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Unified solver for fluid dynamics and aeroacoustics in isentropic gas flows

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10.1016/j.jcp.2018.02.029
 
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hdl:2117/115963

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Pont Ribas, Arnau
Codina, RamonMés informacióMés informacióMés informació
Baiges Aznar, JoanMés informacióMés informacióMés informació
Guasch Fortuny, Oriol
Document typeArticle
Defense date2018-06
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
Abstract
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.
CitationPont, A., Codina, R., Baiges, J., Guasch, O. Unified solver for fluid dynamics and aeroacoustics in isentropic gas flows. "Journal of computational physics", Juny 2018, vol. 363, p. 11-29. 
URIhttp://hdl.handle.net/2117/115963
DOI10.1016/j.jcp.2018.02.029
ISSN0021-9991
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S0021999118301116
Other identifiershttps://www.researchgate.net/publication/319490349_Unified_solver_for_fluid_dynamics_and_aeroacoustics_in_isentropic_gas_flows
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