Title
Approximate Projection Methods: Part I. Inviscid Analysis
Abstract
The use of approximate projection methods for modeling low Mach number flows avoids many of the numerical complications associated with exact projection methods, but introduces additional design choices in developing a robust algorithm. In this paper we first explore these design choices in the setting of inviscid incompressible flow 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 computations. As part of this work we introduce a new variation of the approximate projection algorithm that combines the advantages of several of the previous versions.
Year
DOI
Venue
2000
10.1137/S1064827599357024
SIAM J. Scientific Computing
Keywords
Field
DocType
projection method,approximate projection,incompressible flow
Applied mathematics,Inviscid flow,Mathematical optimization,Dykstra's projection algorithm,Projection method,Initial value problem,Incompressible flow,Partial differential equation,Mach number,Calculus,Mathematics,Computation
Journal
Volume
Issue
ISSN
22
4
1064-8275
Citations 
PageRank 
References 
16
3.04
1
Authors
3
Name
Order
Citations
PageRank
Ann S. Almgren18222.33
John B. Bell215429.57
William Y. Crutchfield38111.98