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Construction of interface conditions for solving the compressible Euler equations by non‐overlapping domain decomposition methods
Author(s) -
Dolean Victorita,
Nataf Frédéric,
Lanteri Stéphane
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.406
Subject(s) - domain decomposition methods , convergence (economics) , mach number , mathematics , euler's formula , rate of convergence , euler equations , acceleration , interface (matter) , polynomial , compressibility , compressible flow , zero (linguistics) , mathematical analysis , computer science , finite element method , mechanics , physics , classical mechanics , parallel computing , computer network , channel (broadcasting) , linguistics , philosophy , bubble , maximum bubble pressure method , economics , thermodynamics , economic growth
Abstract In this work we examine the acceleration of the convergence of a non‐overlapping additive Schwarz‐type algorithm by modifying the transmission conditions applied to the subdomain interfaces. We have built generalized zero‐order interface conditions using the Smith theory of diagonalizing polynomial matrices. The numerical experiments confirmed qualitatively the behaviour in accordance with the theory, but we could not reproduce identically the results obtained in the continuous case. The preliminary results are very encouraging since they lead to a very good convergence rate for certain Mach numbers. Copyright © 2002 John Wiley & Sons, Ltd.