Resumen de A review and comparative study of upwind biased schemes for compressible flow computation. Part I: 1 "D first" order schemes

P.R.M. Pyra, K. Morgan

• First-order upwind biased formulations for simulating 1-D compressible flows are presented within a unified framework. A detailed study and comparison of the different formulations is important, as high-resolution extensions are known to inherit both the good and bad features of the first-order formulations used for their construction. The most popular flux difference splitting, flux vector splitting and some recently proposed hybrid splitting methodologies are considered. A finite element solution approach is adopted, as this provides a framework for the multidimensional extension of the solvers. Representative one-dimensional test cases are considered in order to provide evidence of the effectiveness and performance of the formulations. The results that are presented, together with the corresponding exact solutions, provide a set of benchmark test cases for comparison purposes