Vorticity dynamics and numerical Resolution of Navier-Stokes Equations
ESAIM: M2AN, 35 2 (2001) 313-330
Published online: 2002-04-15
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):
A streamfunction-velocity formulation-based higher-order upwind compact difference method for solving unsteady natural convection
Shuang Wu, Yaping Yan, Zhengxing Chen and Zhenfu TianPhysics of Fluids 37 (6) (2025)
https://doi.org/10.1063/5.0272570
Novel hybrid compact schemes for stream function–velocity formulation of the incompressible Navier–Stokes equations
Vivek S. Yadav, Vikas Maurya, Praveen K. Maurya and Manoj K. RajpootPhysics of Fluids 35 (1) (2023)
https://doi.org/10.1063/5.0135331
A physics-preserving pure streamfunction formulation and high-order compact solver with high-resolution for three-dimensional steady incompressible flows
Xiaohu GuoPhysics of Fluids 35 (4) (2023)
https://doi.org/10.1063/5.0140054
A less time-consuming upwind compact difference method with adjusted dissipation property for solving the unsteady incompressible Navier-Stokes equations
J.B. Lu, Z.X. Chen and Z.F. TianComputers & Mathematics with Applications 126 149 (2022)
https://doi.org/10.1016/j.camwa.2022.09.011
A Hellan--Herrmann--Johnson-like Method for the Stream Function Formulation of the Stokes Equations in Two and Three Space Dimensions
Philip L. LedererSIAM Journal on Numerical Analysis 59 (1) 503 (2021)
https://doi.org/10.1137/20M1338034
Vorticity and Stream Function Formulations for the 2D Navier–Stokes Equations in a Bounded Domain
Julien Lequeurre and Alexandre MunnierJournal of Mathematical Fluid Mechanics 22 (2) (2020)
https://doi.org/10.1007/s00021-019-0479-5
A New Mixed Potential Representation for Unsteady, Incompressible Flow
Leslie Greengard and Shidong JiangSIAM Review 61 (3) 733 (2019)
https://doi.org/10.1137/18M1216158
An upwind compact difference scheme for solving the streamfunction–velocity formulation of the unsteady incompressible Navier–Stokes equation
P.X. Yu and Zhen F. TianComputers & Mathematics with Applications 75 (9) 3224 (2018)
https://doi.org/10.1016/j.camwa.2018.01.043
A new fourth-order compact scheme for the Navier–Stokes equations in irregular domains
D. FishelovComputers & Mathematics with Applications 74 (1) 6 (2017)
https://doi.org/10.1016/j.camwa.2016.10.020
A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes
P. X. Yu and Zhen F. TianJournal of Scientific Computing 56 (1) 165 (2013)
https://doi.org/10.1007/s10915-012-9667-7
A compact streamfunction–velocity scheme on nonuniform grids for the 2D steady incompressible Navier–Stokes equations
P.X. Yu and Zhen F. TianComputers & Mathematics with Applications 66 (7) 1192 (2013)
https://doi.org/10.1016/j.camwa.2013.07.013
An efficient compact difference scheme for solving the streamfunction formulation of the incompressible Navier–Stokes equations
Zhen F. Tian and P.X. YuJournal of Computational Physics 230 (17) 6404 (2011)
https://doi.org/10.1016/j.jcp.2010.12.031
A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations
M. Ben-Artzi, J.-P. Croisille and D. FishelovJournal of Scientific Computing 42 (2) 216 (2010)
https://doi.org/10.1007/s10915-009-9322-0
Estimates for the two-dimensional Navier–Stokes equations in terms of the Reynolds number
J. D. Gibbon and G. A. PavliotisJournal of Mathematical Physics 48 (6) (2007)
https://doi.org/10.1063/1.2356912
Complementary modes of impulse generation for flow past a three-dimensional obstacle
D. M. SummersTheoretical and Computational Fluid Dynamics 21 (1) 15 (2006)
https://doi.org/10.1007/s00162-006-0023-0
Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier–Stokes System
Matania Ben‐Artzi, Jean‐Pierre Croisille and Dalia FishelovSIAM Journal on Numerical Analysis 44 (5) 1997 (2006)
https://doi.org/10.1137/05062915X
A consistent splitting scheme for unsteady incompressible viscous flows I. Dirichlet boundary condition and applications
J. C.‐F. Wong and M. K.‐H. ChanInternational Journal for Numerical Methods in Fluids 51 (4) 385 (2006)
https://doi.org/10.1002/fld.1108
A pure-compact scheme for the streamfunction formulation of Navier–Stokes equations
Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fishelov and Shlomo TrachtenbergJournal of Computational Physics 205 (2) 640 (2005)
https://doi.org/10.1016/j.jcp.2004.11.024
Computational Science and Its Applications — ICCSA 2003
D. Fishelov, M. Ben-Artzi and J.-P. CroisilleLecture Notes in Computer Science, Computational Science and Its Applications — ICCSA 2003 2667 809 (2003)
https://doi.org/10.1007/3-540-44839-X_85
Handbook of Mathematical Fluid Dynamics
Matania Ben-ArtziHandbook of Mathematical Fluid Dynamics 2 143 (2003)
https://doi.org/10.1016/S1874-5792(03)80007-1
Numerical Methods for Fluids (Part 3)
Roland GlowinskiHandbook of Numerical Analysis, Numerical Methods for Fluids (Part 3) 9 3 (2003)
https://doi.org/10.1016/S1570-8659(03)09003-3
Bacterial Flagellar Microhydrodynamics: Laminar Flow over Complex Flagellar Filaments, Analog Archimedean Screws and Cylinders, and Its Perturbations
Shlomo Trachtenberg, Dalia Fishelov and Matania Ben-ArtziBiophysical Journal 85 (3) 1345 (2003)
https://doi.org/10.1016/S0006-3495(03)74569-X
A Central-Difference Scheme for a Pure Stream Function Formulation of Incompressible Viscous Flow
Raz KupfermanSIAM Journal on Scientific Computing 23 (1) 1 (2001)
https://doi.org/10.1137/S1064827500373395