Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics
type: Item
instance of: scholarly article
title: Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics
zbMATH Open document ID: 1394.76080
DOI: 10.1155/2015/142730
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: A set of explicit finite difference schemes with large stencil was optimized to obtain maximum resolution characteristics for various spatial truncation orders. The effect of integral interval range of the objective function on the optimized schemes' performance is discussed. An algorithm is developed for the automatic determination of this integral interval. Three types of objective functions in the optimization procedure are compared in detail, which show that Tam's objective function gets the best resolution in explicit centered finite difference scheme. Actual performances of the proposed optimized schemes are demonstrated by numerical simulation of three CAA benchmark problems. The effective accuracy, strengths, and weakness of these proposed schemes are then discussed. At the end, general conclusion on how to choose optimization objective function and optimization ranges is drawn. The results provide clear understanding of the relative effective accuracy of the various truncation orders, especially the trade-off when using large stencil with a relatively high truncation order.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76Q05
zbMATH DE Number: 6925563
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/142730
OpenAlex ID: W1584365011
Wikidata QID: Q59117359
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description: scientific article; zbMATH DE number 6925563