采用有限元-无限元耦合数值建模方法,分析黄土场地...     

深圳湾海域环境容量及污染总量控制研究——I.潮汐、潮流数值模拟

基于美国普林斯顿大学的POM(Princeton Ocean Model)模型,将干湿网格技术引入到模型中,利用模型的外模式(二维)对深圳湾海域的潮汐、潮流和余流进行了数值模拟研究。模拟结果与实测值吻合较好。计算结果表明:深圳湾海域属不正规半日潮,水平潮流具有明显的往复流性质,主要呈西南—东北走向;落潮流速略大于涨潮流速;受地形及陆地河流径流的影响,湾中到湾口及航道附近流速较大,湾顶和靠近香港的滩涂部分流速较小;深圳湾余流场较弱,余流流向指向湾外;整个深圳湾水交换较弱,海域自净能力较差。     

垂直混合方案对全球海洋环流模式模拟结果的影响对比研究

利用Modular Ocean Model version4(MOM4)海洋环流模式设计了2个全球海洋-海冰耦合的数值实验,以分析比较Pacanowski and Philander(PP)和K-Profile Parameterization(KPP)两种不同垂直混合方案在全球海洋上层模拟中的表现。实验结果表明,PP和KPP方案在中纬和高纬海域模拟海温差别较大,后者模拟结果好于前者;在低纬海域差别较小,但赤道断面PP方案模拟结果较好;KPP方案能很好地模拟太平洋赤道潜流,而PP方案模拟的赤道潜流位置偏浅。     

不同边界层参数化方案对台风“利奇马”模拟的影响研究

基于中尺度数值模式WRF,对比分析了六种大气边界层物理过程参数化方案（BouLac、MYJ、UW、YSU、ACM2、SH）对台风“利奇马”模拟结果的影响。结果表明,不同边界层方案对“利奇马”路径的模拟结果影响较小,但对其强度和结构演变的模拟结果影响显著。其中,局地闭合方案UW方案模拟的结果最强,局地闭合方案BouLac次之,而局地闭合方案MYJ和三种非局地闭合方案YSU、ACM2和SH的模拟强度都较弱。这些方案中,BouLac模拟的海平面最低气压与实况最为接近。通过对比这些边界层方案的模拟结果发现,由于台风强度的差异受到热力和动力的共同影响,边界层方案如模拟得到的地表潜热通量和边界层中湍流扩散系数较大,将导致较大的径向风和低层辐合,从而模拟得到较强的台风强度;反之,则台风强度较弱。     

A layered numerical model for simulating the generation and propagation of internal tides over continental slope II stability analysis

INTRODUCTIONAsoneofthemethodsenablingnumericalsolutionofdifferentialequations,thefinite differ encemethodiswidelyacceptedinthestudyofphysicaloceanography.Afinite differenceschememusthavepropertiesofconvergence ,consistencyandstabilitytoyieldusefulapproximatesolutionoftherelevantdifferentialequations.However,thepropertiesneednotbeverifiedonebyonebecausethewell knownLaxLawassuresthattheconvergenceisequivalenttothestabilityforafinitediffer enceschemewithconsistence .Twomainmethodsforstudyin…     

水动力与生态耦合的赤潮藻类生长模型研究

针对近岸海域赤潮藻类生长及分布的特点,将简化了的赤潮藻类模型与水动力学中的对流扩散方程相耦合,建立了一个水动力与生态耦合的赤潮藻类生长的深度模型。模型中用一个积分形式的指数函数模拟了藻类生长过程,用一个一阶线性函数近似模拟了藻类的死亡过程,用藻类浓度的一阶导数项模拟藻类的输运过程,用浓度的二阶导数模拟了藻类的扩散过程,并用高精度的三阶迎风格式对模型进行了数值模拟,结果表明,该模型能正确的反映藻类的生长特点,与实际情况吻合良好。