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A posteriori analysis for dynamic model adaptation in convection dominated problems

Giesselmann, J. and Pryer, T. (2017) A posteriori analysis for dynamic model adaptation in convection dominated problems. Mathematical models and methods in applied Sciences (M3AS), 27 (13). pp. 2381-2423. ISSN 0218-2025

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To link to this item DOI: 10.1142/S0218202517500476

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:71360
Publisher:World Scientific

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