Entropy controlled adaptive finite element simulations for compressible gas flow
The principal idea consists in using the entropy balance equation in its discrete form as a rationale for controling an optimal amount of artificial dissipation in finite element compressible gas simulations. The entropy control can be reinterpreted as a nonlinear stability estimate in terms of the so-called modified entropy function. The idea has been practically verified using the Taylor-Galerkin method combined with an artificial viscosity term, in context of \(h\)-adaptive linear finite elements.
entropy balance equation in discrete form
scientific article; zbMATH DE number 896672