Adaptive variational multiscale method for bingham flows

被引:15
|
作者
Riber, S. [1 ]
Valette, R. [1 ]
Mesri, Y. [1 ]
Hachem, E. [1 ]
机构
[1] MINES ParisTech PSL Res Univ, CEMEF Ctr Mat Forming, CNRS UMR 7635, CS 10207, Rue Claude Daunesse, F-06904 Sophia Antipolis, France
关键词
Bingham flow; Anisotropic meshing; Variational multiscale method; Papanastasiou regularization; Yield stress fluids; STABILIZED FINITE-ELEMENT; ANISOTROPIC MESH ADAPTATION; DRIVEN CAVITY FLOW; VOLUME METHOD; INCOMPRESSIBLE FLOWS; VISCOPLASTIC FLUID; TETRAHEDRAL MESHES; APPROXIMATION; FORMULATION; SIMULATION;
D O I
10.1016/j.compfluid.2016.08.011
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The simulation of viscoplasitc flows is still attracting considerable attention in many industrial applications. However, the underlying numerical discretization and regularization may suffer from numerical oscillations, in particular for high Bingham and Reynolds numbers flows. In this work, we investigate the Variational Multiscale stabilized finite element method in solving such flows. We combined it with a posteriori error estimator for anisotropic mesh adaptation, enhancing the use of the Papanastasiou regularization. Computational results are compared to existing data from the literature and new results have demonstrated that the approach can be applied for Bingham numbers higher than 1000 yielding accurate predictions. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:51 / 60
页数:10
相关论文
共 50 条
  • [41] Anisotropic adaptive meshing and monolithic Variational Multiscale method for fluid-structure interaction
    Hachem, E.
    Feghali, S.
    Codina, R.
    Coupez, T.
    COMPUTERS & STRUCTURES, 2013, 122 : 88 - 100
  • [42] An adaptive variational multiscale element free Galerkin method for convection-diffusion equations
    Zhang, Xiaohua
    Zhang, Ping
    Qin, Wenjie
    Shi, Xiaotao
    ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 4) : 3373 - 3390
  • [43] A bi-projection method for Bingham type flows
    Chupin, Laurent
    Dubois, Thierry
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (05) : 1263 - 1286
  • [44] A new variational multiscale formulation for stratified incompressible turbulent flows
    Yan, J.
    Korobenko, A.
    Tejada-Martinez, A. E.
    Golshan, R.
    Bazilevs, Y.
    COMPUTERS & FLUIDS, 2017, 158 : 150 - 156
  • [45] The variational multiscale formulation of LES with application to turbulent channel flows
    Hughes, TJR
    Oberai, AA
    GEOMETRY, MECHANICS AND DYNAMICS: VOLUME IN HONOR OF THE 60TH BIRTHDAY OF J. E. MARSDEN, 2002, : 223 - 239
  • [46] A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows
    Naveed Ahmed
    Tomás Chacón Rebollo
    Volker John
    Samuele Rubino
    Archives of Computational Methods in Engineering, 2017, 24 : 115 - 164
  • [47] A Review of Variational Multiscale Methods for the Simulation of Turbulent Incompressible Flows
    Ahmed, Naveed
    Chacon Rebollo, Tomas
    John, Volker
    Rubino, Samuele
    ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2017, 24 (01) : 115 - 164
  • [48] A two -level stabilized quadratic equal -order finite element variational multiscale method for incompressible flows ?
    Zheng, Bo
    Shang, Yueqiang
    APPLIED MATHEMATICS AND COMPUTATION, 2020, 384
  • [49] A Parallel Finite Element Variational Multiscale Method Based on Fully Overlapping Domain Decomposition for Incompressible Flows
    Shang, Yueqiang
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 31 (03) : 856 - 875
  • [50] A Two-Level Variational Multiscale Method for Incompressible Flows Based on Two Local Gauss Integrations
    Li, Ying
    Mei, Liquan
    Li, Yueqiu
    Zhao, Ke
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2013, 29 (06) : 1986 - 2003