On the use of compressed polyhedral quadrature formulas in embedded interface methods

Y. Sudhakar, Alvise Sommariva, Marco Vianello, Wolfgang A. Wall

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

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 ow 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.

Original languageEnglish
Pages (from-to)B571-B587
JournalSIAM Journal on Scientific Computing
Volume39
Issue number3
DOIs
StatePublished - 2017

Keywords

  • Algebraic quadrature
  • Complex polyhedra
  • Embedded interface methods
  • Quadrature compression

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