Time-dependent coupling of Navier–Stokes and Darcy flows
ESAIM: M2AN, 47 2 (2013) 539-554
Published online: 2013-01-11
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Global Well-Posedness of the Navier-Stokes-Darcy System in 3D Horizontally Infinite Strip Domain
Ningning Gao and Lei YaoThe Journal of Geometric Analysis 35 (2) (2025)
https://doi.org/10.1007/s12220-024-01879-0
Optimized Schwarz methods for the time-dependent Stokes–Darcy coupling
Marco Discacciati and Tommaso VanzanIMA Journal of Numerical Analysis 44 (4) 2251 (2024)
https://doi.org/10.1093/imanum/drad057
Small Darcy number limit of the Navier–Stokes–Darcy system
Wenqi Lyu and Xiaoming WangNonlinearity 37 (2) 025016 (2024)
https://doi.org/10.1088/1361-6544/ad1a4b
A Class of New Linear, Efficient and High-Order Implicit-Explicit Methods for the Unsteady Navier–Stokes-Darcy Model Based on Nonlinear Lions Interface Condition
Xinhui Wang, Xu Guo and Xiaoli LiJournal of Scientific Computing 101 (2) (2024)
https://doi.org/10.1007/s10915-024-02686-z
Global well-posedness of coupled Navier-Stokes and Darcy equations
Meiying Cui, Wenchao Dong and Zhenhua GuoJournal of Differential Equations 388 82 (2024)
https://doi.org/10.1016/j.jde.2023.12.044
Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media
Linlin Tan and Bianru ChengElectronic Research Archive 32 (10) 5649 (2024)
https://doi.org/10.3934/era.2024262
Weak and strong solutions for a fluid‐poroelastic‐structure interaction via a semigroup approach
George Avalos, Elena Gurvich and Justin T. WebsterMathematical Methods in the Applied Sciences (2024)
https://doi.org/10.1002/mma.10533
A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem
Aycil Cesmelioglu, Jeonghun J. Lee and Sander RhebergenESAIM: Mathematical Modelling and Numerical Analysis 58 (1) 273 (2024)
https://doi.org/10.1051/m2an/2023086
A decoupled stabilized finite element method for nonstationary stochastic shale oil model based on superhydrophobic material modification
Jian Li, Xinyue Zhang and Ruixia LiComputers & Mathematics with Applications 172 94 (2024)
https://doi.org/10.1016/j.camwa.2024.07.033
Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media
Jeffrey Kuan, Sunčica Čanić and Boris MuhaComptes Rendus. Mécanique 351 (S1) 505 (2024)
https://doi.org/10.5802/crmeca.190
An approach to the global well-posedness of a coupled 3-dimensional Navier-Stokes-Darcy model with Beavers-Joseph-Saffman-Jones interface boundary condition
Linlin Tan, Meiying Cui and Bianru ChengAIMS Mathematics 9 (3) 6993 (2024)
https://doi.org/10.3934/math.2024341
A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers
Yuhong Zhang, Yao Rong and Haibiao ZhengSIAM Journal on Numerical Analysis 61 (2) 1018 (2023)
https://doi.org/10.1137/22M1469699
Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier–Stokes Flow
Jiangyong Hou, Dan Hu, Xuejian Li and Xiaoming HeJournal of Scientific Computing 95 (3) (2023)
https://doi.org/10.1007/s10915-023-02185-7
Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities
Yali Gao, Xiaoming He, Tao Lin and Yanping LinESAIM: Mathematical Modelling and Numerical Analysis 57 (3) 1323 (2023)
https://doi.org/10.1051/m2an/2023012
Advances in Fusion Energy Research - From Theory to Models, Algorithms, and Applications
Mingchao Cai, Mo Mu and Lian ZhangAdvances in Fusion Energy Research - From Theory to Models, Algorithms, and Applications (2022)
https://doi.org/10.5772/intechopen.105997
Variational interior and interface transmission conditions: multidomain mixed Darcy/Stokes control problems
Gonzalo AlduncinOptimization and Engineering 23 (2) 797 (2022)
https://doi.org/10.1007/s11081-021-09606-2
Dynamics for 2D incompressible Navier–Stokes flow coupled with time-dependent Darcy flow
Yang Liu, Shan Ma and Chunyou SunJournal of Mathematical Physics 63 (6) (2022)
https://doi.org/10.1063/5.0057973
Existence and uniqueness results on biphasic mixture model for an in-vivo tumor
