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Second-order accuracy in time of finite difference methods for computational aeroacoustics

The recently developed second-order accuracy in time finite difference method suitable for computational aeroacoustics (CAA) is introduced. Although, it is straight forward to compute the coefficients for finite-difference method of any order of accuracy using the Taylor series and to then further o...

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Main Authors: Annie Gorgey,, Noorhelyna Razali,, Nuryazmin Ahmat Zainuri,, Izamarlina Ashaari,, Haliza Othman,, Hasan Kadhim Jawa,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2023
Online Access:http://journalarticle.ukm.my/23688/1/kejut_20.pdf
http://journalarticle.ukm.my/23688/
https://www.ukm.my/jkukm/si-6-2-2023/
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spelling my-ukm.journal.236882024-06-21T09:13:49Z http://journalarticle.ukm.my/23688/ Second-order accuracy in time of finite difference methods for computational aeroacoustics Annie Gorgey, Noorhelyna Razali, Nuryazmin Ahmat Zainuri, Izamarlina Ashaari, Haliza Othman, Hasan Kadhim Jawa, The recently developed second-order accuracy in time finite difference method suitable for computational aeroacoustics (CAA) is introduced. Although, it is straight forward to compute the coefficients for finite-difference method of any order of accuracy using the Taylor series and to then further optimize them to enhance their wavenumber preserving properties, there are difficult questions concerning their numerical stability The goal of this work is to develop an effective numerical technique that includes both linear and nonlinear wave propagation in order to solve acoustics problems in time and space. It also aims to evaluate the accuracy, effectiveness, and stability of the new technique. In 1-D linear and nonlinear computational aeroacoustics, the novel techniques were used. The findings of the conventional methods (square wave (FTCS) technique and step wave lax approach) are presented in this paper, and it is shown that the FTCS method is typically unstable for hyperbolic situations and cannot be employed. Unfortunately, the FTCS equation has very little practical application. It is an unstable method, which can be used only (if at all) to study waves for a short fraction of one oscillation period. Nonlinear instability and shock formation are thus somewhat controlled by numerical viscosity such as that discussed in connection with Lax method equation. The second-order accuracy in time finite difference method is more efficient than the (square wave (FTCS), step wave lax) methods and is faster than the step wave lax method. Penerbit Universiti Kebangsaan Malaysia 2023 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/23688/1/kejut_20.pdf Annie Gorgey, and Noorhelyna Razali, and Nuryazmin Ahmat Zainuri, and Izamarlina Ashaari, and Haliza Othman, and Hasan Kadhim Jawa, (2023) Second-order accuracy in time of finite difference methods for computational aeroacoustics. Jurnal Kejuruteraan, SI -6 (2). pp. 189-200. ISSN 0128-0198 https://www.ukm.my/jkukm/si-6-2-2023/
institution Universiti Kebangsaan Malaysia
building Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description The recently developed second-order accuracy in time finite difference method suitable for computational aeroacoustics (CAA) is introduced. Although, it is straight forward to compute the coefficients for finite-difference method of any order of accuracy using the Taylor series and to then further optimize them to enhance their wavenumber preserving properties, there are difficult questions concerning their numerical stability The goal of this work is to develop an effective numerical technique that includes both linear and nonlinear wave propagation in order to solve acoustics problems in time and space. It also aims to evaluate the accuracy, effectiveness, and stability of the new technique. In 1-D linear and nonlinear computational aeroacoustics, the novel techniques were used. The findings of the conventional methods (square wave (FTCS) technique and step wave lax approach) are presented in this paper, and it is shown that the FTCS method is typically unstable for hyperbolic situations and cannot be employed. Unfortunately, the FTCS equation has very little practical application. It is an unstable method, which can be used only (if at all) to study waves for a short fraction of one oscillation period. Nonlinear instability and shock formation are thus somewhat controlled by numerical viscosity such as that discussed in connection with Lax method equation. The second-order accuracy in time finite difference method is more efficient than the (square wave (FTCS), step wave lax) methods and is faster than the step wave lax method.
format Article
author Annie Gorgey,
Noorhelyna Razali,
Nuryazmin Ahmat Zainuri,
Izamarlina Ashaari,
Haliza Othman,
Hasan Kadhim Jawa,
spellingShingle Annie Gorgey,
Noorhelyna Razali,
Nuryazmin Ahmat Zainuri,
Izamarlina Ashaari,
Haliza Othman,
Hasan Kadhim Jawa,
Second-order accuracy in time of finite difference methods for computational aeroacoustics
author_facet Annie Gorgey,
Noorhelyna Razali,
Nuryazmin Ahmat Zainuri,
Izamarlina Ashaari,
Haliza Othman,
Hasan Kadhim Jawa,
author_sort Annie Gorgey,
title Second-order accuracy in time of finite difference methods for computational aeroacoustics
title_short Second-order accuracy in time of finite difference methods for computational aeroacoustics
title_full Second-order accuracy in time of finite difference methods for computational aeroacoustics
title_fullStr Second-order accuracy in time of finite difference methods for computational aeroacoustics
title_full_unstemmed Second-order accuracy in time of finite difference methods for computational aeroacoustics
title_sort second-order accuracy in time of finite difference methods for computational aeroacoustics
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2023
url http://journalarticle.ukm.my/23688/1/kejut_20.pdf
http://journalarticle.ukm.my/23688/
https://www.ukm.my/jkukm/si-6-2-2023/
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score 13.211869

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