Construction, Analysis and Application of Coupled Compact Difference Scheme in Computational Acoustics and Fluid Flow Problems
Year: 2015
Communications in Computational Physics, Vol. 18 (2015), Iss. 4 : pp. 957–984
Abstract
In the present work, a new type of coupled compact difference scheme has been proposed for the solution of computational acoustics and flow problems. The proposed scheme evaluates the first, the second and the fourth derivative terms simultaneously. Derived compact difference scheme has a significant spectral resolution and a physical dispersion relation preserving (DRP) ability over a considerable wavenumber range when a fourth order four stage Runge-Kutta scheme is used for the time integration. Central stencil has been used for the present numerical scheme to evaluate spatial derivative terms. Derived scheme has the capability of adding numerical diffusion adaptively to attenuate spurious high wavenumber oscillations responsible for numerical instabilities. The DRP nature of the proposed scheme across a wider wavenumber range provides accurate results for the model wave equations as well as computational acoustic problems. In addition to the attractive feature of adaptive diffusion, present scheme also helps to control spurious reflections from the domain boundaries and is projected as an alternative to the perfectly matched layer (PML) technique.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.101214.250515s
Communications in Computational Physics, Vol. 18 (2015), Iss. 4 : pp. 957–984
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
-
Effective control of aeolian tone using a pair of splitter plates
Mahato, Bikash | Ganta, Naveen | Bhumkar, Yogesh G.Journal of Sound and Vibration, Vol. 494 (2021), Iss. P.115906
https://doi.org/10.1016/j.jsv.2020.115906 [Citations: 5] -
Analysis of sound generation by flow past a circular cylinder performing rotary oscillations using direct simulation approach
Ganta, Naveen | Mahato, Bikash | Bhumkar, Yogesh G.Physics of Fluids, Vol. 31 (2019), Iss. 2
https://doi.org/10.1063/1.5063642 [Citations: 33] -
Computation of Aeroacoustics and Fluid Flow Problems Using a Novel Dispersion Relation Preserving Scheme
Mahato, Bikash | Naveen, Ganta | Bhumkar, Yogesh G.Journal of Theoretical and Computational Acoustics, Vol. 28 (2020), Iss. 01 P.1850063
https://doi.org/10.1142/S2591728518500639 [Citations: 5] -
A higher-order numerical analysis to study the flow physics and to optimize the design of a short-dwell blade coaters for higher efficiency
Sahoo, Bapuji | Mahato, Bikash | Sekhar, T. V. S.Journal of Physics: Conference Series, Vol. 2090 (2021), Iss. 1 P.012053
https://doi.org/10.1088/1742-6596/2090/1/012053 [Citations: 0] -
Computational Aerodynamics and Aeroacoustics
Solutions of Computational Acoustic Problems Using DRP Schemes
Sengupta, Tapan K. | Bhumkar, Yogesh G.2020
https://doi.org/10.1007/978-981-15-4284-8_7 [Citations: 0] -
Computational Aerodynamics and Aeroacoustics
Governing Equations for Aerodynamics and Acoustics
Sengupta, Tapan K. | Bhumkar, Yogesh G.2020
https://doi.org/10.1007/978-981-15-4284-8_3 [Citations: 0] -
Direct simulation of sound generation by a two-dimensional flow past a wedge
Mahato, Bikash | Ganta, Naveen | Bhumkar, Yogesh G.Physics of Fluids, Vol. 30 (2018), Iss. 9
https://doi.org/10.1063/1.5039953 [Citations: 21] -
A mass-preserving level set method for simulating 2D/3D fluid flows with deformed interface
Wen, Hao-Liang | Yu, Ching-Hao | Sheu, Tony Wen-Hann | Chau, Shiu-WuOcean Engineering, Vol. 283 (2023), Iss. P.115063
https://doi.org/10.1016/j.oceaneng.2023.115063 [Citations: 2] -
Prediction of the aerodynamic sound generated due to flow over a cylinder performing combined steady rotation and rotary oscillations
Ganta, Naveen | Mahato, Bikash | Bhumkar, Yogesh G.The Journal of the Acoustical Society of America, Vol. 147 (2020), Iss. 1 P.325
https://doi.org/10.1121/10.0000585 [Citations: 8] -
Modulation of sound waves for flow past a rotary oscillating cylinder in a non-synchronous region
Ganta, Naveen | Mahato, Bikash | Bhumkar, Yogesh G.Physics of Fluids, Vol. 31 (2019), Iss. 9
https://doi.org/10.1063/1.5104286 [Citations: 6]