Ding, Qianqian; Mao, Shipeng; Wang, Xiaorong Error analysis of a fully discrete projection method for Cahn-Hilliard inductionless MHD problems. (English) Zbl 07899914 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108195, 22 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Eymard, Robert; Maltese, David Convergence of the incremental projection method using conforming approximations. (English) Zbl 1543.65150 Comput. Methods Appl. Math. 24, No. 3, 623-647 (2024). MSC: 65M60 35Q30 65M12 76M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Yang, Jinting; Yi, Nianyu Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07881072 J. Comput. Appl. Math. 449, Article ID 115985, 38 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Prakash, Aviral; Zhang, Yongjie Jessica Projection-based reduced order modeling and data-driven artificial viscosity closures for incompressible fluid flows. (English) Zbl 1539.76143 Comput. Methods Appl. Mech. Eng. 425, Article ID 116930, 23 p. (2024). MSC: 76M22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng A unified framework of the SAV-ZEC method for a mass-conserved Allen-Cahn type two-phase ferrofluid flow model. (English) Zbl 1541.65117 SIAM J. Sci. Comput. 46, No. 2, B77-B106 (2024). MSC: 65M60 65M06 65N30 65N12 65M12 76W05 76D05 76T06 76T20 78A30 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yan; Xiao, Xufeng; Feng, Xinlong Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method. (English) Zbl 1531.65126 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107874, 20 p. (2024). MSC: 65M06 65Y05 76T99 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Qianqian; He, Xiaoming; Long, Xiaonian; Mao, Shipeng Error analysis of a fully discrete projection method for magnetohydrodynamic system. (English) Zbl 07776970 Numer. Methods Partial Differ. Equations 39, No. 2, 1449-1477 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Xiaobing; Vo, Liet Analysis of Chorin-type projection methods for the stochastic Stokes equations with general multiplicative noise. (English) Zbl 1515.65289 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 269-306 (2023). MSC: 65N30 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Xiaonian; Ding, Qianqian Convergence analysis of the fully discrete projection method for inductionless magnetohydrodynamics system based on charge conservation. (English) Zbl 1519.76153 J. Sci. Comput. 96, No. 1, Paper No. 2, 24 p. (2023). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 76M10 76W05 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. (English) Zbl 1505.76059 J. Sci. Comput. 94, No. 1, Paper No. 4, 41 p. (2023). MSC: 76M10 76M20 76D05 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Ruonan; Jiang, Nan; Yang, Huanhuan Three linear, unconditionally stable, second order decoupling methods for the Allen-Cahn-Navier-Stokes phase field model. (English) Zbl 1501.65029 J. Math. Anal. Appl. 519, No. 1, Article ID 126792, 23 p. (2023). MSC: 65M06 76M20 76D05 76E30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xi; Luo, Yan; Feng, Minfu An efficient Chorin-Temam projection proper orthogonal decomposition based reduced-order model for nonstationary Stokes equations. (English) Zbl 1503.65239 J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsui, Kazunori A projection method for Navier-Stokes equations with a boundary condition including the total pressure. (English) Zbl 1530.65123 Numer. Math. 152, No. 3, 663-699 (2022). