Li, Wen-Ran; Yang, Rong; Yang, Xin-Guang Weak adversarial networks for solving forward and inverse problems involving 2D incompressible Navier-Stokes equations. (English) Zbl 1549.35342 Comput. Appl. Math. 43, No. 1, Paper No. 61, 18 p. (2024). MSC: 35Q30 35D30 65M22 65M32 68T07 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Han; Ying, Wenjun A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces. (English) Zbl 07807974 J. Comput. Phys. 496, Article ID 112545, 18 p. (2024). MSC: 65Nxx 35Jxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ji, Xinjie; Gabbard, James; van Rees, Wim M. A sharp immersed method for 2D flow-body interactions using the vorticity-velocity Navier-Stokes equations. (English) Zbl 07766227 J. Comput. Phys. 494, Article ID 112513, 22 p. (2023). MSC: 76Mxx 76Dxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruppenthal, Falko; Kuzmin, Dmitri Optimal control using flux potentials: a way to construct bound-preserving finite element schemes for conservation laws. (English) Zbl 07715688 J. Comput. Appl. Math. 434, Article ID 115351, 16 p. (2023). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gabbard, James; Gillis, Thomas; Chatelain, Philippe; van Rees, Wim M. An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies. (English) Zbl 07540372 J. Comput. Phys. 464, Article ID 111339, 27 p. (2022). MSC: 76Mxx 65Mxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mildenberger, Sophie; Quellmalz, Michael Approximation properties of the double Fourier sphere method. (English) Zbl 1485.42011 J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022). MSC: 42B05 42C10 43A90 65T50 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiarini, A.; Quadrio, M.; Auteri, F. A direction-splitting Navier-Stokes solver on co-located grids. (English) Zbl 07500755 J. Comput. Phys. 429, Article ID 110023, 20 p. (2021). MSC: 76Mxx 76Dxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Petrov, Sergey S.; Iakovlev, Nikolay G. The suite of Taylor-Galerkin class schemes for ice transport on sphere implemented by the INMOST package. (English) Zbl 1528.65080 Russ. J. Numer. Anal. Math. Model. 36, No. 4, 227-238 (2021). MSC: 65M60 65N30 65N12 65Y05 76M10 86A05 35Q35 35Q49 × Cite Format Result Cite Review PDF Full Text: DOI
Torabi, Mina; Pastor, Manuel; Stickle, Miguel Martín Three-step predictor-corrector finite element schemes for consolidation equation. (English) Zbl 1544.76077 Math. Probl. Eng. 2020, Article ID 2873869, 14 p. (2020). MSC: 76M10 65M60 74F10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Kuzmin, Dmitri; Quezada de Luna, Manuel Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws. (English) Zbl 1506.74413 Comput. Methods Appl. Mech. Eng. 372, Article ID 113370, 20 p. (2020). MSC: 74S05 65M60 35L45 35L65 70S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Müllner, M.; Schröder, W. A novel solution method for unsteady incompressible Euler flow using the vorticity-Bernoulli-pressure formulation. (English) Zbl 1436.76050 J. Comput. Phys. 413, Article ID 109462, 14 p. (2020). MSC: 76M23 76M28 76B47 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ju-Li On SSOR-like preconditioner for saddle point problems with dominant skew-Hermitian part. (English) Zbl 1503.65062 Int. J. Comput. Math. 96, No. 4, 782-796 (2019). MSC: 65F08 65F10 65N22 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Greengard, Leslie; Jiang, Shidong A new mixed potential representation for unsteady, incompressible flow. (English) Zbl 1429.35055 SIAM Rev. 61, No. 4, 733-755 (2019). MSC: 35J05 35J08 35K05 35K08 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yek, Vorleak Numerical investigation on the projection method for the incompressible Navier-Stokes equations on MAC grid. (English) Zbl 1497.65141 Grad. J. Math. 3, No. 2, 108-123 (2018). MSC: 65M06 65F05 × Cite Format Result Cite Review PDF Full Text: Link
Torabi, Mina; Hosseini, Mohammad-Mehdi A new efficient method for the numerical solution of linear time-dependent partial differential equations. (English) Zbl 1432.65159 Axioms 7, No. 4, Paper No. 70, 13 p. (2018). MSC: 65M70 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
