In this paper we present a collection of techniques used to formulate a projection-based reduced order model (ROM) for zero Mach limit thermally coupled Navier–Stokes equations. The formulation derives from a standard proper orthogonal decomposition model reduction, and includes modifications to improve the drawbacks caused by the inherent non-linearity of the used Navier–Stokes equations: a hyper-ROM technique based on mesh coarsening; an implicit ROM subscales formulation based on a variational multi-scale framework; and a Petrov–Galerkin projection necessary in the case of non-symmetric terms. At the end of the article, we test the proposed ROM formulation using 2D and 3D versions of the same example: a differentially heated cavity.
CITATION STYLE
Reyes, R., Codina, R., Baiges, J., & Idelsohn, S. (2018). Reduced order models for thermally coupled low Mach flows. Advanced Modeling and Simulation in Engineering Sciences, 5(1). https://doi.org/10.1186/s40323-018-0122-7
Mendeley helps you to discover research relevant for your work.