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 65M60 65M06 65N30 65M12 65M15 76D03 76D05 76M10 76M20 35D30 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kikuchi, Hiroki; Kubo, Takayuki; Matsui, Ranmaru Existence of weak solution to the nonstationary Navier-Stokes equations approximated by pressure stabilization method. (English) Zbl 1495.76031 J. Math. Fluid Mech. 24, No. 3, Paper No. 80, 18 p. (2022). Reviewer: Alain Brillard (Riedisheim) MSC: 76D03 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Maeda, Masataka; Soga, Kohei More on convergence of Chorin’s projection method for incompressible Navier-Stokes equations. (English) Zbl 1489.35187 J. Math. Fluid Mech. 24, No. 2, Paper No. 41, 31 p. (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 65M15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xiaofeng A novel fully decoupled scheme with second-order time accuracy and unconditional energy stability for the Navier-Stokes equations coupled with mass-conserved Allen-Cahn phase-field model of two-phase incompressible flow. (English) Zbl 1548.76142 Int. J. Numer. Methods Eng. 122, No. 5, 1283-1306 (2021). MSC: 76M10 65M70 65M12 65M60 76F05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaofeng On a novel fully-decoupled, linear and second-order accurate numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow. (English) Zbl 1539.65146 Comput. Phys. Commun. 263, Article ID 107868, 16 p. (2021). MSC: 65M70 35Q35 65M12 76D27 76M10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xueling; Feng, Xinlong; Xiao, Xufeng; Wang, Kun Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations. (English) Zbl 1506.76081 Comput. Methods Appl. Mech. Eng. 383, Article ID 113909, 19 p. (2021). MSC: 76M10 65M60 35Q35 65M12 76D07 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Wentao; Li, Buyang; Li, Ying Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions. (English) Zbl 1477.65156 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 103-147 (2021). MSC: 65M60 65M22 65N30 65M12 65M15 35B65 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaofeng On a novel fully decoupled, second-order accurate energy stable numerical scheme for a binary fluid-surfactant phase-field model. (English) Zbl 1478.65100 SIAM J. Sci. Comput. 43, No. 2, B479-B507 (2021). Reviewer: Xiaofei Zhao (Wuhan) MSC: 65M70 65N12 35K57 35A24 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaofeng A novel decoupled second-order time marching scheme for the two-phase incompressible Navier-Stokes/Darcy coupled nonlocal Allen-Cahn model. (English) Zbl 1506.76144 Comput. Methods Appl. Mech. Eng. 377, Article ID 113597, 26 p. (2021). MSC: 76M99 65M70 65M12 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaofeng A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen-Cahn type flow-coupled binary surfactant model. (English) Zbl 1506.65173 Comput. Methods Appl. Mech. Eng. 373, Article ID 113502, 26 p. (2021). MSC: 65M70 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. (English) Zbl 1469.65152 SIAM J. Sci. Comput. 43, No. 1, B167-B193 (2021). Reviewer: J. Manimaran (Ponda) MSC: 65M60 65M06 65M12 76D05 76W05 78A30 35Q35 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Djoko, J. K.; Gidey, H. H.; Reddy, B. D. Multilevel finite volume methods for 2D incompressible Navier-Stokes equations. (English) Zbl 1488.65335 Int. J. Numer. Anal. Model. 17, No. 4, 485-516 (2020). MSC: 65M08 65M22 65N08 65M15 65M12 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: Link
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés Madroñal, Carlos; Sainte-Marie, Jacques A two-dimensional method for a family of dispersive shallow water models. (English) Zbl 1452.65221 SMAI J. Comput. Math. 6, 187-226 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M08 65M12 76M10 76M12 35L65 35A15 35Q30 35Q35 76B15 76D05 86A15 35R35 × Cite Format Result Cite Review PDF Full Text: DOI
