A comparison of ENO and TVD schemes for the computation of shock-turbulence interaction

A quantitative analysis of solutions to the Euler equations of fluid dynamis with the MUSCL, ENO-Harten, and efficient ENO-Shu algorithms is performed. Investigations of different test problems in one and two dimensions are presented. These are chosen as to model the shock-turbulence interaction in fluid dynamical systems. The notion of subcell resolution developed by Harten for the ENO schemes clearly improves the solution in one dimension; however, the effect is less prominent in a Strang-type extension to two dimensions. Our results confirm the superiority of the ENO schemes over the MUSCL approach in solving problems of flow fields with discontinuities which, at the same time, contain fine structure in its smooth parts.