DeCaria, Victor; Layton, William; McLaughlin, Michael A conservative, second order, unconditionally stable artificial compression method. (English) Zbl 1439.76059 Comput. Methods Appl. Mech. Eng. 325, 733-747 (2017). MSC: 76M10 65M60 35Q30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ke; Zhang, Ju-Li; Gu, Chuan-Qing A new relaxed PSS preconditioner for nonsymmetric saddle point problems. (English) Zbl 1411.65046 Appl. Math. Comput. 308, 115-129 (2017). MSC: 65F08 65F10 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Haijian; Cai, Xiao-Chuan Two-level space-time domain decomposition methods for flow control problems. (English) Zbl 1404.65157 J. Sci. Comput. 70, No. 2, 717-743 (2017). MSC: 65M55 65Y05 76D05 65M06 35Q30 49K20 49M15 80A20 35Q79 93C20 65F08 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Kalita, Jiten C.; Gogoi, Bidyut B. A biharmonic approach for the global stability analysis of 2D incompressible viscous flows. (English) Zbl 1471.76050 Appl. Math. Modelling 40, No. 15-16, 6831-6849 (2016). MSC: 76M20 76D05 35B30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Young, D. L.; Hu, S. P.; Wu, C. S. Localized radial basis function scheme for multidimensional transient generalized Newtonian fluid dynamics and heat transfer. (English) Zbl 1403.76143 Eng. Anal. Bound. Elem. 64, 68-89 (2016). MSC: 76M22 65M70 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Stylianou, F. S.; Pecnik, R.; Kassinos, S. C. Analyzing a turbulent pipe flow via the one-point structure tensors: vorticity crawlers and streak shadows. (English) Zbl 1390.76224 Comput. Fluids 140, 450-477 (2016). MSC: 76F65 × Cite Format Result Cite Review PDF Full Text: DOI
Vartdal, Magnus Computing turbulence structure tensors in plane channel flow. (English) Zbl 1390.76093 Comput. Fluids 136, 207-211 (2016). MSC: 76F02 × Cite Format Result Cite Review PDF Full Text: DOI
Kosaka, Humiya; Maekawa, Yasunori On vorticity formulation for viscous incompressible flows in \(R_+^3\). (English) Zbl 1338.35368 Amann, Herbert (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 351-374 (2016). MSC: 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
San, O.; Staples, A. E.; Iliescu, T. A posteriori analysis of low-pass spatial filters for approximate deconvolution large eddy simulations of homogeneous incompressible flows. (English) Zbl 07514814 Int. J. Comput. Fluid Dyn. 29, No. 1, 40-66 (2015). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mansutti, D.; Bucchignani, E.; Otero, J.; Glowacki, P. Modeling and numerical sensitivity study on the conjecture of a subglacial lake at Amundsenisen, Svalbard. (English) Zbl 1443.86024 Appl. Math. Modelling 39, No. 15, 4266-4284 (2015). MSC: 86A40 76M12 86-10 × Cite Format Result Cite Review PDF Full Text: DOI
Olshanskii, Maxim A.; Heister, Timo; Rebholz, Leo G.; Galvin, Keith J. Natural vorticity boundary conditions on solid walls. (English) Zbl 1423.76100 Comput. Methods Appl. Mech. Eng. 297, 18-37 (2015). MSC: 76D05 35Q30 76M10 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Stylianou, F. S.; Pecnik, R.; Kassinos, S. C. A general framework for computing the turbulence structure tensors. (English) Zbl 1390.76223 Comput. Fluids 106, 54-66 (2015). MSC: 76F65 × Cite Format Result Cite Review PDF Full Text: DOI Link
Smith, B.; Laoulache, R.; Heryudono, A. Implementation of Neumann boundary condition with influence matrix method for viscous annular flow using pseudospectral collocation. (English) Zbl 1325.76134 J. Comput. Appl. Math. 285, 100-115 (2015). MSC: 76M22 65M70 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
San, O. A dynamic eddy-viscosity closure model for large eddy simulations of two-dimensional decaying turbulence. (English) Zbl 1529.76046 Int. J. Comput. Fluid Dyn. 28, No. 6-10, 363-382 (2014). MSC: 76F65 × Cite Format Result Cite Review PDF Full Text: DOI
Carrington, David B.; Dominic A., Muñoz; Heinrich, Juan C. Modelling fluid flow in domains containing moving interfaces. (English) Zbl 1400.76038 Prog. Comput. Fluid Dyn. 14, No. 3, 139-150 (2014). