Journal
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
Volume 27, Issue 13, Pages 2381-2423Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218202517500476
Keywords
Model adaptation; domain decomposition; discontinuous Galerkin method; Euler equations; Navier-Stokes-Fourier
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Funding
- German Research Foundation (DFG) [SFB TRR 75]
- EPSRC [EP/P000835/1]
- Engineering and Physical Sciences Research Council [EP/P000835/1] Funding Source: researchfish
- EPSRC [EP/P000835/1] Funding Source: UKRI
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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 perhaps where a 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.
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