Ong, Kian Chuan; Seol, Yunchang; Lai, Ming-Chih An immersed boundary projection method for solving the fluid-rigid body interaction problems. (English) Zbl 07561060 J. Comput. Phys. 466, Article ID 111367, 17 p. (2022). MSC: 76Mxx 76Dxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Ong, Kian Chuan; Lai, Ming-Chih; Seol, Yunchang An immersed boundary projection method for incompressible interface simulations in 3D flows. (English) Zbl 07506522 J. Comput. Phys. 430, Article ID 110090, 18 p. (2021). MSC: 76Mxx 76Dxx 76Zxx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Mingyang; Gao, Guangjun; Zhu, Huifen; Jiang, Chen A cell-based smoothed finite element method stabilized by implicit SUPG/SPGP/fractional step method for incompressible flow. (English) Zbl 1464.76056 Eng. Anal. Bound. Elem. 124, 194-210 (2021). MSC: 76M10 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ong, Kian Chuan; Lai, Ming-Chih An immersed boundary projection method for simulating the inextensible vesicle dynamics. (English) Zbl 07505613 J. Comput. Phys. 408, Article ID 109277, 18 p. (2020). MSC: 76-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Perot, J. Blair; Sanchez-Rocha, Martin; Malan, Paul A fractional-step method for steady-state flow. (English) Zbl 1453.76106 J. Comput. Phys. 403, Article ID 109057, 19 p. (2020). MSC: 76M12 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Deteix, J.; Yakoubi, D. Improving the pressure accuracy in a projection scheme for incompressible fluids with variable viscosity. (English) Zbl 1459.76078 Appl. Math. Lett. 79, 111-117 (2018). MSC: 76M10 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Lovrić, A.; Dettmer, Wulf G.; Kadapa, Chennakesava; Perić, Djordje A new family of projection schemes for the incompressible Navier-Stokes equations with control of high-frequency damping. (English) Zbl 1440.76077 Comput. Methods Appl. Mech. Eng. 339, 160-183 (2018). MSC: 76M10 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Y. Y.; Chan, C. K.; Zhou, L. X. Large eddy simulation of an ethylene-air turbulent premixed V-flame. (English) Zbl 1432.76131 J. Comput. Appl. Math. 235, No. 13, 3768-3774 (2011). MSC: 76F65 76F80 × Cite Format Result Cite Review PDF Full Text: DOI
Markert, B.; Heider, Y.; Ehlers, W. Comparison of monolithic and splitting solution schemes for dynamic porous media problems. (English) Zbl 1188.74065 Int. J. Numer. Methods Eng. 82, No. 11, 1341-1383 (2010). MSC: 74S05 74F10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Colonius, Tim; Taira, Kunihiko A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions. (English) Zbl 1158.76395 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2131-2146 (2008). MSC: 76M25 76D05 76M12 × Cite Format Result Cite Review PDF Full Text: DOI
Le Roux, D. Y.; Robert, J. L.; Gabbouhy, M. A non-conforming finite element method for solving non-hydrostatic free-surface flow problems. (English) Zbl 1142.76031 Int. J. Numer. Methods Fluids 58, No. 1, 91-109 (2008). MSC: 76M10 76D33 76D05 76D27 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Kunlun; Pletcher, Richard H. A fractional step method for solving the compressible Navier-Stokes equations. (English) Zbl 1388.76209 J. Comput. Phys. 226, No. 2, 1930-1951 (2007). MSC: 76M20 65M06 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
Taira, Kunihiko; Colonius, Tim The immersed boundary method: a projection approach. (English) Zbl 1343.76027 J. Comput. Phys. 225, No. 2, 2118-2137 (2007). MSC: 76M12 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Tu, Shuangzhang; Aliabadi, Shahrouz Development of a hybrid finite volume/element solver for incompressible flows. (English) Zbl 1205.76173 Int. J. Numer. Methods Fluids 55, No. 2, 177-203 (2007). MSC: 76M12 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Marra, A.; Quartapelle, L. Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. (English) Zbl 1121.76036 Comput. Methods Appl. Mech. Eng. 195, No. 44-47, 5857-5876 (2006). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Changfeng The finite element analysis of the controlled-source electromagnetic induction problems by fractional-step projection method. (English) Zbl 1210.65190 J. Comput. Math. 22, No. 4, 557-566 (2004). Reviewer: Johannes Elschner (Berlin) MSC: 65N30 78M10 × Cite Format Result Cite Review PDF
Bao, Weizhu; Jin, Shi Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms. (English) Zbl 1063.65094 Appl. Numer. Math. 43, No. 4, 315-333 (2002). MSC: 65M15 65M60 35L65 65C35 × 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
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
