New Results On Several Projection Methods
We revisit fractional step projection methods for solving the Navier-Stokes equations. We study a variant of pressure-correction methods and introduce a new class of velocity-correction methods. We prove stability and O(δt2) convergence in the L2 norm of the velocity for both variants. We also prove O(δt3/2) convergence in the H1 norm of the velocity and the L2 norm of the pressure. We show that the new family of projection methods can be related to a set of methods introduced in [4,3]. As a result, this Note provides the first rigorous proof of stability and convergence of the methods introduced in [4,3]. © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.
Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
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Guermond, Jean Luc and Shen, Jie, "New Results On Several Projection Methods" (2001). Scopus Export 2000s. 4.