Approximate projection methods: Part I. Inviscid analysis

Citation
As. Almgren et al., Approximate projection methods: Part I. Inviscid analysis, SIAM J SC C, 22(4), 2000, pp. 1139-1159
Citations number
20
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN journal
10648275 → ACNP
Volume
22
Issue
4
Year of publication
2000
Pages
1139 - 1159
Database
ISI
SICI code
1064-8275(20001108)22:4<1139:APMPII>2.0.ZU;2-L
Abstract
The use of approximate projection methods for modeling low Mach number flow s avoids many of the numerical complications associated with exact projecti on methods, but introduces additional design choices in developing a robust algorithm. In this paper we first explore these design choices in the sett ing of inviscid incompressible ow using several computational examples. We then develop a framework for analyzing the behavior of the different design variations and use that analysis to explain the features observed in the c omputations. As part of this work we introduce a new variation of the appro ximate projection algorithm that combines the advantages of several of the previous versions.