A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations |
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Authors: | Matias Avila Javier Principe Ramon Codina |
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Affiliation: | 1. Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain;2. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain |
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Abstract: | In this work we propose a variational multiscale finite element approximation of thermally coupled low speed flows. The physical model is described by the low Mach number equations, which are obtained as a limit of the compressible Navier–Stokes equations in the small Mach number regime. In contrast to the commonly used Boussinesq approximation, this model permits to take volumetric deformation into account. Although the former is more general than the latter, both systems have similar mathematical structure and their numerical approximation can suffer from the same type of instabilities. |
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Keywords: | Thermally coupled flow Low Mach number flow Variational multiscale method Dynamic subscale |
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