Kuroki, Hidesato; Soga, Kohei On convergence of Chorin’s projection method to a Leray-Hopf weak solution. (English) Zbl 1451.35111 Numer. Math. 146, No. 2, 401-433 (2020). MSC: 35Q30 76D05 35D30 65M06 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deteix, J.; Yakoubi, D. Shear rate projection schemes for non-Newtonian fluids. (English) Zbl 1441.76014 Comput. Methods Appl. Mech. Eng. 354, 620-636 (2019). MSC: 76A05 35Q35 76M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Battista, Francesco; Mollicone, J.-P.; Gualtieri, P.; Messina, R.; Casciola, C. M. Exact regularised point particle (ERPP) method for particle-laden wall-bounded flows in the two-way coupling regime. (English) Zbl 1430.76238 J. Fluid Mech. 878, 420-444 (2019). MSC: 76F25 76T20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Fully discrete approximations to the time-dependent Navier-Stokes equations with a projection method in time and grad-div stabilization. (English) Zbl 1477.65158 J. Sci. Comput. 80, No. 2, 1330-1368 (2019); corrigenda ibid. 88, No. 2, Paper No. 40, 3 p. (2021). MSC: 65M60 35Q30 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ghai, Aditi; Lu, Cao; Jiao, Xiangmin A comparison of preconditioned Krylov subspace methods for large-scale nonsymmetric linear systems. (English) Zbl 1524.65131 Numer. Linear Algebra Appl. 26, No. 1, e2215, 35 p. (2019). MSC: 65F10 65N55 65F08 15A24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viguerie, Alex; Veneziani, Alessandro Algebraic splitting methods for the steady incompressible Navier-Stokes equations at moderate Reynolds numbers. (English) Zbl 1439.76101 Comput. Methods Appl. Mech. Eng. 330, 271-291 (2018). MSC: 76M10 65M22 35Q30 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem. (English) Zbl 1426.76245 Appl. Math. Comput. 322, 154-173 (2018). MSC: 76M10 65M60 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Godlewski, Edwige; Parisot, Martin; Sainte-Marie, Jacques; Wahl, Fabien Congested shallow water model: roof modeling in free surface flow. (English) Zbl 1417.35121 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1679-1707 (2018). MSC: 35Q35 35L65 76B07 76M12 74F10 35R35 65M08 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Stabile, Giovanni; Rozza, Gianluigi Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations. (English) Zbl 1410.76264 Comput. Fluids 173, 273-284 (2018). MSC: 76M12 65M08 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rong, Yao; Layton, William; Zhao, Haiyun Numerical analysis of an artificial compression method for magnetohydrodynamic flows at low magnetic Reynolds numbers. (English) Zbl 1396.76054 J. Sci. Comput. 76, No. 3, 1458-1483 (2018). MSC: 76M10 76W05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin Analysis of two decoupled time-stepping finite-element methods for incompressible fluids with microstructure. (English) Zbl 1387.65108 Int. J. Comput. Math. 95, No. 4, 686-709 (2018). MSC: 65M60 65M12 65M15 76M10 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Angot, Philippe; Cheaytou, Rima On the error estimates of the vector penalty-projection methods: second-order scheme. (English) Zbl 1419.76450 Math. Comput. 87, No. 313, 2159-2187 (2018). Reviewer: Kai Schneider (Marseille) MSC: 76M12 76D07 76D05 76D17 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Chen, Huangxin; Sun, Shuyu; Zhang, Tao Energy stability analysis of some fully discrete numerical schemes for incompressible Navier-Stokes equations on staggered grids. (English) Zbl 1398.65263 J. Sci. Comput. 75, No. 1, 427-456 (2018). MSC: 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
de Frutos, Javier; García-Archilla, Bosco; Novo, Julia Error analysis of projection methods for non inf-sup stable mixed finite elements: the Navier-Stokes equations. (English) Zbl 1404.65131 J. Sci. Comput. 74, No. 1, 426-455 (2018). MSC: 65M15 65M60 35Q30 76D05 76D07 76M10 76M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Piatkowski, Marian; Müthing, Steffen; Bastian, Peter A stable and high-order accurate discontinuous Galerkin based splitting method for the incompressible Navier-Stokes equations. (English) Zbl 1380.76044 J. Comput. Phys. 356, 220-239 (2018). MSC: 76M10 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Quarteroni, A.; Manzoni, A.; Vergara, C. The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. (English) Zbl 1376.92016 Acta Numerica 26, 365-590 (2017). MSC: 92C30 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Guillén-González, F.; Redondo-Neble, M. V. Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations. (English) Zbl 1364.35239 J. Comput. Appl. Math. 321, 348-370 (2017). MSC: 35Q30 65N15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Frutos, Javier; John, Volker; Novo, Julia Projection methods for incompressible flow problems with WENO finite difference schemes. (English) Zbl 1351.76200 J. Comput. Phys. 309, 368-386 (2016). MSC: 76M20 65M06 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Parisot, Martin; Vila, Jean-Paul Centered-potential regularization for the advection upstream splitting method. (English) Zbl 1515.35029 SIAM J. Numer. Anal. 54, No. 5, 3083-3104 (2016). MSC: 35A35 35B40 35L60 65M12 76E20 76M12 86A05 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Sainte-Marie, Jacques A combined finite volume – finite element scheme for a dispersive shallow water system. (English) Zbl 1431.76087 Netw. Heterog. Media 11, No. 1, 1-27 (2016). MSC: 76M10 76M12 76B15 65M06 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bänsch, E.; Brenner, A. A posteriori error estimates for pressure-correction schemes. (English) Zbl 1403.76038 SIAM J. Numer. Anal. 54, No. 4, 2323-2358 (2016). MSC: 76M10 65M60 35J05 35Q30 65M12 65M15 65M22 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI Link
Celledoni, Elena; Kometa, Bawfeh Kingsley; Verdier, Olivier High order semi-Lagrangian methods for the incompressible Navier-Stokes equations. (English) Zbl 1375.76034 J. Sci. Comput. 66, No. 1, 91-115 (2016). MSC: 76D05 65M70 76M22 76M10 65M60 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Axelsson, Owe; He, Xin; Neytcheva, Maya Numerical solution of the time-dependent Navier-Stokes equation for variable density-variable viscosity. I. (English) Zbl 1488.76084 Math. Model. Anal. 20, No. 2, 232-260 (2015). MSC: 76M10 65F10 65F08 65M60 65M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Sousa, Fabricio S.; Oishi, Cassio M.; Buscaglia, Gustavo C. Spurious transients of projection methods in microflow simulations. (English) Zbl 1423.76103 Comput. Methods Appl. Mech. Eng. 285, 659-693 (2015). MSC: 76D05 76M20 76M10 35Q35 65M06 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Yi; Yim, Solomon C.; Del Pin, Facundo A nonoverlapping heterogeneous domain decomposition method for three-dimensional gravity wave impact problems. (English) Zbl 1390.76384 Comput. Fluids 106, 154-170 (2015). MSC: 76M10 76M15 76D05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Wiens, Jeffrey K.; Stockie, John M. An efficient parallel immersed boundary algorithm using a pseudo-compressible fluid solver. (English) Zbl 1351.76130 J. Comput. Phys. 281, 917-941 (2015). MSC: 76M12 74F10 76D27 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Chun; Shen, Jie; Yang, Xiaofeng Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density. (English) Zbl 1326.76064 J. Sci. Comput. 62, No. 2, 601-622 (2015). MSC: 76M10 65M60 65M70 76D05 76D27 76T99 × Cite Format Result Cite Review PDF Full Text: DOI
Cabrales, R. C.; Guillén-González, F.; Gutiérrez-Santacreu, J. V. A time-splitting finite-element stable approximation for the Ericksen-Leslie equations. (English) Zbl 1321.35153 SIAM J. Sci. Comput. 37, No. 2, B261-B282 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 65M60 76A15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Boyer, F.; Dardalhon, F.; Lapuerta, C.; Latché, J.-C. Stability of a Crank-Nicolson pressure correction scheme based on staggered discretizations. (English) Zbl 1455.76080 Int. J. Numer. Methods Fluids 74, No. 1, 34-58 (2014). MSC: 76M10 65M60 65M12 76N99 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Bänsch, Eberhard A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition. (English) Zbl 1423.76208 Comput. Methods Appl. Mech. Eng. 279, 198-211 (2014). MSC: 76M10 65M60 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Grandmont, Céline; Lukáčová-Medvid’ová, Mária; Nečasová, Šárka Mathematical and numerical analysis of some FSI problems. (English) Zbl 1365.74066 Bodnár, Tomáš (ed.) et al., Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0821-7/hbk; 978-3-0348-0822-4/ebook). Advances in Mathematical Fluid Mechanics, 1-77 (2014). MSC: 74F10 76D05 74S05 76M10 35Q74 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Bowers, Abigail L.; Le Borne, Sabine; Rebholz, Leo G. Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization. (English) Zbl 1296.76079 Comput. Methods Appl. Mech. Eng. 275, 1-19 (2014). MSC: 76M10 65M60 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Keating, Johnwill; Minev, Peter D. A fast algorithm for direct simulation of particulate flows using conforming grids. (English) Zbl 1349.76486 J. Comput. Phys. 255, 486-501 (2013). MSC: 76M20 65M06 76D05 76T25 × Cite Format Result Cite Review PDF Full Text: DOI
Olshanskii, Maxim A.; Xiong, Xin A connection between filter stabilization and eddy viscosity models. (English) Zbl 1277.76040 Numer. Methods Partial Differ. Equations 29, No. 6, 2061-2080 (2013). MSC: 76M10 76F65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J. Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. (English) Zbl 1307.65145 Math. Comput. 81, No. 280, 1951-1977 (2012). MSC: 65N12 65N15 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shirokoff, D.; Rosales, R. R. An efficient method for the incompressible Navier-Stokes equations on irregular domains with no-slip boundary conditions, high order up to the boundary. (English) Zbl 1426.76489 J. Comput. Phys. 230, No. 23, 8619-8646 (2011). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guermond, J. L.; Minev, P. D. A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. (English) Zbl 1228.76095 Comput. Methods Appl. Mech. Eng. 200, No. 23-24, 2083-2093 (2011). MSC: 76M20 76D05 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jie; Yang, Xiaofeng Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows. (English) Zbl 1400.65049 Chin. Ann. Math., Ser. B 31, No. 5, 743-758 (2010). MSC: 65M12 65M70 35K55 76D05 80A22 × Cite Format Result Cite Review PDF Full Text: DOI
Astorino, M.; Grandmont, C. Convergence analysis of a projection semi-implicit coupling scheme for fluid-structure interaction problems. (English) Zbl 1426.74124 Numer. Math. 116, No. 4, 721-767 (2010). MSC: 74F10 76D07 76M10 65N15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Donatelli, Donatella On the artificial compressibility method for the Navier-Stokes-Fourier system. (English) Zbl 1197.35191 Q. Appl. Math. 68, No. 3, 469-485 (2010). MSC: 35Q30 35B35 35Q35 76D03 76D05 35A35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Carneiro de Araujo, J. H.; Gomes, P. D.; Ruas, V. Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow. (English) Zbl 1425.76025 J. Comput. Appl. Math. 234, No. 8, 2562-2577 (2010). MSC: 76A10 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, Jean-Luc; Minev, Peter D. A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting. (English. Abridged French version) Zbl 1352.76090 C. R., Math., Acad. Sci. Paris 348, No. 9-10, 581-585 (2010). MSC: 76M25 76D05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sukhov, V. B. Splitting schemes for the Ocean dynamics equations. (English. Russian original) Zbl 1304.86002 Mosc. Univ. Math. Bull. 64, No. 1, 29-33 (2009); translation from Vest. Mosk. Univ. Mat. Mekh. 64, No. 1, 28-33 (2009). MSC: 86A05 86-08 35Q35 65M06 76B15 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Salgado, Abner A splitting method for incompressible flows with variable density based on a pressure Poisson equation. (English) Zbl 1159.76028 J. Comput. Phys. 228, No. 8, 2834-2846 (2009). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Févrière, C.; Laminie, J.; Poullet, P.; Angot, Ph. On the penalty-projection method for the Navier-Stokes equations with the MAC mesh. (English) Zbl 1409.76023 J. Comput. Appl. Math. 226, No. 2, 228-245 (2009). MSC: 76D05 65M06 76M25 × Cite Format Result Cite Review PDF Full Text: DOI
