Publication Results

Code: MOX 61
Title: Algebraic fractional step schemes with spectral methods for the incompressible Navier-Stokes equations
Date: Monday 23rd May 2005
Author(s) : Gervasio, Paola; Saleri, Fausto; Veneziani, Alessandro
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Abstract: The numerical investigation of a recent family of algebraic fractional-step methods for the solution of the incompressible time-dependent Navier-Stokes equations is presented. These methods are improved verdion of the Yosida method proposed in [29] and [28] and one of them (the Yosida4 method) is proposed in this paper for the first time. They rely on approximate LU block factorization of the matrix obtained after the discretization in time and space of the Navier-Stokes system, yielding a splitting in the velocity and pressure computation. In this paper we analyze the numerical performances of these schemes when the space discretization is carried out with a spectral element method, with the aim of investigating the impact of the splitting on the global accuracy of the computation.

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Dogan, G.; Morin, P.; Nochetto, R.H., Verani, Marco, Discrete gradient flows for shape optimization and applications, Computer Methods in Applied Mechanics and Engineering, Volume 196, Issues 37-40, 1 August 2007, Pages 3898-3914