Stability and convergence analysis of rotational velocity correction methods for the Navier–Stokes equations
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[1] Jie Shen,et al. An unconditionally stable rotational velocity-correction scheme for incompressible flows , 2010, J. Comput. Phys..
[2] Jie Shen. On error estimates of projection methods for Navier-Stokes equations: first-order schemes , 1992 .
[3] Frans N. van de Vosse,et al. An approximate projec-tion scheme for incompressible ow using spectral elements , 1996 .
[4] Abner J. Salgado,et al. Stability analysis of pressure correction schemes for the Navier–Stokes equations with traction boundary conditions , 2016 .
[5] Jie Shen,et al. Gauge-Uzawa methods for incompressible flows with variable density , 2007, J. Comput. Phys..
[6] Suchuan Dong,et al. A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains , 2014, J. Comput. Phys..
[7] Jie Shen,et al. Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions , 2005, SIAM J. Numer. Anal..
[8] R. Rannacher,et al. Finite-element approximations of the nonstationary Navier-Stokes problem. Part IV: error estimates for second-order time discretization , 1990 .
[9] Daniele A. Di Pietro,et al. A pressure-correction scheme for convection-dominated incompressible flows with discontinuous velocity and continuous pressure , 2011, J. Comput. Phys..
[10] Jian‐Guo Liu,et al. Projection method I: convergence and numerical boundary layers , 1995 .
[11] S. Orszag,et al. Boundary conditions for incompressible flows , 1986 .
[12] Jie Shen,et al. On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes , 1996, Math. Comput..
[13] K. Goda,et al. A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows , 1979 .
[14] Jie Shen,et al. A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios , 2012, J. Comput. Phys..
[15] Suchuan Dong,et al. An eigen-based high-order expansion basis for structured spectral elements , 2011, J. Comput. Phys..
[16] Jie Shen,et al. Velocity-Correction Projection Methods for Incompressible Flows , 2003, SIAM J. Numer. Anal..
[17] ON ERROR ESTIMATES OF THE PRESSURE-CORRECTION PROJECTION METHODS FOR THE TIME-DEPENDENT NAVIER-STOKES EQUATIONS , 2010 .
[18] A. Chorin. Numerical Solution of the Navier-Stokes Equations* , 1989 .
[19] J. Kan. A second-order accurate pressure correction scheme for viscous incompressible flow , 1986 .
[20] Jie Shen,et al. An overview of projection methods for incompressible flows , 2006 .
[21] Jie Shen,et al. A pressure-correction scheme for rotational Navier-Stokes equations and its applicatio , 2011 .
[22] Suchuan Dong,et al. On imposing dynamic contact-angle boundary conditions for wall-bounded liquid–gas flows , 2012 .
[23] Ricardo H. Nochetto,et al. Error estimates for semi-discrete gauge methods for the Navier-Stokes equations , 2004, Math. Comput..
[24] Dao Trong Quyet. Spectral Galerkin Method in Space and Time for the 2D $g$-Navier-Stokes Equations , 2013 .
[25] R. Temam. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires (II) , 1969 .
[26] Jie Shen,et al. On the error estimates for the rotational pressure-correction projection methods , 2003, Math. Comput..
[27] S. Orszag,et al. High-order splitting methods for the incompressible Navier-Stokes equations , 1991 .
[28] Jie Shen,et al. Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials , 1994, SIAM J. Sci. Comput..