Badia, S.; Codina, R. Algebraic pressure segregation methods for the incompressible Navier-Stokes equations. (English) Zbl 1144.76027 Arch. Comput. Methods Eng. 15, No. 3, 343-369 (2008). MSC: 76M10 76M20 76M25 76D05 76-02 × Cite Format Result Cite Review PDF Full Text: DOI Link
Veneziani, Alessandro; Vergara, Christian An approximate method for solving incompressible Navier-Stokes problems with flow rate conditions. (English) Zbl 1173.76355 Comput. Methods Appl. Mech. Eng. 196, No. 9-12, 1685-1700 (2007). MSC: 76M10 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Badia, Santiago; Codina, Ramon Convergence analysis of the FEM approximation of the first-order projection method for incompressible flows with and without the inf-sup condition. (English) Zbl 1132.76029 Numer. Math. 107, No. 4, 533-557 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guermond, J. L.; Minev, P.; Shen, Jie An overview of projection methods for incompressible flows. (English) Zbl 1122.76072 Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 6011-6045 (2006). MSC: 76M99 76D05 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, Ramon; Badia, Santiago On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems. (English) Zbl 1121.76032 Comput. Methods Appl. Mech. Eng. 195, No. 23-24, 2900-2918 (2006). Reviewer: Hari Krishan Verma (Ludhiana) MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Codina, R.; Coppola-Owen, H.; Nithiarasu, P.; Liu, C.-B. Numerical comparison of CBS and SGS as stabilization techniques for the incompressible Navier-Stokes equations. (English) Zbl 1110.76312 Int. J. Numer. Methods Eng. 66, No. 10, 1672-1689 (2006). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gervasio, Paola; Saleri, Fausto; Veneziani, Alessandro Algebraic fractional-step schemes with spectral methods for the incompressible Navier–Stokes equations. (English) Zbl 1137.76338 J. Comput. Phys. 214, No. 1, 347-365 (2006). MSC: 76D05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
John, Volker On the efficiency of linearization schemes and coupled multigrid methods in the simulation of a 3D flow around a cylinder. (English) Zbl 1086.76039 Int. J. Numer. Methods Fluids 50, No. 7, 845-862 (2006). MSC: 76M10 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. (English) Zbl 1085.76037 ESAIM, Math. Model. Numer. Anal. 39, No. 6, 1115-1147 (2005). MSC: 76M10 76D05 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Schlatter, P.; Adams, N. A.; Kleiser, L. A windowing method for periodic inflow/outflow boundary treatment of non-periodic flows. (English) Zbl 1120.76351 J. Comput. Phys. 206, No. 2, 505-535 (2005). MSC: 76M25 65M99 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Nochetto, Ricardo H.; Pyo, Jae-Hong Error estimates for semi-discrete gauge methods for the Navier-Stokes equations. (English) Zbl 1085.76058 Math. Comput. 74, No. 250, 521-542 (2005). MSC: 76M25 76D05 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J. L.; Shen, Jie On the error estimates for the rotational pressure-correction projection methods. (English) Zbl 1093.76050 Math. Comput. 73, No. 248, 1719-1737 (2004). MSC: 76M25 76D05 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Akimov, V. V. Additive Schwarz preconditioner for the Neumann problem with a boundary layer. (English) Zbl 1041.65099 Russ. J. Numer. Anal. Math. Model. 18, No. 3, 185-206 (2003). MSC: 65N55 35J25 65F10 65F35 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Jang, Gang-Won; Jeong, Je Hyun; Kim, Yoon Young; Sheen, Dongwoo; Park, Chunjae; Kim, Myoung-Nyoun Checkerboard-free topology optimization using non-conforming finite elements. (English) Zbl 1062.74590 Int. J. Numer. Methods Eng. 57, No. 12, 1717-1735 (2003). MSC: 74P15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Pozrikidis, C. On the relationship between the pressure and the projection function in the numerical computation of viscous incompressible flow. (English) Zbl 1051.76595 Eur. J. Mech., B, Fluids 22, No. 2, 105-121 (2003). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Ben Yu; Zou, Jun Fourier spectral projection method and nonlinear convergence analysis for Navier–Stokes equations. (English) Zbl 1040.35061 J. Math. Anal. Appl. 282, No. 2, 766-791 (2003). Reviewer: Nicolae Pop (Baia Mare) MSC: 35Q30 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
