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Titolo:
An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization
Autore:
Briley, WR; McDonald, H;
Indirizzi:
Mississippi State Univ, Dept Mech Engn, Computat Fluid Dynam Lab, NSF,ERC Computat Field Simulat, Mississippi State, MS 39762 USA Mississippi State Univ Mississippi State MS USA 39762 State, MS 39762 USA NASA, Ames Res Ctr, Moffett Field, CA 94035 USA NASA Moffett Field CA USA94035 Ames Res Ctr, Moffett Field, CA 94035 USA
Titolo Testata:
COMPUTERS & FLUIDS
fascicolo: 7-8, volume: 30, anno: 2001,
pagine: 807 - 828
SICI:
0045-7930(200109/11)30:7-8<807:AOAGOI>2.0.ZU;2-#
Fonte:
ISI
Lingua:
ENG
Soggetto:
EULER EQUATIONS; HYPERBOLIC SYSTEMS; SCHEMES; FLOW; FORM; STEADY; GRIDS;
Keywords:
implicit algorithms; linearization; alternating direction implicit; approximate factorization; upwind; relaxation; Newton's method; Navier-Stokes;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
87
Recensione:
Indirizzi per estratti:
Indirizzo: Briley, WR Mississippi State Univ, Dept Mech Engn, Computat Fluid Dynam Lab, NSF,ERC Computat Field Simulat, POB 6176, Mississippi State, MS 39762 USA Mississippi State Univ POB 6176 Mississippi State MS USA 39762
Citazione:
W.R. Briley e H. McDonald, "An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization", COMPUT FLU, 30(7-8), 2001, pp. 807-828

Abstract

A theme of linearization and approximate factorization provides the context for a retrospective overview of the development and evolution of implicitnumerical methods for the compressible and incompressible Euler and Navier-Stokes algorithms. This topic was chosen for this special volume commemorating the recent retirements of R.M. Beam and R.F. Warming. A generalized treatment of approximate factorization schemes is given, based on an operatornotation for the spatial approximation. The generalization focuses on the implicit structure of Euler and Navier-Stokes algorithms as nonlinear systems of partial differential equations, with details of the spatial approximation left to operator definitions. This provides a unified context for discussing noniterative and iterative time-linearized schemes, and Newton iteration for unsteady nonlinear schemes. The factorizations include alternatingdirection implicit, LU and line relaxation schemes with either upwind or centered spatial approximations for both compressible and incompressible flows. The noniterative schemes are best suited for steady flows, while the iterative schemes are well suited for either steady or unsteady flows. This generalization serves to unify a large number of schemes developed over the past 30 years. (C) 2001 Elsevier Science Ltd. All rights reserved.

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Documento generato il 03/07/20 alle ore 01:46:17