New results on several projection methods
Abbreviated Journal Title
Comptes Rendus Acad. Sci. Ser. I-Math.
NAVIER-STOKES EQUATIONS; SCHEMES; Mathematics
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(deltat(2)) convergence in the L-2 norm of the velocity for both variants. We also prove O(deltat(3/2)) convergence in the H-1 norm of the velocity and the L-2 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]. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
Comptes Rendus De L Academie Des Sciences Serie I-Mathematique
"New results on several projection methods" (2001). Faculty Bibliography 2000s. 8013.