Higher-Order Multilevel Framework for ADER Scheme in Computational Aeroacoustics
arXiv:1611.03229 · doi:10.1016/j.jcp.2017.02.062
Abstract
The versatile Arbitrary-DERivative (ADER) scheme is cast in a multilevel framework (ML-ADER) for fast solution of system of linear hyperbolic partial differential equations. The solution is cycled through spatial operators of varying accuracy while retaining highest-order accuracy by the use of a forcing function. Accuracy analysis of the multilevel framework including in the ML-ADER form is carried out in time-domain as well as frequency-domain. Results are obtained for benchmark problems in computational aeroacoustics at a much reduced computational cost.
Submitted to Journal of Computational Physics on 9th November 2016