An optimized Schwarz algorithm for the compressible Euler equations

Victorita Dolean, Frédéric Nataf

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

Abstract

In this work, we design new interface transmission conditions for a domain decomposition Schwarz algorithm for the Euler equations in two dimensions. These new interface conditions are designed to improve the convergence properties of the Schwarz algorithm. These conditions depend on a few parameters and they generalize the classical ones. Numerical results illustrate the effectiveness of the new interface conditions.

LanguageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XVI
EditorsOlof B. Widlund, David E. Keyes
Place of PublicationBerlin
PublisherSpringer
Pages173-180
Number of pages8
ISBN (Print)9783540344681, 9783540344698
DOIs
Publication statusPublished - 11 Dec 2006

Publication series

NameLecture Notes in Computational Science and Engineering
Volume55
ISSN (Print)1439-7358

Fingerprint

Compressible Euler Equations
Interface Conditions
Euler equations
Transmission Conditions
Domain Decomposition
Decomposition
Euler Equations
Convergence Properties
Two Dimensions
Numerical Results
Generalise

Keywords

  • Mach number
  • convergence rate
  • Euler equation
  • interface condition
  • transmission condition

Cite this

Dolean, V., & Nataf, F. (2006). An optimized Schwarz algorithm for the compressible Euler equations. In O. B. Widlund, & D. E. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XVI (pp. 173-180). (Lecture Notes in Computational Science and Engineering; Vol. 55). Berlin: Springer. https://doi.org/10.1007/978-3-540-34469-8_17
Dolean, Victorita ; Nataf, Frédéric. / An optimized Schwarz algorithm for the compressible Euler equations. Domain Decomposition Methods in Science and Engineering XVI. editor / Olof B. Widlund ; David E. Keyes. Berlin : Springer, 2006. pp. 173-180 (Lecture Notes in Computational Science and Engineering).
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Dolean, V & Nataf, F 2006, An optimized Schwarz algorithm for the compressible Euler equations. in OB Widlund & DE Keyes (eds), Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol. 55, Springer, Berlin, pp. 173-180. https://doi.org/10.1007/978-3-540-34469-8_17

An optimized Schwarz algorithm for the compressible Euler equations. / Dolean, Victorita; Nataf, Frédéric.

Domain Decomposition Methods in Science and Engineering XVI. ed. / Olof B. Widlund; David E. Keyes. Berlin : Springer, 2006. p. 173-180 (Lecture Notes in Computational Science and Engineering; Vol. 55).

Research output: Chapter in Book/Report/Conference proceedingChapter

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T1 - An optimized Schwarz algorithm for the compressible Euler equations

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AU - Nataf, Frédéric

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KW - Mach number

KW - convergence rate

KW - Euler equation

KW - interface condition

KW - transmission condition

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Dolean V, Nataf F. An optimized Schwarz algorithm for the compressible Euler equations. In Widlund OB, Keyes DE, editors, Domain Decomposition Methods in Science and Engineering XVI. Berlin: Springer. 2006. p. 173-180. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-540-34469-8_17