期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 344, 期 -, 页码 1073-1103出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.01.040
关键词
Compressible flow; Aeroacoustics; Low Mach numbers; Non-reflecting boundary conditions; Variational Multi-Scale (VMS)
资金
- Colombian Government - Colciencias
- Spanish Government [RYC-2015-17367]
- ICREA Academia Program, from the Catalan Government
- ELASTIC-FLOW project of the Spanish Government [DPI2015-67857-R]
In this work we solve the compressible Navier-Stokes equations written in primitive variables in order to simulate low Mach number aeroacoustic flows. We develop a Variational Multi-Scale formulation to stabilize the finite element discretization by including the orthogonal, dynamic and non-linear subscales, together with an implicit scheme for advancing in time. Three additional features define the proposed numerical scheme: the splitting of the pressure and temperature variables into a relative and a reference part, the definition of the matrix of stabilization parameters in terms of a modified velocity that accounts for the local compressibility, and the approximation of the dynamic stabilization matrix for the time dependent subscales. We also include a weak imposition of implicit non-reflecting boundary conditions in order to overcome the challenges that arise in the aeroacoustic simulations at low compressibility regimes. The order of accuracy of the method is verified for two- and three-dimensional linear and quadratic elements using steady manufactured solutions. Several benchmark flow problems are studied, including transient examples and aeroacoustic applications. (C) 2018 Elsevier B.V. All rights reserved.
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