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排序方式: 共有96条查询结果,搜索用时 31 毫秒
1.
垂直裂缝气井生产动态预测及参数识别   总被引:7,自引:1,他引:6  
为了摆脱分析解释水力压裂裂缝参数时选择图版的繁复工作和克服人为的误差,在引入非达西因子的基础上,考虑裂缝导流能力在生产过程中的变化,提出了垂直裂缝气井中真实气体在地层-裂缝系统中非达西渗流的数学模型和生产动态预测模型,建立了识别垂直裂缝气井水力裂缝参数的生产历史自动拟合模型,并给出了数值解法,为认识和了解气层、分析和评估气井压裂施工质量,提供了准确可靠的方法。  相似文献
2.
Cahn-Hilliard方程的拟谱逼近   总被引:3,自引:0,他引:3       下载免费PDF全文
该文讨论了用Legendre拟谱方法数值求解非线性Cahn-Hilliard方程的Dirichlet问题,建立了其半离散和全离散逼近格式,它们保持原问题能量耗散的性质,证明了离散解的存在唯一性。并给出最佳误差估计,数值实验也证实了我们的结果。  相似文献
3.
非线性Cahn-Hilliard方程的拟谱算法   总被引:2,自引:0,他引:2       下载免费PDF全文
本文对非线性Cahn-Hilliard方程构造了拟谱格式,证明了该格式的收敛性和稳定性,给出了数值例子.  相似文献
4.
具浓度相关迁移率的粘性Cahn-Hilliard方程   总被引:1,自引:0,他引:1  
尹景学  刘长春 《东北数学》2002,18(3):266-272
This paper is devoted to viscous Cahn-Hiliiard equation with concentration dependent mobility. Some results on the existence, uniqueness and large time behavior are established.  相似文献
5.
Cahn-Hilliard方程的动力学稳定性   总被引:1,自引:0,他引:1       下载免费PDF全文
李德生  李清仪 《数学学报》2000,43(1):127-134
考虑Cahn-Hilliard方程ut+λ△^2u-△f(u)=0,(f(u)=∑j=1^2p-1ajuj且a2p-1〉0)的初这值问题,证明了系统在H1-H^3中关于f系数的扰动于H^2中Hausdorff半距离下稳定的全局吸引子的存在性。  相似文献
6.
Some Properties of Solutions for Viscous Cahn-Hilliard Equation   总被引:1,自引:0,他引:1  
§1.IntroductionInthispaper,westudytheviscousCahn-Hiliardequationut+γΔ2u-kΔut=Δφ(u),(1.1)whicharisesfrommodelingthedynamic...  相似文献
7.
In this paper, we study the regularity of solutions for two-dimensional Cahn-Hilliard equation with non-constant mobility. Basing on the L^p type estimates and Schauder type estimates, we prove the global existence of classical solutions.  相似文献
8.
9.
This paper studies a phase field model for the mixture of two immiscible and incompressible fluids. The model is described by a nonlinear parabolic system consisting of the nonstationary Stokes equations coupled with the Allen-Cahn equation through an extra phase induced stress term in the Stokes equations and a fluid induced transport term in the Allen-Cahn equation. Both semi-discrete and fully discrete finite element methods are developed for approximating the parabolic system. It is shown that the proposed numerical methods satisfy a discrete energy law which mimics the basic energy law for the phase field model. Error estimates are derived for the semi-discrete method, and the convergence to the phase field model and to its sharp interface limiting model are established for the fully discrete finite element method by making use of the discrete energy law. Numerical experiments are also presented to validate the theory and to show the effectiveness of the combined phase field and finite element approach.

  相似文献

10.
Fully discrete discontinuous Galerkin methods with variable mesh- es in time are developed for the fourth order Cahn-Hilliard equation arising from phase transition in materials science. The methods are formulated and analyzed in both two and three dimensions, and are proved to give optimal order error bounds. This coupled with the flexibility of the methods demonstrates that the proposed discontinuous Galerkin methods indeed provide an efficient and viable alternative to the mixed finite element methods and nonconforming (plate) finite element methods for solving fourth order partial differential equations.

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