Explicit High Accuracy Maximum Resolution Dispersion Relation Preserving Schemes for Computational Aeroacoustics
Joint Authors
Li, Kun
Wang, J. L.
Huang, Q. B.
Liu, Z. X.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, J. L.& Huang, Q. B.& Liu, Z. X.& Li, Kun. 2015. Explicit High Accuracy Maximum Resolution Dispersion Relation Preserving Schemes for Computational Aeroacoustics. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1072987
Modern Language Association (MLA)
Wang, J. L.…[et al.]. Explicit High Accuracy Maximum Resolution Dispersion Relation Preserving Schemes for Computational Aeroacoustics. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1072987
American Medical Association (AMA)
Wang, J. L.& Huang, Q. B.& Liu, Z. X.& Li, Kun. Explicit High Accuracy Maximum Resolution Dispersion Relation Preserving Schemes for Computational Aeroacoustics. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1072987
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072987