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.