Meraj Alam, H. M. Byrne and G. P. Raja SekharApplicable Analysis 101 (15) 5442 (2022)
https://doi.org/10.1080/00036811.2021.1895122
Nonconforming time discretization based on Robin transmission conditions for the Stokes–Darcy system
Thi-Thao-Phuong Hoang, Hemanta Kunwar and Hyesuk LeeApplied Mathematics and Computation 413 126602 (2022)
https://doi.org/10.1016/j.amc.2021.126602
A finite element scheme for the numerical solution of the Navier–Stokes/Biot coupled problem
Alexander Lozovskiy, Maxim A. Olshanskii and Yuri V. VassilevskiRussian Journal of Numerical Analysis and Mathematical Modelling 37 (3) 159 (2022)
https://doi.org/10.1515/rnam-2022-0014
Modeling and a Robin-type decoupled finite element method for dual-porosity–Navier–Stokes system with application to flows around multistage fractured horizontal wellbore
Jiangyong Hou, Dan Hu, Xiaoming He and Changxin QiuComputer Methods in Applied Mechanics and Engineering 388 114248 (2022)
https://doi.org/10.1016/j.cma.2021.114248
Existence and weak–strong uniqueness of solutions to the Cahn–Hilliard–Navier–Stokes–Darcy system in superposed free flow and porous media
Daozhi Han, Xiaoming He, Quan Wang and Yanyun WuNonlinear Analysis 211 112411 (2021)
https://doi.org/10.1016/j.na.2021.112411
A Global-in-time Domain Decomposition Method for the Coupled Nonlinear Stokes and Darcy Flows
Thi-Thao-Phuong Hoang and Hyesuk LeeJournal of Scientific Computing 87 (1) (2021)
https://doi.org/10.1007/s10915-021-01422-1
A decoupled stabilized finite element method for the dual‐porosity‐Navier–Stokes fluid flow model arising in shale oil
Liang Gao and Jian LiNumerical Methods for Partial Differential Equations 37 (3) 2357 (2021)
https://doi.org/10.1002/num.22718
A MAC Scheme for Coupled Stokes–Darcy Equations on Non-uniform Grids
Hongxing Rui and Yue SunJournal of Scientific Computing 82 (3) (2020)
https://doi.org/10.1007/s10915-020-01181-5
Numerical analysis of the coupling of free fluid with a poroelastic material
Aycil Cesmelioglu and Prince ChidyagwaiNumerical Methods for Partial Differential Equations 36 (3) 463 (2020)
https://doi.org/10.1002/num.22437
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
Changxin Qiu, Xiaoming He, Jian Li and Yanping LinJournal of Computational Physics 411 109400 (2020)
https://doi.org/10.1016/j.jcp.2020.109400
A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System
Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, et al.SIAM Journal on Scientific Computing 42 (4) B951 (2020)
https://doi.org/10.1137/19M1293533
Global Well-Posedness of an Initial-Boundary Value Problem of the 2-D Incompressible Navier-Stokes-Darcy System
Pan Liu and Wenjuan LiuActa Applicandae Mathematicae 160 (1) 101 (2019)
https://doi.org/10.1007/s10440-018-0197-7
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems
Balthasar Reuter, Andreas Rupp, Vadym Aizinger and Peter KnabnerComputers & Mathematics with Applications 77 (9) 2291 (2019)
https://doi.org/10.1016/j.camwa.2018.12.020
Optimal estimates on stabilized finite volume methods for the incompressible Navier–Stokes model in three dimensions
Jian Li, Xiaolin Lin and Xin ZhaoNumerical Methods for Partial Differential Equations 35 (1) 128 (2019)
https://doi.org/10.1002/num.22294
Mortar Element Method for the Time Dependent Coupling of Stokes and Darcy Flows
Yanping Chen, Xin Zhao and Yunqing HuangJournal of Scientific Computing 80 (2) 1310 (2019)
https://doi.org/10.1007/s10915-019-00977-4
Decoupled characteristic stabilized finite element method for time‐dependent Navier–Stokes/Darcy model
Xiaofeng Jia, Jichun Li and Hongen JiaNumerical Methods for Partial Differential Equations 35 (1) 267 (2019)
https://doi.org/10.1002/num.22300
Numerical analysis of coupled flows in porous and fluid domains by the Darcy-Brinkman equations
Kazunori Fujisawa and Akira MurakamiSoils and Foundations 58 (5) 1240 (2018)
https://doi.org/10.1016/j.sandf.2018.07.003
Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
Yali Gao, Xiaoming He, Liquan Mei and Xiaofeng YangSIAM Journal on Scientific Computing 40 (1) B110 (2018)
https://doi.org/10.1137/16M1100885
Hybrid three-scale model for evolving pore-scale geometries
Timothy B. Costa, Kenneth Kennedy and Malgorzata PeszynskaComputational Geosciences 22 (3) 925 (2018)
https://doi.org/10.1007/s10596-018-9733-9
A multilevel decoupling method for the Navier–Stokes/Darcy model
Prince ChidyagwaiJournal of Computational and Applied Mathematics 325 74 (2017)
https://doi.org/10.1016/j.cam.2017.04.044
A fully-mixed finite element method for the Navier–Stokes/Darcy coupled problem with nonlinear viscosity
Sergio Caucao, Gabriel N. Gatica, Ricardo Oyarzúa and Ivana ŠebestováJournal of Numerical Mathematics 25 (2) (2017)
https://doi.org/10.1515/jnma-2015-0121
A stabilized mixed finite element method for coupled Stokes and Darcy flows with transport
Hongxing Rui and Jingyuan ZhangComputer Methods in Applied Mechanics and Engineering 315 169 (2017)
https://doi.org/10.1016/j.cma.2016.10.034
Analysis of the coupled Navier–Stokes/Biot problem
Aycil CesmeliogluJournal of Mathematical Analysis and Applications 456 (2) 970 (2017)
https://doi.org/10.1016/j.jmaa.2017.07.037
Convergence of IPDG for coupled time-dependent Navier–Stokes and Darcy equations
Nabil Chaabane, Vivette Girault, Charles Puelz and Beatrice RiviereJournal of Computational and Applied Mathematics 324 25 (2017)
https://doi.org/10.1016/j.cam.2017.04.002
Uniquely solvable and energy stable decoupled numerical schemes for the Cahn–Hilliard–Stokes–Darcy system for two-phase flows in karstic geometry
Wenbin Chen, Daozhi Han and Xiaoming WangNumerische Mathematik 137 (1) 229 (2017)
https://doi.org/10.1007/s00211-017-0870-1
A second‐order backward difference time‐stepping scheme for penalized Navier–Stokes equations modeling filtration through porous media
S. S. RavindranNumerical Methods for Partial Differential Equations 32 (2) 681 (2016)
https://doi.org/10.1002/num.22029
A Newton type linearization based two grid method for coupling fluid flow with porous media flow
Peiqi Huang, Mingchao Cai and Feng WangApplied Numerical Mathematics 106 182 (2016)
https://doi.org/10.1016/j.apnum.2016.04.003
An efficient and long-time accurate third-order algorithm for the Stokes–Darcy system
Wenbin Chen, Max Gunzburger, Dong Sun and Xiaoming WangNumerische Mathematik 134 (4) 857 (2016)
https://doi.org/10.1007/s00211-015-0789-3
A Domain Decomposition Method for the Steady-State Navier--Stokes--Darcy Model with Beavers--Joseph Interface Condition
Xiaoming He, Jian Li, Yanping Lin and Ju MingSIAM Journal on Scientific Computing 37 (5) S264 (2015)
https://doi.org/10.1137/140965776
FREQUENCY CHARACTERISTICS OF DYNAMIC SEEPAGE FLOW IN A POROUS MEDIUM INCLUDING A CAVITY
Mari SATO, Kazunori FUJISAWA and Akira MURAKAMIJournal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 71 (2) I_521 (2015)
https://doi.org/10.2208/jscejam.71.I_521
Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche’s coupling approach
M. Bukač, I. Yotov, R. Zakerzadeh and P. ZuninoComputer Methods in Applied Mechanics and Engineering 292 138 (2015)
https://doi.org/10.1016/j.cma.2014.10.047
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Beatrice RiviereThe IMA Volumes in Mathematics and its Applications, Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 157 259 (2014)
https://doi.org/10.1007/978-3-319-01818-8_11
Existence and uniqueness of global weak solutions to a Cahn–Hilliard–Stokes–Darcy system for two phase incompressible flows in karstic geometry
Daozhi Han, Xiaoming Wang and Hao WuJournal of Differential Equations 257 (10) 3887 (2014)
https://doi.org/10.1016/j.jde.2014.07.013
Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
Wenbin Chen, Max Gunzburger, Dong Sun and Xiaoming WangSIAM Journal on Numerical Analysis 51 (5) 2563 (2013)
https://doi.org/10.1137/120897705