Preconditioned methods for solving the incompressible and low speed compressible equations

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Abstract

Acceleration methods are presented for solving the steady state incompressible equations. These systems are preconditioned by introducing artificial time derivatives which allow for a faster convergence to the steady state. We also consider the compressible equations in conservation form with slow flow. Two arbitrary functions α and β are introduced in the general preconditioning. An analysis of this system is presented and an optimal value for β is determined given a constant α. It is further sown that the resultant incompressible equations form a symmetric hyperbolic system and so are well posed. Several generalizations to the compressible equations are presented which extend previous results.

Original languageEnglish
Pages (from-to)277-298
Number of pages22
JournalJournal of Computational Physics
Volume72
Issue number2
DOIs
StatePublished - Oct 1987

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