The predictive capabilities of a new, 14-moment, maximum-entropy-based, interpolative closure are explored for multi-dimensional non-equilibrium flows with heat transfer. Unlike the maximum-entropy closure on which it is based, the interpolative closure provides closed-form expressions for the closing fluxes. While still presenting singular solutions in regions of realizable moment space, the interpolative closure proves to have a large region of hyperbolicity while remaining tractable. Furthermore, its singular nature is deemed advantageous for practical simulations. An implicit finite-volume procedure is proposed and described for the numerical solution of the 14-moment closure on two-dimensional computational domains, followed by a presentation and discussion of the results of a numerical dispersion analysis. Multi-dimensional applications of the closure are then examined for several canonical flow problems in order to provide an assessment of the capabilities of this novel closure for a range of non-equilibrium flows. The computational performance of the implicit solver is compared to a semi-implicit method. The predictive capabilities of the 14-moment interpolative closure were found to surpass those of the 10-moment Gaussian closure. It was also found to predict interesting non-equilibrium phenomena, such as counter-gradient heat flux. The implicit solver showed improved computational performance compared to the previously studied semi-implicit technique.
展开▼