Guermond, J.-L.; Quartapelle, L. A projection FEM for variable-density incompressible flows. (English) Zbl 0994.76051 J. Comput. Phys. 165, No. 1, 167-188 (2000). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Achdou, Y.; Guermond, J.-L. Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. (English) Zbl 0966.76041 SIAM J. Numer. Anal. 37, No. 3, 799-826 (2000). Reviewer: Muhammad Aslam Noor (Halifax) MSC: 76M10 76D05 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Armfield, S.; Street, R. The fractional-step method for the Navier-Stokes equations on staggered grids: The accuracy of three variations. (English) Zbl 0965.76058 J. Comput. Phys. 153, No. 2, 660-665 (1999). Reviewer: Pavel Burda (Praha) MSC: 76M20 76M12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Cummins, Sharen J.; Rudman, Murray An SPH projection method. (English) Zbl 0954.76074 J. Comput. Phys. 152, No. 2, 584-607 (1999). MSC: 76M28 76E17 76N15 × Cite Format Result Cite Review PDF Full Text: DOI
Lien, Ho-Cheng; Hsieh, Te-Yung; Yang, Jinn-Chuang Use of two-step split-operator approach for 2D shallow water flow computation. (English) Zbl 0946.76060 Int. J. Numer. Methods Fluids 30, No. 5, 557-575 (1999). MSC: 76M20 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Kobayashi, Marcelo H.; Pereira, José M. C.; Pereira, José C. F. A conservative finite-volume second-order-accurate projection method on hybrid unstructured grids. (English) Zbl 0934.76049 J. Comput. Phys. 150, No. 1, 40-75 (1999). MSC: 76M12 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, Jean-Luc A result on second order convergence in time for the approximation of the Navier-Stokes equations by an incremental projection technique. (Un résultat de convergence d’ordre deux en temps pour l’approximation des équations de Navier-Stokes par une technique de projection incrémentale.) (French) Zbl 0921.76123 M2AN, Math. Model. Numer. Anal. 33, No. 1, 169-189 (1999). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Oswald, Hubertus Parallel solution of the instationary incompressible Navier-Stokes equations. (Parallele Lösung der instationären inkompressiblen Navier-Stokes Gleichungen.) (German) Zbl 1027.76001 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät, 108 S. (1998). Reviewer: Etienne Emmrich (Berlin) MSC: 76-02 76M10 76D05 65Y05 × Cite Format Result Cite Review PDF
Guermond, Jean.-L.; Quartapelle, Luigi On incremental projection methods. (English) Zbl 0973.76066 Salvi, Rodolfo (ed.), Navier-Stokes equations. Theory and numerical methods. Proceedings of the international conference, Varenna, Lecco, Italy, June 2-6, 1997. Harlow: Longman. Pitman Res. Notes Math. Ser. 388, 277-288 (1998). Reviewer: Qin Mengzhao (Beijing) MSC: 76M20 76D05 × Cite Format Result Cite Review PDF
Rider, W. J.; Kothe, D. B.; Puckett, E. G.; Aleinov, I. D. Accurate and robust methods for variable density incompressible flows with discontinuities. (English) Zbl 0942.76059 Venkatakrishnan, V. (ed.) et al., Barriers and challenges in computational fluid dynamics. Proceedings of the ICASE/ LaRC workshop, Hampton, VA, USA, August 5-7, 1996. Dordrecht: Kluwer Academic Publishers. ICASE/LaRC Interdisciplinary Series in Science and Engineering. 6, 213-230 (1998). MSC: 76M25 76M20 76D45 76T10 × Cite Format Result Cite Review PDF
Guermond, J.-L.; Quartapelle, L. On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. (English) Zbl 0914.76051 Numer. Math. 80, No. 2, 207-238 (1998). MSC: 76M10 76D05 65M12 35Q30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Howell, Louis H.; Bell, John B. An adaptive mesh projection method for viscous incompressible flow. (English) Zbl 0901.76057 SIAM J. Sci. Comput. 18, No. 4, 996-1013 (1997). MSC: 76M25 76D05 65M50 × Cite Format Result Cite Review PDF Full Text: DOI
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S. Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. (English) Zbl 0882.76056 Hackbusch, Wolfgang (ed.) et al., Fast solvers for flow problems. Proceedings of the tenth GAMM-Seminar Kiel, Germany, January 14–16, 1994. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 49, 175-191 (1995). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF
Pinelli, A.; Vacca, A. A new multi-domain algorithm for the spectral solution of the incompressible Navier-Stokes equations. (English) Zbl 0874.76066 Hebeker, Friedrich-Karl (ed.) et al., Numerical methods for the Navier-Stokes equations. Proceedings of the international workshop held, Heidelberg, Germany, October 25-28, 1993. Braunschweig: Vieweg. Notes Numer. Fluid Mech. 47, 199-206 (1994). MSC: 76M25 76D05 65M70 65M55 × Cite Format Result Cite Review PDF
Rannacher, R. On the numerical solution of the incompressible Navier-Stokes equations. (English) Zbl 0798.76069 Z. Angew. Math. Mech. 73, No. 9, 203-216 (1993). MSC: 76M25 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Pierra, G. Decomposition through formalization in a product space. (English) Zbl 0523.49022 Math. Program. 28, 96-115 (1984). MSC: 49M27 52A40 90C25 52A07 49M25 49M30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI