An analysis of the fractional step method
type: Item
instance of: scholarly article
title: An analysis of the fractional step method
zbMATH Open document ID: 0778.76064
author: J. Blair Perot
published in: Journal of Computational Physics
publication date: 1993-10-18T00:00:00Z
review text: The fractional step method for solving the incompressible Navier-Stokes equations in primitive variables is analyzed as a block LU decomposition. In this formulation the issues involving boundary conditions for the intermediate velocity variables and the pressure are clearly resolved. In addition, it is shown that poor temporal accuracy (first-order) is not due to boundary conditions, but due to the method itself. A generalized block LU decomposition that overcomes this difficulty is presented, allowing arbitrarily high temporal order of accuracy.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 425471
zbMATH Keywords: stability
zbMATH Keywords: square domain
zbMATH Keywords: primitive variables
zbMATH Keywords: block LU decomposition
zbMATH Keywords: boundary conditions
zbMATH Keywords: high temporal order of accuracy
MaRDI profile type: Publication
full work available at URL: jcph.1993.1162
OpenAlex ID: W2019113499
DOI: 10.1006/JCPH.1993.1162
description: scientific article; zbMATH DE number 425471