期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 363, 期 -, 页码 11-29出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2018.02.029
关键词
Isentropic flow; Computational aeroacoustics; Finite elements; Weak imposition of boundary conditions
资金
- CERCA Programme/Generalitat de Catalunya
- EU-FET [EUNISON 308874]
- Agencia de Gestio d'Ajuts Universitaris i de Recerca [2015 FI-B 00227]
- Catalan Government through the ICREA Academia Research Program
- Spanish Government through the Ramon y Cajal grant [RYC-2015-17367]
- Secretaria d'Universitats i Recerca del Departament d'Economia i Coneixement (Generalitat de Catalunya) [2014-SGR-0590]
- Generalitat de Catalunya [2016-URL-IR-013]
- Universitat Ramon Llull
The high computational cost of solving numerically the fully compressible Navier-Stokes equations, together with the poor performance of most numerical formulations for compressible flow in the low Mach number regime, has led to the necessity for more affordable numerical models for Computational Aeroacoustics. For low Mach number subsonic flows with neither shocks nor thermal coupling, both flow dynamics and wave propagation can be considered isentropic. Therefore, a joint isentropic formulation for flow and aeroacoustics can be devised which avoids the need for segregating flow and acoustic scales. Under these assumptions density and pressure fluctuations are directly proportional, and a two field velocity-pressure compressible formulation can be derived as an extension of an incompressible solver. Moreover, the linear system of equations which arises from the proposed isentropic formulation is better conditioned than the homologous incompressible one due to the presence of a pressure time derivative. Similarly to other compressible formulations the prescription of boundary conditions will have to deal with the backscattering of acoustic waves. In this sense, a separated imposition of boundary conditions for flow and acoustic scales which allows the evacuation of waves through Dirichlet boundaries without using any tailored damping model will be presented. (C) 2018 Elsevier Inc. All rights reserved.
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