Dispersion-relation-preserving finite difference schemes for computational acoustics
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
Prefactored small-stencil compact schemes
Journal of Computational Physics
A family of low dispersive and low dissipative explicit schemes for flow and noise computations
Journal of Computational Physics
High-order compact finite-difference methods on general overset grids
Journal of Computational Physics
Journal of Computational Physics
Finite difference schemes for long-time integration
Journal of Computational Physics
Journal of Computational Physics
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The present article aims at highlighting the strengths and weaknesses of the so-called spectral-like optimized (explicit central) finite-difference schemes, when the latter are used for numerically approximating spatial derivatives in aeroacoustics evolution problems. With that view, we first remind how differential operators can be approximated using explicit central finite-difference schemes. The possible spectral-like optimization of the latter is then discussed, the advantages and drawbacks of such an optimization being theoretically studied, before they are numerically quantified. For doing so, two popular spectral-like optimized schemes are assessed via a direct comparison against their standard counterparts, such a comparative exercise being conducted for several academic test cases. At the end, general conclusions are drawn, which allows us discussing the way spectral-like optimized schemes shall be preferred (or not) to standard ones, when it comes to simulate real-life aeroacoustics problems.