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Tagliabue, Anna; Dedè, Luca; Quarteroni, Alfio Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics. (English) Zbl 1391.76360 Comput. Fluids 102, 277-303 (2014). MSC: 76M10 65N30 65D17 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Soudah, Eduardo; Rossi, Riccardo; Idelsohn, Sergio; Oñate, Eugenio A reduced-order model based on the coupled 1D-3D finite element simulations for an efficient analysis of hemodynamics problems. (English) Zbl 1311.76156 Comput. Mech. 54, No. 4, 1013-1022 (2014). MSC: 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Shi, Huandi; Lin, Ping; Li, Botong; Zheng, Liancun A finite element method for heat transfer of power-law flow in channels with a transverse magnetic field. (English) Zbl 1426.76307 Math. Methods Appl. Sci. 37, No. 8, 1121-1129 (2014). MSC: 76M10 76A05 76W05 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Ponta, F. L.; Otero, A. D. High-order implementation of the kinematic Laplacian equation method by spectral elements. (English) Zbl 1390.65154 Comput. Fluids 76, 11-22 (2013). MSC: 65N35 65N30 35Q30 76D05 76M22 76M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abbasi, R.; Ashrafizadeh, A.; Shadaram, A. A comparative study of finite volume pressure-correction projection methods on co-located grid arrangements. (English) Zbl 1285.76021 Comput. Fluids 81, 68-84 (2013). MSC: 76M12 76D05 65M08 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Jian-Hui; Zhuang, Zhuo A consistent projection-based SUPG/PSPG XFEM for incompressible two-phase flows. (English) Zbl 1345.76082 Acta Mech. Sin. 28, No. 5, 1309-1322 (2012). MSC: 76M10 76Txx × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Jitendra; Glière, Alain; Achard, Jean-Luc A novel non-primitive boundary integral equation method for three-dimensional and axisymmetric Stokes flows. (English) Zbl 1293.76094 Meccanica 47, No. 8, 2013-2026 (2012). MSC: 76M15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Haijian; Prudencio, Ernesto E.; Cai, Xiao-Chuan Fully implicit Lagrange-Newton-Krylov-Schwarz algorithms for boundary control of unsteady incompressible flows. (English) Zbl 1253.65145 Int. J. Numer. Methods Eng. 91, No. 6, 644-665 (2012). MSC: 65M55 76D55 49M25 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Malossi, A. Cristiano I.; Blanco, Pablo J.; Deparis, Simone A two-level time step technique for the partitioned solution of one-dimensional arterial networks. (English) Zbl 1253.76141 Comput. Methods Appl. Mech. Eng. 237-240, 212-226 (2012). MSC: 76Z05 92C35 92C42 74F10 74L15 × Cite Format Result Cite Review PDF Full Text: DOI Link
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
Nallasamy, Kumaresan; Ratnavelu, Kuru; Wong, Bernardine R. Optimal control for Navier-Stokes Takagi-Sugeno fuzzy equations using Simulink. (English) Zbl 1210.93042 Balasubramaniam, P. (ed.), Control, computation and information systems. First international conference on logic, information, control and computation, ICLICC 2011, Gandhigram, India, February 25–27, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-19262-3/pbk; 978-3-642-19263-0/ebook). Communications in Computer and Information Science 140, 57-64 (2011). MSC: 93C42 93B18 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Ben-Artzi, M.; Croisille, J.-P.; Fishelov, D. A high order compact scheme for the pure-streamfunction formulation of the Navier-Stokes equations. (English) Zbl 1203.76041 J. Sci. Comput. 42, No. 2, 216-250 (2010). MSC: 76D05 65M06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chen, Sheng; Tölke, Jonas; Krafczyk, Manfred A new method for the numerical solution of vorticity-streamfunction formulations. (English) Zbl 1228.76115 Comput. Methods Appl. Mech. Eng. 198, No. 3-4, 367-376 (2008). MSC: 76M28 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Alben, Silas An implicit method for coupled flow-body dynamics. (English) Zbl 1388.76194 J. Comput. Phys. 227, No. 10, 4912-4933 (2008). MSC: 76M20 74F10 76Z10 × Cite Format Result Cite Review PDF Full Text: DOI
Bassi, Francesco; Crivellini, Andrea; Di Pietro, Daniele A.; Rebay, Stefano An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows. (English) Zbl 1194.76102 Comput. Fluids 36, No. 10, 1529-1546 (2007). MSC: 76M10 76D05 76R10 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Quartapelle, L. Spectral solvers for spherical elliptic problems. (English) Zbl 1127.65088 J. Comput. Phys. 227, No. 1, 36-54 (2007). MSC: 65N35 65N12 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Ohmori, Katsushi; Saito, Norikazu Flux-free finite element method with Lagrange multipliers for two-fluid flows. (English) Zbl 1120.76043 J. Sci. Comput. 32, No. 2, 147-173 (2007). MSC: 76M10 76D05 76D50 76M30 × Cite Format Result Cite Review PDF Full Text: DOI
