Defect correction method for time-dependent viscoelastic fluid flow

被引：14
作者：
Zhang, Yunzhang [1 ]
Hou, Yanren [1 ]
Mu, Baoying [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Sci, Xian 710049, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2011年 / 88卷 / 07期
基金：
中国国家自然科学基金;
关键词：
viscoelastic fluid flow; finite element; time dependent; defect correction method; discontinuous Galerkin; error estimate; Weissenberg number; NAVIER-STOKES EQUATIONS; SCHEME; FEM;
D O I：
10.1080/00207160.2010.521549
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A defect correction method for solving the time-dependent viscoelastic fluid flow, aiming at high Weissenberg numbers, is presented. In the defect step, the constitutive equation is computed with the artificially reduced Weissenberg parameter for stability, and the residual is considered in the correction step. We show the convergence of the method and derive an error estimate. Numerical experiments support the theoretical results and demonstrate the effectiveness of the method.
引用
收藏
页码：1546 / 1563
页数：18
相关论文
共 50 条
  • [31] Pressure correction projection finite element method for the 2D/3D time-dependent thermomicropolar fluid problem
    Ren, Yuhang
    Liu, Demin
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2023, 136 : 136 - 150
  • [32] VIIRS DNB Time-Dependent Stray Light Correction
    Sun, Chengbo
    Schwarting, Thomas
    Geng, Xu
    Chiang, Kwofu
    Chen, Hongda
    Xiong, Xiaoxiong
    EARTH OBSERVING SYSTEMS XXIV, 2019, 11127
  • [33] The solution of a time-dependent problem by the B-spline method
    El-Gamel, Mohamed
    El-Shenawy, Atallah
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 267 : 254 - 265
  • [34] The second order projection method in time for the time-dependent natural convection problem
    Qian, Yanxia
    Zhang, Tong
    APPLICATIONS OF MATHEMATICS, 2016, 61 (03) : 299 - 315
  • [35] Highly parallelisable simulations of time-dependent viscoplastic fluid flow with structured adaptive mesh refinement
    Sverdrup, Knut
    Nikiforakis, Nikolaos
    Almgren, Ann
    PHYSICS OF FLUIDS, 2018, 30 (09)
  • [36] Natural convection effects on heat and mass transfer of slip flow of time-dependent Prandtl fluid
    Hamid, Muhammad
    Zubair, Tamour
    Usman, Muhammad
    Khan, Zafar Hayat
    Wang, Wei
    JOURNAL OF COMPUTATIONAL DESIGN AND ENGINEERING, 2019, 6 (04) : 584 - 592
  • [37] Convergence of a linearly extrapolated BDF2 finite element scheme for viscoelastic fluid flow
    Zhang, Yunzhang
    Xu, Chao
    Zhou, Jiaquan
    BOUNDARY VALUE PROBLEMS, 2017,
  • [38] Error Analysis of a Fully Discrete Finite Element Variational Multiscale Method for Time-Dependent Incompressible Navier-Stokes Equations
    Shang, Yueqiang
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2013, 29 (06) : 2025 - 2046
  • [39] An iterated Radau method for time-dependent PDEs
    Perez-Rodriguez, S.
    Gonzalez-Pinto, S.
    Sommeijer, B. P.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (01) : 49 - 66
  • [40] Select Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem
    Wu, Jilian
    Feng, Xinlong
    Liu, Fei
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 21 (04) : 1090 - 1117
12345