位置：成果数据库 > 期刊 > 期刊详情页
应用四边形单元稳定化有限元方法求解定常不可压缩流动问题
  • ISSN号：1005-3085
  • 期刊名称：《工程数学学报》
  • 时间：0
  • 分类：O241.82[理学—计算数学;理学—数学] O242.21[理学—计算数学;理学—数学]
  • 作者机构：[1]西安交通大学数学与统计学院,西安710049, [2]中科院深圳先进技术研究院工程与科学计算研究室,深圳518055, [3]宝鸡文理大学数学系,宝鸡721007
  • 相关基金：The National Natural Science Foundation of China（10971165;11001216;11071193;10871156）; the National High-Tech Research and Development Program of China（2009AA01A135）; the Foundation of AVIC Chengdu Aircraft Design and Research Institute; the Science Research Foundation of SNEDU（2010JK560）
作者： 于佳平[1], 史峰[2], 李剑, 李开泰[1]
关键词： Stokes方程, NAVIER-STOKES方程, 稳定化有限元方法, 局部高斯积分残差技术, INF-SUP条件, Stokes equations, Navier-Stokes equations, stabilized finite element method, two local Gauss integral technique, inf-sup condition
中文摘要：

本文回顾了李剑等针对Stokes和Navier-Stokes方程提出的一种新稳定化有限元方法,该方法采用局部高斯积分残差技术,适用于最低阶等阶（双）线性有限元对.对于等价双线性元对,给出了求解Stokes和Navier-Stokes方程的一些数值算例,验证了理论分析的正确性.

英文摘要：

In this paper,we recall a new stabilized finite element method proposed by Li J et al,which is based on two local Gauss integral technique for Stokes and Navier-Stokes equations approximated by the lowest equal-order（bi） linear finite element pairs,and give some numerical examples of Stokes equations and Navier-Stokes equations for the bilinear finite elements.The experiment performs and agrees with the theoretical analysis well.

