论文信息 - Algebraic Fractional-Step Schemes for Time-Dependent Incompressible Navier–Stokes Equations

Algebraic Fractional-Step Schemes for Time-Dependent Incompressible Navier–Stokes Equations

The numerical investigation of a recent family of algebraic fractional-step methods (the so called Yosida methods) for the solution of the incompressible time-dependent Navier–Stokes equations is presented. A comparison with the Karniadakis–Israeli–Orszag method Karniadakis et al. (1991, J. Comput. Phys. 97, 414–443) is carried out. The high accuracy in time of these schemes well combines with the high accuracy in space of spectral methods.

Paola Gervasio | Fausto Saleri

[1] G. Karniadakis,et al. Spectral/hp Element Methods for CFD , 1999 .

[2] Paola Gervasio,et al. Algebraic fractional-step schemes with spectral methods for the incompressible Navier-Stokes equations , 2006, J. Comput. Phys..

[3] C. Bernardi,et al. Approximations spectrales de problèmes aux limites elliptiques , 2003 .

[4] Alfio Quarteroni,et al. Analysis of the Yosida Method for the Incompressible Navier-Stokes Equations , 1999 .

[5] J. B. Perot,et al. An analysis of the fractional step method , 1993 .

[6] W. Couzy,et al. Spectral element discretization of the unsteady Navier-Stokes equations and its iterative solution on parallel computers , 1995 .

[7] S. Orszag,et al. High-order splitting methods for the incompressible Navier-Stokes equations , 1991 .

[8] A. Quarteroni,et al. Factorization methods for the numerical approximation of Navier-Stokes equations , 2000 .

[9] Paul Houston,et al. Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems , 2001, SIAM J. Numer. Anal..

[10] Alessandro Veneziani,et al. Pressure Correction Algebraic Splitting Methods for the Incompressible Navier-Stokes Equations , 2005, SIAM J. Numer. Anal..

[11] P. Moin,et al. Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .