Second-order time discretization for a coupled quasi-Newtonian fluid-poroelastic system

被引:11
作者
Kunwar, Hemanta [1 ]
Lee, Hyesuk [1 ]
Seelman, Kyle [1 ]
机构
[1] Clemson Univ, Sch Math & Stat Sci, Clemson, SC 29634 USA
基金
美国国家科学基金会;
关键词
domain decomposition; fluid structure interaction; poroelasticity; BLOOD-FLOW; APPROXIMATION; TRANSPORT; MODEL;
D O I
10.1002/fld.4801
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Numerical methods are proposed for the nonlinear Stokes-Biot system modeling interaction of a free fluid with a poroelastic structure. We discuss time discretization and decoupling schemes that allow the fluid and the poroelastic structure computed independently using a common stress force along the interface. The coupled system of nonlinear Stokes and Biot is formulated as a least-squares problem with constraints, where the objective functional measures violation of some interface conditions. The local constraints, the Stokes and Biot models, are discretized in time using second-order schemes. Computational algorithms for the least-squares problems are discussed and numerical results are provided to compare the accuracy and efficiency of the algorithms.
引用
收藏
页码:687 / 702
页数:16
相关论文
共 25 条
  • [1] A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media
    Ambartsumyan, Ilona
    Ervin, Vincent J.
    Truong Nguyen
    Yotov, Ivan
    [J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2019, 53 (06) : 1915 - 1955
  • [2] A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
    Ambartsumyan, Ilona
    Khattatov, Eldar
    Yotov, Ivan
    Zunino, Paolo
    [J]. NUMERISCHE MATHEMATIK, 2018, 140 (02) : 513 - 553
  • [3] [Anonymous], APPL ENERGY ENV
  • [4] Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
    Badia, Santiago
    Quaini, Annalisa
    Quarteroni, Alfio
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 228 (21) : 7986 - 8014
  • [5] General theory of three-dimensional consolidation
    Biot, MA
    [J]. JOURNAL OF APPLIED PHYSICS, 1941, 12 (02) : 155 - 164
  • [6] Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
    Bukac, M.
    Yotov, I.
    Zakerzadeh, R.
    Zunino, P.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 292 : 138 - 170
  • [7] Analysis of Partitioned Methods for the Biot System
    Bukac, Martina
    Layton, William
    Moraiti, Marina
    Tran, Hoang
    Trenchea, Catalin
    [J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 31 (06) : 1769 - 1813
  • [8] Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow
    Calo, V. M.
    Brasher, N. F.
    Bazilevs, Y.
    Hughes, T. J. R.
    [J]. COMPUTATIONAL MECHANICS, 2008, 43 (01) : 161 - 177
  • [9] Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    Causin, P
    Gerbeau, JF
    Nobile, F
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (42-44) : 4506 - 4527
  • [10] Cesmelioglu A., 2016, Topics in Numerical Partial Differential Equations and scientific computing, P137