The numerical solution of the Advection-Dispersion Equation: A review of some basic principles

The simulation of solute transport in rivers is frequently based on numerical models of the Advection-Dispersion Equation. The construction of reliable computational schemes, however, is not necessarily easy. The paper reviews some of the most important issues in this regard, taking the finite volume method as the basis of the simulation, and compares the performance of several types of scheme for a simple case of the transport of a patch of solute along a uniform river. The results illustrate some typical (and well known) deficiencies of explicit schemes and compare the contrasting performance of implicit and semi-Lagrangian versions of the same schemes. It is concluded that the latter have several benefits over the other types of scheme.     

Simulated effect of a forest road on near‐surface hydrologic response: redux

In the work reported here the comprehensive physics‐based Integrated Hydrology Model (InHM) was employed to conduct both three‐ and two‐dimensional (3D and 2D) hydrologic‐response simulations for the small upland catchment known as C3 (located within the H. J. Andrews Experimental Forest in Oregon). Results from the 3D simulations for the steep unchannelled C3 (i) identify subsurface stormflow as the dominant hydrologic‐response mechanism and (ii) show the effect of the down‐gradient forest road on both the surface and subsurface flow systems. Comparison of the 3D results with the 2D results clearly illustrates the importance of convergent subsurface flow (e.g. greater pore‐water pressures in the hollow of the catchment for the 3D scenario). A simple infinite‐slope model, driven by subsurface pore‐water pressures generated from the 3D and 2D hydrologic‐response simulations, was employed to estimate slope stability along the long‐profile of the C3 hollow axis. As expected, the likelihood of slope failure is underestimated for the lower pore pressures from the 2D hydrologic‐response simulation compared, in a relative sense, to the higher pore pressures from the 3D hydrologic response simulation. The effort reported herein provides a firm quantitative foundation for generalizing the effects that forest roads can have on near‐surface hydrologic response and slope stability at the catchment scale. Copyright © 2006 John Wiley & Sons, Ltd.     

弹道扰动引力的有限元逼近算法

为了克服多项式逼近弹道扰动引力的缺点，根据有限元插值的原理，采用了对弹道周围空间区域进行有限元剖分的方法，利用剖分单元各顶点的扰动引力分量内插出弹道点对应的扰动引力分量值。结果表明，文中提出的逼近算法能够快速精确可靠地逼近弹道扰动引力，是一种具有应用价值的方法。     

Sagnac型干涉成像光谱仪研制及干涉成像光谱实验

空间调制干涉成像（傅里叶变换）光谱仪（SMIFTS）是一种有重要的研究和应用价值的空间遥感器。依据应用要求和信噪比方程设计并研制了Sagnac型干涉成像（傅里叶变换）光谱仪原理样机。用该样机进行了实验室干涉成像光谱实验，获取了较为清晰的可见光、近红外谱段干涉成像图像。对其中各像元的干涉图进行数据处理和计算，提取出了光谱特征明显的成像光谱图像和与被测图样光谱特征相符的像元光谱。由实测光谱辐射亮度曲线反演计算出的光谱反射曲线与标准仪器测得的图样光谱反射特性曲线进行了比较，结果表明二者对应相似。     

混流式转轮中流场的大涡模拟

建立了基于微可压缩流体理论的相对运动的大涡模拟方法,并对混流式转轮流场进行了三维非恒定粘性数值模拟,计算方法采用了有限体积法和预测-校正方法,对固体边壁的处理使用了“壁函数”法。得到了混流式转轮的三维速度场和压力分布,与k-ε模型计算结果进行比较表明,所建立的相对运动的大涡模拟方法对转轮性能预测更加精确、合理,对转轮改型设计具有十分重要的参考价值。     

堆载地基与邻近桩基的相互作用分析

本文在分析堆载条件下邻近桩基与土体的相互作用时，提出了改进弹性地基梁模型，采和最小势能原理推导了改进弹性地基梁的有限杆系法平衡方程，并编制了相应的分析程序EFBMPP，对影响桩基变位和弯矩的影响因素进行了计算分析。     

复杂地质构造波动方程数值模拟

利用全声波方程进行地震波场的数值模拟，虽然可以计算全声波波场值，但是也常常会出现层间多次波，给资料解释造成一定的困难。作者在本文中根据无反射声波方程，采用有限差分数值解法，实现了自激自收时间剖面的制作，避免了层间多次波的产生。本方法不但允许速度有纵向变化，而且允许速度有横向变化，这使得模拟复杂地质构造的地震响应成为可能。实际计算结果表明，该方法是一种行之有效的自激自收时间剖面的计算机数值模拟方法。     

热传导有限元的神经计算原理及应用

根据热传导有限元分析方法的特点，把有限元计算问题转化为带约束的非线性优化问题，并给出求解该问题的改进Hopfield(TH）网络，最后对一个简单温度场神经计算进行数值仿真，仿真结果表明，神经网络能完成有限元模型的求解。     

裂隙(EDA)介质P波地震记录数值模拟及波场特征分析

通过对潜山面和内幕EDA介质地面地震记录数值模拟及其波场特征分析,在了解地震波场的动力学特征对裂缝介质的敏感性基础上,确定主要以振幅,其次是频率的地震波动力学特征为裂缝检测被检参数,以均方振幅与中心频率作为检验检测结果正确与否的评价参数,为建立裂缝检测方法奠定了理论基础.     

圆形板基础下地基强度和变形非线性性状研究

采用Drucker弹塑性模型、SAP91非线性有限元程序、Vizi CAD微机有限元前后处理系统计算、分析了轴对称问题，即圆形板情况下，基础板几何尺寸、基础刚度、边界条件、基础埋深对基础沉降量、塑性区开展的影响，结果表明基础沉降随基础几何尺寸增大而增大，随基础刚度、埋深的增大而减小；基础刚度、几何尺寸、埋深的加大都能提高地基承载力。