同期刊论文项目
N-S方程低次等阶元新稳定有限体积方法研究
期刊论文 20 获奖 3
流体中形状优化设计问题的自适应伴随算法研究
期刊论文 18
三维可压和不可压旋转Navier-Stokes方程的维数分裂方法
期刊论文 33
具有弱耦合特性的Navier-Stokes方程两水平算法
期刊论文 42
同项目期刊论文
Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness
Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convect
Defect correction method for time-dependent viscoelastic fluid flow
Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations
复杂边界旋转Navier-Stokes方程的几何方法及二度并行算法
A postprocessing mixed finite element method for the Navier-Stokes equations
A variational multiscale method based on bubble functions for convection-dominated convection-diffus
A two-level correction method in space and time based on Crank-Nicolson scheme for Navier-Stokes equ
Adaptive variational multiscale methods for incompressible flow based on two local Gauss integration
A TWO-LEVEL DEFECT-CORRECTION METHOD FOR NAVIER-STOKES EQUATIONS
POSTERIORI ERROR ESTIMATES OF STABILIZATION OF LOW-ORDER MIXED FINITE ELEMENTS FOR INCOMPRESSIBLE FL
求解非定常Navier-Stokes方程的自适应变分多尺度方法
A two-level finite element method for the Navier-Stokes equations based on a new projection
A defect correction method for time dependent viscoelastic fluid flow based on SUPG formulation
Dimension Splitting Algorithm for Three-dimensional Elliptic Equation
A two-grid method based on Newton iteration for viscoelastic fluid flow
Immersed Interface Method for Elliptic Equations based on piecewise second order polynomial
A Defect-Correction Method for Time-Dependent Viscoelastic Fluid Flow Based on SUPG Formulation
The global attractor of g-Navier-Stokes equations with linear dampness on R(2)
A fully discrete stabilized finite element method for the time-dependent Navier-Stokes equations
A finite element variational multiscale method for incompressible flows based on two local gauss int
Local and parallel finite element algorithms for time-dependent convection-diffusion equations
POSTPROCESSING FOURIER GALERKIN METHOD FOR THE NAVIER-STOKES EQUATIONS
A stabilized semi-implicit Galerkin scheme for Navier-Stokes equations
ATTRACTORS FOR THE THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DAMPING
Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampnes
Posteriori analysis of unsteady Navier-Stokes equations with the coriolis force
A posteriori error estimation and adaptive computation of conduction convection problems
粘弹性流体的牛顿迭代两重网格方法
热传导对流问题的自适应最小二乘Galerkin／Petrov混合有限元法
L-Fuzzy上（下）δ-几乎半连续多值映射及其性质
含线性阻尼的2D非自治g-Navier-Stokes方程的拉回吸引子
有界区域上2D非自治g—Navier—Stokes方程的拉回吸引子
半线性抛物方程在L~（2p）空间中全局吸引子的存在性（英文）
Pullback attractor of 2D non-autonomous g-Navier-Stokes equations on some bounded domains
非定常对流扩散方程的局部和并行有限元算法
L-相对乘积空间与θ-连通性
Local and parallel finite element algorithms for time-dependent convection-diffusion equations
复杂边界旋转Navier-Stokes方程的几何方法及二度并行算法
OPERATOR SPLITTING SCHEMES FOR THE NON-STATIONARY THERMAL CONVECTION PROBLEMS
A finite element variational multiscale method for incompressible flows based on the construction of
The two-grid stabilization of equal-order finite elements for the stokes equations
Characteristic Stabilized Nonconforming Finite Element Method for the Unsteady Incompressible Navier
A variational multiscale method with bubble stabilization for the Oseen problem based on two local G
A dimension split method for the incompressible Navier-Stokes equations in three dimensions
The Application of Shape Gradient for the Incompressible Fluid in Shape Optimization
An Adaptive Finite Element Method for Stationary Incompressible Thermal Flow Based on Projection Err
A characteristic projection method for incompressible thermal flow
二阶椭圆边值问题的一种新型稳定化非协调混合有限元方法
A SECOND ORDER MODIFIED CHARACTERISTICS VARIATIONAL MULTISCALE FINITE ELEMENT METHOD FOR TIME-DEPEND
Adaptive variational multiscale method for the Stokes equations
双曲型守恒律方程的自适应间断Galerkin方法
基于高斯-泊松-莱斯利模型的中国人口预测与控制
两个旋转球之间粘性不可压缩流动的Lorenz系统
Analysis of newton multilevel stabilized finite volume method for the three-dimensional stationary N
Superconvergence of a stabilized finite element approximations for the Stokes equations by Coarse me
Design and numerical study of a new hybrid CSS-SAGD process using Horizontal wells for recovering He
On the semi-discrete stabilized finite volume methods for the transient Navier-Stokes equations
Superconvergence of stabilized low order finite volume approximation for the three-dimensional stati
Two-level methods based on three corrections for the 2d/3d steady Navier-Stokes equations
Optimal L2, H1 and L∞ Analysis of Finite Volume Methods for the Stationary Navier-Stokes Equat
Qualitative analysis for a competition model with B-D functional response and numerical simulation
Convergence Analysis of the New Splitting Preconditioned SOR-type Iterative Methods for the Linear S
Numerical comparisons of time–space iterative method and spatial iterative methods for the sta
A Stabilized Nonconforming Quadrilateral Finite Element Method for the Generalized Stokes Equations
A Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equat
A local superconvergenc analysis of the finite element methods for the Stokes equations by local pro
A New Reduced Stabilized Mixed Finite-Element Method Based on Proper Orthogonal Decomposition for th
Navier-Stokes方程两层稳定有限元算法分析
Banach空间脉冲发展方程初值问题解的单调迭代方法及应用
A new stabilized mixed finite-element method for Poisson equation based on two local Gauss integrati
复杂边界旋转Navier-Stokes方程的几何方法及二度并行算法
LOCALLY STABILIZED FINITE ELEMENT METHOD FOR STOKES PROBLEM WITH NONLINEAR SLIP BOUNDARY CONDITIONS
椭圆型方程的一种新型混合有限元格式
A third accurate operator splitting method
Characteristic stabilized finite element method for the transient Navier-Stokes equations
Boundary shape control of the Navier-Stokes equations and applications
叶轮机械通道内压力的修正方程和数值模拟
Plate Contact问题的混合有限元逼近
Pressure projection stabilized finite element method for Navier-Stokes equations with nonlinear slip
OPERATOR SPLITTING SCHEMES FOR THE NON-STATIONARY THERMAL CONVECTION PROBLEMS
Hodograph method of flow on two-dimensional manifold
二维流面上的流动问题的速度图方法
带有阻尼项的Stokes方程的有限元分析
应用四边形单元稳定化有限元方法求解定常不可压缩流动问题(英文)
Dimension splitting method for the three dimensional rotating Navier-Stokes equations
非定常Stokes方程稳定化方法的误差分析
算子分裂法求解对流–扩散–反应方程
LOCALLY STABILIZED FINITE ELEMENT METHOD FOR STOKES PROBLEM WITH NONLINEAR SLIP BOUNDARY CONDITIONS
期刊信息
  • 《工程数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:教育部
  • 主办单位:西安交通大学
  • 主编：李大潜
  • 地址：西宁市咸宁西路28号西安交通大学数学与统计学院
  • 邮编：710049
  • 邮箱：jgsx@mail.xjtu.edu.cn
  • 电话：029-82667877
  • 国际标准刊号：ISSN：1005-3085
  • 国内统一刊号：ISSN：61-1269/O1
  • 邮发代号:
  • 获奖情况:
  • 《中文核心期刊要目总览》核心期刊,《中国科学引文数据库》核心期刊,《中国数学文摘》核心期刊,陕西省优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:6741