黄河沉积物向渤海湾扩散的沉积地球化学示踪

使用ICP-AES和ICP-MS对渤海中部118°54′E左右南北向断面的表层沉积物中53种常、微量及稀土元素进行了测试,研究了其含量变化和分布特征,并进行了物质组成分析。研究表明:该区沉积物以B94站为界,南北差异明显,南部区域沉积物以黏土质粉砂为主,富集Al2O3,CaO,Fe2O3,MgO,MnO,P2O5和TiO等常量元素以及绝大多数的微量元素和稀土元素等与细颗粒黏土矿物相关的元素;北部区域沉积物以粉砂-砂为主,富集SiO2,K2O和Na2O等常量元素以及Zr,Ba,Sr,Sb和Hf等微量元素,稀土元素相对亏损。物源对比表明南部沉积物具有黄河来源沉积物特点,北部沉积物具有滦河来源特点,两者的分界大致在38°42′N附近。河口动力过程、渤海环流是影响该区沉积物扩散的主要因素。     

围海造陆工程泄水口悬浮物扩散规律分析

掌握围海造陆工程泄水口悬浮物扩散规律,对保护海洋水环境质量具有重要意义。选取围海造陆工程泄水口为研究对象,基于泥沙对流扩散方程,推求出泄水口悬浮物扩散平面二维分析解表达式。开展现场观测,确定泄水口源强取值,并对泄水口悬浮物扩散进行理论计算和分析。研究结果显示,围海造陆工程施工后期,泄水口悬浮物流失非常严重。泄水口附近水域出现的最大悬浮物浓度主要由源强的大小来决定,悬浮物扩散范围主要由流速的大小来控制。     

港池泊稳的能量平衡方程数值模拟

对基于能量平衡方程的多向随机波浪传播数学模型进行改进,通过模拟不同防波堤绕射引起的港池泊稳,验证模型的合理性和有效性。利用非线性弥散关系提高模型计算浅水变形的精度;采用二次逆风差分格式离散控制方程,避免了加入绕射项引起的数值耗散;并将文氏谱加入模型中,使其更加适合中国海域的工程应用。应用改进后模型绘制的双突堤和岛式防波堤绕射系数图与我国《海港水文规范》图进行了对比。对比结果十分接近,可以较好地描述港池的泊稳状况,为综合计算波浪在近岸的浅水变形、折射、绕射、反射和能量耗散等作用奠定了基础。     

带Sobolev临界指数的非齐次拟线性椭圆型方程正解的存在性

在RN上讨论带临界项的拟线性椭圆型方程正解的存在性问题。在一个正锥上应用Ekeland变分原理构造一个比P.S(.)c序列要弱的序列,通过证明该序列具有相对紧性,得到一个弱正上解,进而利用上下解方法得出所研究的问题至少存在一个弱正解。     

舰船气泡尾流分布的BPBE表征方法研究

基于气泡群平衡方程(BPBE),提出一种用于更系统表征舰船气泡尾流变化特征的数值模型。模型的创新处在于既能反映气体传质因素的影响,又考虑了尾流中实际存在的气泡聚并现象,且具有简单易行,运算效率高的特点。分析结果表明:聚并在近尾流区作用强烈,传质在远程尾流区作用明显;聚并对BND的分布变化影响不大,对气含量的发展变化则发挥着主要作用;尺寸为70~80 um的气泡BND最大,尺寸为200 um的气泡气含量最大。     

Modeling nonlinear wave–wave interactions with the elliptic mild slope equation

An approach is developed to simulate wave–wave interactions using nonlinear elliptic mild-slope equation in domains where wave reflection, refraction, diffraction and breaking effects must also be considered. This involves the construction of an efficient solution procedure including effective boundary treatment, modification of the nonlinear equation to resolve convergence issues, and validation of the overall approach. For solving the second-order boundary-value problem, the Alternating Direction Implicit (ADI) scheme is employed, and the use of approximate boundary conditions is supplemented, for improved accuracy, with internal wave generation method and dissipative sponge layers. The performance of the nonlinear model is investigated for a range of practical wave conditions involving reflection, diffraction and shoaling in the presence of nonlinear wave–wave interactions. In addition, the transformation of a wave spectrum due to nonlinear shoaling and breaking, and nonlinear resonance inside a rectangular harbor are simulated. Numerical calculations are compared with the results from other relevant nonlinear models and experimental data available in literature. Results show that the approach developed here performs reasonably well, and has thus improved the applicability of this class of wave transformation models.     

A new model for the vibration isolation via pile rows consisting of infinite number of piles

In this study, on the basis of the Floquet transform method, a numerical model for the simulation of the vibration isolation via multiple periodic pile rows with infinite number of piles is established. By means of the fictitious pile method due to Muki and Sternberg, the second kind of Fredholm integral equations for the pile rows are developed by using the fundamental solutions for the half‐space and the compatibility conditions between the piles and half‐space. Employing the Floquet transform method, integral equations for the pile rows in the wavenumber domain are then derived. Solution of the integral equations yields the wavenumber domain solution for the pile rows. The space domain solution can then be retrieved by inversion of the Floquet transform. Numerical results show that the proposed model with the Floquet transform method is in a good agreement with those of the conventional direct superposition method. On the basis of the new model, influences of the spacing between neighboring piles, the Young's modulus of the piles, and the pile length on the vibration isolation effect of the pile rows are investigated. Numerical simulations conducted in this study show that compared with the direct superposition method, the efficiency of the proposed model for simulation of the vibration isolation via pile rows is very high. Copyright © 2012 John Wiley & Sons, Ltd.     

On a power series solution to the Boussinesq equation

For certain initial and boundary conditions the Boussinesq equation, a nonlinear partial differential equation describing the flow of water in unconfined aquifers, can be reduced to a boundary value problem for a nonlinear ordinary differential equation. Using Song et al.'s (2007) [7] approach, we show that for zero head initial condition and power-law flux boundary condition at the inlet boundary, the solution in the form of power series can be obtained with Barenblatt's (1990) [2] rescaling procedure applied to the power series solution obtained in Song et al. (2007) [7] for the power-law head boundary condition. Polynomial approximations can then be obtained by taking terms from the power series. Although for a small number of terms the newly obtained approximations may be worse than polynomial approximations obtained by other techniques, any desired accuracy can be achieved by taking more terms from the power series.     

考虑泥沙冲淤对水流控制方程的改进与模拟

以一维数学模型为例,通过数值实验及渭河实际资料的验证,发现在含沙量较大的情况下,水流连续方程里的浑水与床面的交换项对流量影响是明显的,计算中应予考虑.解释了在像黄河这样的多沙河流中存在的“水变沙”、“沙变水”的现象.由此可见,在模拟含沙量较大河流的水沙数学模型中,应完整考虑水流连续方程的微元河段的水量变化率、进出通量变化及浑水与床面的交换通量这三项.     

快速滤波本征模态函数分解中的边界处理

针对快速滤波分解信号为本征模态函数(IMF)所产生的边界效应问题,提出了一种抑制这种边界效应的方法。即利用快速滤波先将原信号分解为本征模态函数,然后在信号内部截取适当的两段分别延拓到原信号两端,经快速滤波得到分解结果后,再截去延拓的部分,保留原信号长度的分解结果。通过实例验证了该方法的有效性。