排序方式： 共有111条查询结果，搜索用时 15 毫秒
101.
提出了一种模拟裂纹扩展的水平集和无网格耦合方法。由于水平集和无网格方法都是建立在离散节点上,因而可以很自然地实现耦合。在该方法中,两个在裂尖处相互正交的水平集不仅用于描述裂纹的几何形态和裂尖位置,而且用于建立无网格伽辽金法（简称EFGM）不连续近似函数中的Heaviside跳跃项和裂尖处的Westergaard扩展项。当裂纹扩展时,则由水平集更新算法确定新裂纹的位置。水平集和无网格耦合法无需使用可视法、衍射法或透明法,克服了这些方法在裂尖处人为引入的不连续且能很好地再生 奇异场;而且节点影响域不受裂纹线切割的影响,在计算中往往使用较小的影响域,保持了整体刚度矩阵的带状、稀疏性;另外,水平集简化了扩展节点的选取和附加函数的建立,其更新过程无需求解演化方程,实现简单且易于编程。数值算例表明本文方法具有较高的计算精度,其模拟的裂纹扩展路径与试验结果吻合得很好,从而验证了本文方法的正确性和可行性。 相似文献
102.
在稠油油藏开发中,由于原油黏度高一般采用注蒸汽开采。基于连续介质力学理论,考虑了热对流的影响,建立了蒸汽注入条件下对地层压力、变形和有效应力定量评价的改进的热-流体-力学耦合数学模型;应用全隐式顺序Galerkin有限元数值解方案对注蒸汽井热-流体-力学耦合过程进行了数值模拟。计算结果表明,由于地层流体高温膨胀引起的高压力,会导致位移、变形,甚至地层结构破裂;温度对地层破裂形态的影响显著。研究表明,这个改进模型比传统模型更加准确、实用,可以用于蒸汽注入速率优化和油藏、地质、热-流动力反应、地应力水平等综合作用效应研究。 相似文献
103.
Deconvolution with wavelets and vaguelettes 总被引：2，自引：0，他引：2
The use of wavelets for the solution of convolution equations is studied as a possible alternative to the well-established
Fast Fourier Transform (FFT) technique. Two possible solution strategies are investigated: (1) The use of wavelets for the
representation of both the given data and the unknown solution. This leads to an algorithm with good de-noising and data-compression
properties. In terms of computational efficiency this algorithm is inferior to FFT. (2) The use of wavelets for the representation
of the unknown solution and of so-called vaguelettes for the representations of the given data. This leads to an algorithm
which is even faster than FFT.
Received: 14 October 1998 / Accepted: 30 November 1999 相似文献
104.
Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media
Birgitte Eikemo Knut-Andreas Lie Geir Terje Eigestad Helge K. Dahle 《Advances in water resources》2009
Accurate simulation of flow and transport processes in fractured rocks requires that flow in fractures and shear zones to be coupled with flow in the porous rock matrix. To this end, we will herein consider a single-continuum approach in which both fractures and the porous rock are represented as volumetric objects, i.e., as cells in an unstructured triangular grid with a permeability and a porosity value associated with each cell. Hence, from a numerical point of view, there is no distinction between flow in the fractures and the rock matrix. This enables modelling of realistic cases with very complex structures. To compute single-phase advective transport in such a model, we propose to use a family of higher-order discontinuous Galerkin methods. Single-phase transport equations are hyperbolic and have an inherent causality in the sense that information propagates along streamlines. This causality is preserved in our discontinuous Galerkin discretization. We can therefore use a simple topological sort of the graph of discrete fluxes to reorder the degrees-of-freedom such that the discretized linear system gets a lower block-triangular form, from which the solution can be computed very efficiently using a single-pass forward block substitution. The accuracy and utility of the resulting transport solver is illustrated through several numerical experiments. 相似文献
105.
106.
An efficient and accurate numerical model for multicomponent compressible single-phase flow in fractured media is presented. The discrete-fracture approach is used to model the fractures where the fracture entities are described explicitly in the computational domain. We use the concept of cross flow equilibrium in the fractures. This will allow large matrix elements in the neighborhood of the fractures and considerable speed up of the algorithm. We use an implicit finite volume (FV) scheme to solve the species mass balance equation in the fractures. This step avoids the use of Courant–Freidricks–Levy (CFL) condition and contributes to significant speed up of the code. The hybrid mixed finite element method (MFE) is used to solve for the velocity in both the matrix and the fractures coupled with the discontinuous Galerkin (DG) method to solve the species transport equations in the matrix. Four numerical examples are presented to demonstrate the robustness and efficiency of the proposed model. We show that the combination of the fracture cross-flow equilibrium and the implicit composition calculation in the fractures increase the computational speed 20–130 times in 2D. In 3D, one may expect even a higher computational efficiency. 相似文献
107.
This paper presents and compares several numerical solutions of the coupled system of Navier–Stokes and Darcy equations. The schemes are based on combinations of the finite element method and the discontinuous Galerkin method. Accuracy and robustness of the methods are investigated for heterogeneous porous media. The importance of local mass conservation for filtration problems is also discussed. 相似文献
108.
109.
A meshless method based on the local Petrov–Galerkin approach is proposed to analyze 3-d axisymmetric problems in porous functionally graded materials. Constitutive equations for porous materials possess a coupling between mechanical displacements for solid and fluid phases. The work is based on the u–u formulation and the incognita fields of the coupled analysis in focus are the solid skeleton displacements and the fluid displacements. Independent spatial discretization is considered for each phase of the model, rendering a more flexible and efficient methodology. Both displacements are approximated by the moving least-squares (MLS) scheme. The paper presents in the first time a general meshless method for the numerical analysis of axisymmetric problems in continuously nonhomogeneous saturated porous media. Numerical results are given for boreholes in continuously nonhomogeneous porous medium with prescribed misfit and exponential variation of material parameters in the excavation zone. 相似文献
110.