A Class of Explicit ENO Filters with Application to Unsteady Flows

ENO filters are developed and compared with classical ENO schemes, TVD filters, and classical TVD schemes. The amplitude of the numerical dissipation provided by the filtering pass is computed by means of the artificial compression method (ACM) switch and it is demonstrated that the use of this sensor improves markedly the quality of results compared to classical approaches (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 et al. [9] makes easily this distinction.