Using High-Order Accurate Essentially Non-Oscillatory Schemes for Aeroacoustic Applications

摘要

The numerical study of aeroacoustic problems places stringent demands on the choice of a computational algorithm, particularly when shock waves are involved. Because of their dual capacity for high-order accuracy and high-resolution shock capturing, the recnetly developed class of essentially non-oscillatory (ENO) schemes has generated considerable interest in regard to such problems. Because ENO schemes use adaptive stenciling, their application requires careful consideration. the use of such schemes for aeroacoustic applications is investigated, with particular attention to the control of the adaptive stenciling procedure. A modification of previously developed stencil-biasing procedures is proposed. This nonlinear stencilbiasing approach allows a freer adaptation near discontinuities than is allowed by the previous biasing methods, without disturibing the biased, stable stencils that are desired in smooth regions. These new mehtods are tested on a sound-shock interaction i na converging-diverging nozzle and an axi-symmetric shock-vortex interaction. Numerical reuslts indicate a reduction in error for both problems when compared with results in which other stencil-biasing procedures are used.