Evaluation of a Genuinely Multi-Dimensional High-Order Explicit Filters for Aeroacoustic Computations

The present paper addresses the evaluation for acoustic and aeroacoustic computations of a new multi-dimensional extension, recently developed at ONERA, for high-order explicit and implicit filters. The multi-dimensional extension, initially developed for Shapiro’s optimal filters, applies to many existing implicit and explicit filters that can be expressed as linear combination of Shapiro filters. The new method takes full advantage of the multidimensional nature of the field to reduce the stencil used for the filtering while maintaining the accuracy order and dissipating properties of the initial one-dimensional filters. Here, this new method is compared to classical ones through a set of acoustic and aeroacoustic test cases.