A simulation tool for the analysis of high speed flows

The availability of an efficient, low-cost numerical simulator is essential in the design of fluid dynamic systems, both to achieve a deep understanding of the flow field and to allow a quick and economical optimization of the technical characteristics of industrial devices. With the aim of developing an adequate simulation tool for the analysis of the fluid dynamical field in general 2d domains, a positive scheme, recently proposed as a simple and yet powerful method for the approximation of conservation laws, is extended in this paper to general curvilinear coordinates. The resulting algorithm is successfully applied to several test cases of increasing complexity.