Tsangaris, S.; Kondaxakis, D.; Vlachakis, N. W. Exact solution for flow in a porous pipe with unsteady wall suction and/or injection. (English) Zbl 1113.76091 Commun. Nonlinear Sci. Numer. Simul. 12, No. 7, 1181-1189 (2007). MSC: 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Hafez, M.; Shatalov, A.; Wahba, E. Numerical simulations of incompressible aerodynamic flows using viscous/inviscid interaction procedures. (English) Zbl 1176.76079 Comput. Methods Appl. Mech. Eng. 195, No. 23-24, 3110-3127 (2006). MSC: 76M12 76D09 × Cite Format Result Cite Review PDF Full Text: DOI
Ponta, F. L. The kinematic Laplacian equation method. (English) Zbl 1213.76122 J. Comput. Phys. 207, No. 2, 405-426 (2005). MSC: 76M10 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ben-Artzi, Matania; Croisille, Jean-Pierre; Fishelov, Dalia; Trachtenberg, Shlomo A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations. (English) Zbl 1087.76025 J. Comput. Phys. 205, No. 2, 640-664 (2005). MSC: 76D05 65M06 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Linnick, Mark N.; Fasel, Hermann F. A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains. (English) Zbl 1143.76538 J. Comput. Phys. 204, No. 1, 157-192 (2005). MSC: 76M25 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Huerta, Antonio; Vidal, Yolanda; Villon, Pierre Pseudo-divergence-free element free Galerkin method for incompressible fluid flow. (English) Zbl 1060.76626 Comput. Methods Appl. Mech. Eng. 193, No. 12-14, 1119-1136 (2004). MSC: 76M25 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Swann, Howard On solenoidal high-degree polynomial approximations to solutions of the stationary Navier-Stokes equations. (English) Zbl 1042.35053 J. Comput. Appl. Math. 164-165, 691-706 (2004). MSC: 35Q30 76M10 65N30 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Quartapelle, L.; Vigevano, L. Accurate \(\omega-\psi \) spectral solution of the singular driven cavity problem. (English) Zbl 1143.76519 J. Comput. Phys. 180, No. 2, 597-615 (2002). MSC: 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Henriksen, Martin Ofstad; Holmen, Jens Algebraic splitting for incompressible Navier-Stokes equations. (English) Zbl 1059.76045 J. Comput. Phys. 175, No. 2, 438-453 (2002). MSC: 76M20 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Biava, M.; Modugno, D.; Quartapelle, L.; Stoppelli, M. Weak \(\psi-\omega\) formulation for unsteady flows in 2D multiply connected domains. (English) Zbl 1139.76309 J. Comput. Phys. 177, No. 2, 209-232 (2002). MSC: 76D05 76M25 65M06 65M60 76G25 × Cite Format Result Cite Review PDF Full Text: DOI
Swann, H. On approximating the solution of the non-stationary Stokes equations using the cell discretization algorithm. (English) Zbl 1009.76058 J. Comput. Appl. Math. 140, No. 1-2, 727-750 (2002). MSC: 76M10 76D07 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Botella, O. On a collocation B-spline method for the solution of the Navier-Stokes equations. (English) Zbl 1004.76059 Comput. Fluids 31, No. 4-7, 397-420 (2002). MSC: 76M20 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
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
Ben-Artzi, Matania; Fishelov, Dalia; Trachtenberg, Shlomo Vorticity dynamics and numerical resolution of Navier-Stokes equations. (English) Zbl 0987.35122 M2AN, Math. Model. Numer. Anal. 35, No. 2, 313-330 (2001). MSC: 35Q30 76M23 76D17 65M06 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
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
Liu, Jian-Guo; E, Weinan Simple finite element method in vorticity formulation for incompressible flows. (English) Zbl 0977.76048 Math. Comput. 70, No. 234, 579-593 (2001). MSC: 76M10 76D17 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Sheu, Tony W. H.; Chiang, T. P.; Liou, S. M. A compact monotonic discretization scheme for solving second-order vorticity-velocity equations. (English) Zbl 0997.76060 Comput. Methods Appl. Mech. Eng. 190, No. 11-12, 1407-1424 (2000). