A class of explicit ENO filters with application to unsteady flows

ENO filters are developed and compared with classical ENO schemes, TVD filt ers, and classical TVD schemes. The amplitude of the numerical dissipation provided by the filtering pass is computed by means of the artificial compr ession method (ACM) switch and it is demonstrated that the use of this sens or improves markedly the quality of results compared to classical approache s (shock-capturing schemes) in laminar unsteady flows. On a fully turbulent flow, it is demonstrated that the ACM sensor is not able to distinguish a turbulent fluctuation from a shock, whereas the sensor proposed by Ducros e f al. [9] makes easily this distinction. (C) 2001 Academic Press.