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On the use of compressed polyhedral quadrature formulas in embedded interface methods
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. Technical University of Munich, Germany.
2017 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197, Vol. 39, no 3, p. B571-B587Article in journal (Refereed) Published
Abstract [en]

The main idea of this paper is to apply a recent quadrature compression technique to algebraic quadrature formulas on complex polyhedra. The quadrature compression substantially reduces the number of integration points but preserves the accuracy of integration. The compression is easy to achieve since it is entirely based on the fundamental methods of numerical linear algebra. The resulting compressed formulas are applied in an embedded interface method to integrate the weak form of the Navier-Stokes equations. Simulations of flow past stationary and moving interface problems demonstrate that the compressed quadratures preserve accuracy and rate of convergence and improve the efficiency of performing the weak form integration, while preserving accuracy and order of convergence.

Place, publisher, year, edition, pages
Society for Industrial and Applied Mathematics, 2017. Vol. 39, no 3, p. B571-B587
Keywords [en]
quadrature compression, algebraic quadrature, complex polyhedra, embedded interface methods
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-211360DOI: 10.1137/16M1085206ISI: 000404763200006Scopus ID: 2-s2.0-85021788971OAI: oai:DiVA.org:kth-211360DiVA, id: diva2:1129146
Note

QC 20170801

Available from: 2017-08-01 Created: 2017-08-01 Last updated: 2017-08-01Bibliographically approved

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Sudhakar, Yogaraj
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