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Jian-Guo; Shu, Chi-Wang A high-order discontinuous Galerkin method for 2D incompressible flows. (English) Zbl 0963.76069 J. Comput. Phys. 160, No. 2, 577-596 (2000). MSC: 76M25 76M10 76B99 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Guermond, Jean-Luc; Quartapelle, Luigi; Zhu, Jiang On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions. (English) Zbl 0949.65116 M2AN, Math. Model. Numer. Anal. 34, No. 1, 183-200 (2000). Reviewer: Michel Bernadou (Le Chesnay) MSC: 65N30 35J05 65N15 35J50 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Napolitano, M.; Pascazio, G.; Quartapelle, L. A review of vorticity conditions in the numerical solution of the \(\zeta-\psi\) equations. (English) Zbl 0964.76075 Comput. Fluids 28, No. 2, 139-185 (1999). MSC: 76M99 76D05 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Sheu, T. W. H.; Tsai, S. F.; Hwang, W. S.; Chang, T. M. A finite element study of the blood flow in total cavopulmonary connection. (English) Zbl 0977.76525 Comput. Fluids 28, No. 1, 19-39 (1999). MSC: 76M10 76Z05 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jian; Sun, W. W. Spectral method of decoupling the vorticity and stream function for the incompressible fluid flows. (English) Zbl 0952.76066 Comput. Math. Appl. 37, No. 1, 35-40 (1999). MSC: 76M22 76D05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Auteri, F.; Quartapelle, L. Galerkin spectral method for the vorticity and stream function equations. (English) Zbl 0934.76065 J. Comput. Phys. 149, No. 2, 306-332 (1999). MSC: 76M22 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Trujillo, James; Karniadakis, George Em A penalty method for the vorticity-velocity formulation. (English) Zbl 0931.76072 J. Comput. Phys. 149, No. 1, 32-58 (1999). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Garba, A. A mixed spectral/wavelet method for the solution of the Stokes problem. (English) Zbl 0926.76083 J. Comput. Phys. 145, No. 1, 297-315 (1998). MSC: 76M22 76D07 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Cecchi, Maria Morandi; Salasnich, Luca Shallow water theory and its application to the Venice lagoon. (English) Zbl 0920.76044 Comput. Methods Appl. Mech. Eng. 151, No. 1-2, 63-74 (1998). MSC: 76M10 76D33 65M55 86A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertagnolio, F.; Daube, O. Solution of the div-curl problem in generalized curvilinear coordinates. (English) Zbl 0888.65115 J. Comput. Phys. 138, No. 1, 121-152 (1997). Reviewer: A.Meister (Hamburg) MSC: 65N30 65N50 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
E, Weinan; Liu, Jian-Guo Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids. (English) Zbl 0901.76046 J. Comput. Phys. 138, No. 1, 57-82 (1997). MSC: 76M20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Clercx, H. J. H. A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions. (English) Zbl 0904.76058 J. Comput. Phys. 137, No. 1, 186-211 (1997). Reviewer: W.Heinrichs (Essen) MSC: 76M25 76D05 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, J. A new uncoupled formulation of the 2-D velocity-vorticity system. (English) Zbl 0894.76018 Appl. Math. Lett. 10, No. 4, 77-82 (1997). MSC: 76D07 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, J.-L.; Quartapelle, L. Calculation of incompressible viscous flows by an unconditionally stable projection FEM. (English) Zbl 0879.76050 J. Comput. Phys. 132, No. 1, 12-33 (1997). MSC: 76M10 76D05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tachim Medjo, Theodore The Navier-Stokes equations in the vorticity-velocity formulation: The two-dimensional case. (English) Zbl 0858.76018 Appl. Numer. Math. 21, No. 2, 185-206 (1996). MSC: 76D05 76M30 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Guermond, Jean-Luc Some implementations of projection methods for Navier-Stokes equations. (English) Zbl 0861.76065 RAIRO, Modélisation Math. Anal. Numér. 30, No. 5, 637-667 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Su, J.; Tabarrok, B.; Dost, S. A time marching boundary element method for two-dimensional incompressible thermally coupled flows. (English) Zbl 0867.76054 Comput. Methods Appl. Mech. Eng. 128, No. 1-2, 11-23 (1995). MSC: 76M15 76D05 80A20 × Cite Format Result Cite Review PDF Full Text: DOI
Tachim Medjo, T. Vorticity-velocity formulation for the stationary Navier-Stokes equations: the three-dimensional case. (English) Zbl 0827.76016 Appl. Math. Lett. 8, No. 4, 63-66 (1995). MSC: 76D05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Quartapelle, L.; Verri, M. On the spectral solution of the three-dimensional Navier-Stokes equations in spherical and cylindrical regions. (English) Zbl 0923.76206 Comput. Phys. Commun. 90, No. 1, 1-43 (1995). MSC: 76M25 76D05 × Cite Format Result Cite Review PDF Full Text: DOI