domains are considered [11]. Also the application of adaptive techniques is complicated and only recently such pro-
The principal idea of the present work consists in using the entropy balance equation in its discrete form as a rationale for con-cedures have been successfully used in FD computations troling an optimal amount of artifficial dissipation in Finite Element [12].
(FE) compressible gas simulations. The entropy control can be reinterpreted as a nonlinear stability estimate in terms of the so-called
Finite Element Schemes for Compressible Gas Flow
modified entropy function. The idea has been practically verified using the Taylor-Galerkin method combined with an artificial viscos-
The main advantage of the FE procedures is the ease ity term proposed by Hughes and Johnson, in context of h-adaptive of treating the problems defined in domains with complex linear finite elements. The obtained numerical results confirm geometry by means of unstructured grids [13], keeping as that the entropy control may indeed provide a basis for the careful balance between stability and higher-order resolution in FE the only requirement the continuity of approximate soluapproximations.