A posteriori analysis for dynamic model adaptation in convection dominated problems

Jan Giesselmann, Tristan Pryer

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)
17 Downloads (Pure)

Abstract

In this work we present an a posteriori error indicator for approximation schemes of Runge-Kutta-discontinuous-Galerkin type arising in applications of compressible fluid flows. The purpose of this indicator is not only for mesh adaptivity, we also make use of this to drive model adaptivity. This is where a perhaps costly complex model and a cheaper simple model are solved over different parts of the domain. The a posteriori bound we derive indicates the regions where the complex model can be relatively well approximated with the cheaper one. One such example which we choose to highlight is that of the Navier-Stokes-Fourier equations approximated by Euler's equations.
Original languageEnglish
Pages (from-to)2381-2423
Number of pages43
JournalMathematical Models & Methods in Applied Sciences
Volume27
Issue number13
DOIs
Publication statusPublished - 6 Oct 2017

Keywords

  • math.NA
  • 65M60, 76T10

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