John, Volker Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations. (English) Zbl 1076.76544 Int. J. Numer. Methods Fluids 40, No. 6, 775-798 (2002). MSC: 76M10 76D05 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, R.; Zienkiewicz, O. C. CBS versus GLS stabilization of the incompressible Navier-Stokes equations and the role of the time step as stabilization parameter. (English) Zbl 1093.76528 Commun. Numer. Methods Eng. 18, No. 2, 99-112 (2002). MSC: 76D05 35Q30 76M25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Auteri, F.; Parolini, N. A mixed-basis spectral projection method. (English) Zbl 1039.76049 J. Comput. Phys. 175, No. 1, 1-23 (2002). MSC: 76M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Guermond, J.-L.; Parolini, N. Role of the LBB condition in weak spectral projection methods. (English) Zbl 1007.76056 J. Comput. Phys. 174, No. 1, 405-420 (2001). MSC: 76M22 76D05 65M70 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Saleri, F.; Vigevano, L. Incompressible Navier-Stokes solutions by a triangular spectral/\(p\) element projection method. (English) Zbl 0996.76043 Comput. Methods Appl. Mech. Eng. 190, No. 51-52, 6927-6945 (2001). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Junk, Michael A finite difference interpretation of the lattice Boltzmann method. (English) Zbl 0987.76082 Numer. Methods Partial Differ. Equations 17, No. 4, 383-402 (2001). MSC: 76M28 76M20 76P05 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Codina, Ramon Pressure stability in fractional step finite element methods for incompressible flows. (English) Zbl 1002.76063 J. Comput. Phys. 170, No. 1, 112-140 (2001). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Codina, Ramon Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods. (English) Zbl 0998.76047 Comput. Methods Appl. Mech. Eng. 190, No. 13-14, 1579-1599 (2000). MSC: 76M10 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Quarteroni, Alfio; Saleri, Fausto; Veneziani, Alessandro Factorization methods for the numerical approximation of Navier-Stokes equations. (English) Zbl 0976.76044 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 505-526 (2000). MSC: 76M10 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Codina, Ramon; Blasco, Jordi Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection. (English) Zbl 0986.76037 Comput. Methods Appl. Mech. Eng. 182, No. 3-4, 277-300 (2000). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Junk, Michael; Raghurama Rao, S. V. A new discrete velocity method for Navier-Stokes equations. (English) Zbl 0946.76077 J. Comput. Phys. 155, No. 1, 178-198 (1999). MSC: 76M28 76D05 76P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Braess, Dietrich; Sarazin, R. An efficient smoother for the Stokes problem. (English) Zbl 0874.65095 Appl. Numer. Math. 23, No. 1, 3-19 (1997). Reviewer: S.Migorski (Krakow) MSC: 65N55 65F10 35Q30 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Turek, Stefan On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmical approach. (English) Zbl 0898.76069 Comput. Methods Appl. Mech. Eng. 143, No. 3-4, 271-288 (1997). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Turek, Stefan A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: From fully implicit nonlinear schemes to semi-implicit projection methods. (English) Zbl 0864.76052 Int. J. Numer. Methods Fluids 22, No. 10, 987-1011 (1996). MSC: 76M10 76M20 76D05 65M20 × Cite Format Result Cite Review PDF Full Text: DOI