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CABARET scheme with conservation-flux asynchronous time-stepping for nonlinear aeroacoustics problems. (English) Zbl 1349.76530
Summary: Explicit time stepping renders many high-resolution computational schemes to become less efficient when dealing with non-uniform grids typical of many aeroacoustic applications. Asynchronous time stepping, i. e., updating the solution in different cell sizes according to their local rates, is known to be a promising way to improve the efficiency of explicit time-stepping methods without compromise in accuracy. In the present paper, a new asynchronous time-stepping algorithm is developed for the Compact Accurately Boundary-Adjusting high-REsolution Technique (CABARET) Euler method. This allows to significantly speedup the original single-step CABARET method with non-uniform grids and improves its accuracy at the same time. Numerical examples are provided and issues associated with the method performance on various grid resolutions are discussed.

76M20 Finite difference methods applied to problems in fluid mechanics
76F65 Direct numerical and large eddy simulation of turbulence
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76Q05 Hydro- and aero-acoustics
Full Text: DOI
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