Essentially non-oscillatory shock capturing methods applied to turbulence amplification in shock wave calculations

ENO (essentially non-oscillatory) schemes can provide uniformly high order accuracy right up to discontinuities while keeping sharp, essentially non-oscillatory shock transitions. Recently we obtained an efficient implementation of ENO schemes based on fluxes and TVD Runge-Kutta time discretizations. The resulting code is very simple to program for multi-dimensions. ENO schemes are especially suitable for computing problems with Both discontinuities And fine structures in smooth regions, such as shock interaction with turbulence, for which results for one dimensional and two dimensional Euler equations are presented. We observe much better resolution by using third order ENO schemes than by using second order TVD schemes for such problems