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In this work we present an a posteriori error indicator for approximationschemes of Runge-Kutta-discontinuous-Galerkin type arising in applications ofcompressible fluid flows. The purpose of this indicator is not only for meshadaptivity, we also make use of this to drive model adaptivity. This is where aperhaps costly complex model and a cheaper simple model are solved overdifferent parts of the domain. The a posteriori bound we derive indicates theregions where the complex model can be relatively well approximated with thecheaper one. One such example which we choose to highlight is that of theNavier-Stokes-Fourier equations approximated by Euler's equations.

A posteriori analysis for dynamic model adaptation in convection dominated problems