A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes

Tomas Lundquist, Arnaud Malan, Jan Nordström

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

We develop a general interface procedure to couple both structured and unstructured parts of a hybrid mesh in a non-collocated, multi-block fashion. The target is to gain optimal computational efficiency in fluid dynamics simulations involving complex geometries. While guaranteeing stability, the proposed procedure is optimized for accuracy and requires minimal algorithmic modifications to already existing schemes. Initial numerical investigations confirm considerable efficiency gains compared to non-hybrid calculations of up to an order of magnitude.

Original languageEnglish
Pages (from-to)49-68
Number of pages20
JournalJournal of Computational Physics
Volume362
DOIs
Publication statusPublished - 1 Jun 2018
Externally publishedYes

Keywords

  • Finite difference
  • Finite volume
  • Hybrid meshes
  • Numerical interfaces
  • Stability
  • Summation-by-parts

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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