Title

New Results On Several Projection Methods

Abstract

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.

Publication Date

12-15-2001

Publication Title

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volume

333

Issue

12

Number of Pages

1111-1116

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0764-4442(01)02157-7

Socpus ID

0242549253 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0242549253

This document is currently not available here.

Share

COinS