Numerical modeling of toxic nonaqueous phase liquid removal from contaminated groundwater systems: mesh effect and discretization error estimation          下载免费PDF全文

Chongbin Zhao  Thomas Poulet  Klaus Regenauer‐Lieb 《国际地质力学数值与分析法杂志》2015,39(6):571-593

Numerical modeling has now become an indispensable tool for investigating the fundamental mechanisms of toxic nonaqueous phase liquid (NAPL) removal from contaminated groundwater systems. Because the domain of a contaminated groundwater system may involve irregular shapes in geometry, it is necessary to use general quadrilateral elements, in which two neighbor sides are no longer perpendicular to each other. This can cause numerical errors on the computational simulation results due to mesh discretization effect. After the dimensionless governing equations of NAPL dissolution problems are briefly described, the propagation theory of the mesh discretization error associated with a NAPL dissolution system is first presented for a rectangular domain and then extended to a trapezoidal domain. This leads to the establishment of the finger‐amplitude growing theory that is associated with both the corner effect that takes place just at the entrance of the flow in a trapezoidal domain and the mesh discretization effect that occurs in the whole NAPL dissolution system of the trapezoidal domain. This theory can be used to make the approximate error estimation of the corresponding computational simulation results. The related theoretical analysis and numerical results have demonstrated the following: (1) both the corner effect and the mesh discretization effect can be quantitatively viewed as a kind of small perturbation, which can grow in unstable NAPL dissolution systems, so that they can have some considerable effects on the computational results of such systems; (2) the proposed finger‐amplitude growing theory associated with the corner effect at the entrance of a trapezoidal domain is useful for correctly explaining why the finger at either the top or bottom boundary grows much faster than that within the interior of the trapezoidal domain; (3) the proposed finger‐amplitude growing theory associated with the mesh discretization error in the NAPL dissolution system of a trapezoidal domain can be used for quantitatively assessing the correctness of computational simulations of NAPL dissolution front instability problems in trapezoidal domains, so that we can ensure that the computational simulation results are controlled by the physics of the NAPL dissolution system, rather than by the numerical artifacts. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

Transient seepage analysis in zoned anisotropic soils based on the scaled boundary finite‐element method          下载免费PDF全文

Mohammad Hossein Bazyar  Abbas Talebi 《国际地质力学数值与分析法杂志》2015,39(1):1-22

The scaled boundary finite‐element method, a semi‐analytical computational scheme primarily developed for dynamic stiffness of unbounded domains, is applied to the analysis of unsteady seepage flow problems. This method is based on the finite‐element technology and gains the advantages of the boundary element method as well. Only boundary of the domain is discretized, no fundamental solution is required and singularity problems can be modeled rigorously. Anisotropic and non‐homogeneous materials satisfying similarity are modeled with no additional efforts. In this study, firstly, formulation of the method for the transient seepage flow problems is derived followed by its solution procedures. The accuracy, simplicity and applicability of the method are demonstrated via four numerical examples of transient seepage flow – three of them are available in the literature. Homogenous, non‐homogenous, isotropic and anisotropic material properties are considered to show the versatility of the technique. Excellent agreement with the finite‐element method is observed. The method out‐performs the finite‐element method in modeling singularity points. Copyright © 2014 John Wiley & Sons, Ltd.  相似文献   

A note on the consolidation settlement of a rigid circular foundation on a poroelastic halfspace          下载免费PDF全文

Jueun Kim  A.P.S. Selvadurai 《国际地质力学数值与分析法杂志》2016,40(14):2003-2016

This paper uses Biot's poroelasticity approach to examine the consolidation behaviour of a rigid foundation with a frictionless base in contact with a poroelastic halfspace. The mathematical development of the mixed boundary value problem involves a set of dual integral equations in the Laplace transform domain which cannot be conveniently solved by employing conventional procedures. In this paper, a numerical solution is developed using a scheme where the contact normal stress is approximated by a discretized equivalent. The influence of limiting drainage boundary conditions at the entire surface of the halfspace on the degree of consolidation of the rigid circular foundation is investigated. The results obtained in this study are compared with the corresponding results given in the literature. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

Application of a vanishing, quasi-sigma, vertical coordinate for simulation of high-speed, deep currents over the Sigsbee Escarpment in the Gulf of Mexico   总被引：1，自引：0，他引：1  

Dmitry S. Dukhovskoy  Steven L. Morey  Paul J. Martin  James J. O&#x;Brien  Cortis Cooper 《Ocean Modelling》2009,28(4):250-265

Recent observations over the Sigsbee Escarpment in the Gulf of Mexico have revealed extremely energetic deep currents (near 1 m s⁻¹), which are trapped along the escarpment. Both scientific interest and engineering needs demand dynamical understanding of these extreme events, and can benefit from a numerical model designed to complement observational and theoretical investigations in this region of complicated topography. The primary objective of this study is to develop a modeling methodology capable of simulating these physical processes and apply the model to the Sigsbee Escarpment region. The very steep slope of the Sigsbee Escarpment (0.05–0.1) limits the application of ocean models with traditional terrain-following (sigma) vertical coordinates, which may represent the very complicated topography in the region adequately, can result in large truncation errors during calculation of the horizontal pressure gradient. A new vertical coordinate system, termed a vanishing quasi-sigma coordinate, is implemented in the Navy Coastal Ocean Model for application to the Sigsbee Escarpment region. Vertical coordinate surfaces for this grid have noticeably gentler slopes than a traditional sigma grid, while still following the terrain near the ocean bottom. The new vertical grid is tested with a suite of numerical experiments and compared to a classical sigma-layer model. The numerical error is substantially reduced in the model with the new vertical grid. A one-year, realistic, numerical simulation is performed to simulate strong, deep currents over the Escarpment using a very-high-resolution nested modeling approach. The model results are analyzed to demonstrate that the deep-ocean currents in the simulation replicate the prominent dynamical features of the observed intense currents in the region.  相似文献   

基于决策树的我国农业数据挖掘分析     

GAO Yi-yang 《测绘学院学报》2008,(5)

决策树是用于分类的常用建模方法。首先对分类的概念和决策树方法分别进行了总体介绍,在此基础上对我国30个省市自治区的乡村劳动力、耕地面积以及农业总产值信息数据进行了挖掘分析,在运用决策树对数据进行分类过程中对连续数据采用聚类分析的方法进行离散化处理,从而避免了原始经验分类方法的主观性。最后,通过上述决策树分类方法,生成我国农业情况的决策树,获得相关空间分类规则,并对其进行分析说明。结果表明,决策树分类方法适合我国农业情况。  相似文献   

Discretization error for the superposition of Gaussian beams     

Lud&#;k Klime&#; 《Geophysical Journal International》1986,86(2):531-551

Summary. A high-frequency asymptotic integral expansion of a time-harmonic wavefield into Gaussian beams was derived in a previous paper by Klimeš. The discretization error caused by replacing this integral superposition by a discrete summation of Gaussian beams is estimated in this paper.  相似文献   

Interpretation of a two-point flux stencil for skew parallelogram grids     

Ivar Aavatsmark 《Computational Geosciences》2007,11(3):199-206

Control-volume formulations for elliptic equations often use two-point flux stencils, even for skew grids. Any two-point flux stencil may be interpreted as a multipoint flux stencil. This yields a definition of the permeability (or conductivity) tensor. Formulas for calculating the permeability tensor, based on the user-specified quantities in the two-point flux stencil, are given. Numerical test examples demonstrate the validity of the derivation.   相似文献   

The Correlation Bias for Two-Dimensional Simulations by Turning Bands     

Tilmann Gneiting 《Mathematical Geology》1999,31(2):195-211

The turning bands method (TBM) generates realizations of isotropic Gaussian random fields by summing contributions from line processes. We consider two-dimensional simulations and study the correlation bias attributable to the use of only a finite number L of lines. Our analytical and numerical results confirm that the maximal bias is of order 1/L, and that L = 64 lines suffice for excellent covariance reproduction. The notorious banding observed in simulations with an insufficient number of lines is a related but different phenomenon and depends strongly on the choice of the line simulation technique. Clear-cut recommendations for the number of lines necessary to avoid the effect can only be based on practical experience with the specific code at hand.  相似文献   

水平气压梯度力差分格式误差的定量分析          下载免费PDF全文

曾西平  任阵海 《大气科学》1995,19(6):722-732

通过分析发现地形坐标系中气压梯度力差分格式的计算误差应分为二类，其中，第二类误差在水平坐标面倾斜时出现。这种误差可理解为将水平坐标面上的气压(或位势高度)插回到等高面(或等压面)上的插值误差。 构造气压梯度力差分格式的目的正是为了减小这种第二类误差，而不是其他误差。 误差分析表明静力扣除法和Corby 格式的第二类误差都很小，比一般方法的误差小约一个量级。分析还表明第二类误差产生的主要原因是由于气压随高度非线性变化。依据这一分析思路，本文改进了#As(z)#a坐标系中的静力扣除法。 改进后的方法比改进前的误差小约一个量级。  相似文献   

基于DEM的分布式水文模型构建方法   总被引：52，自引：4，他引：52  

王中根  刘昌明  左其亭  刘青娥 《地理科学进展》2002,21(5):430-439

基于 DEM的分布式水文模型是现代水文学同高科技 (如计算机技术、 3S技术等 )相结合的产物 ,是研究变化环境下水文循环与水资源演化规律的理想工具 ,代表了水文模型的最新发展方向。从 DEM的特性出发 ,本文探讨并总结了分布式水文模型的特点、建模思路和模型基本结构框图。在流域离散化方面 ,重点介绍了分布式水文模型常用的三种单元划分方法 ;最后 ,针对分布式水文模型构建问题 ,从“输入模块”、“单元水文模型”、“河网汇流模型”三方面 ,阐述了分布式水文模型微结构构建方法。  相似文献