@Article{CiCP-26-880,
author = {Zhongzheng Jiang, Wenwen Zhao, Weifang Chen and Ramesh K. Agarwal},
title = {An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {3},
pages = {880--912},
abstract = {<p style="text-align: justify;">It is well-established that the accurate simulation of hypersonic rarefied gas
flows cannot be accomplished by Navier-Stokes-Fourier (NSF) equations since they
are applicable only for small deviations from local thermodynamic equilibrium. To accurately and efficiently solve this problem, a nonlinear-coupled-constitutive-relation
(NCCR) model was developed from Eu&#39;s generalized hydrodynamic equations, which
are consistent with the laws of irreversible thermodynamics. In this paper, Myong&#39;s
decomposed solver is extended for solving three-dimensional diatomic nonlinear coupled algebraic constitutive equations. Subsequently, a reliable undecomposed hybrid
algorithm is proposed for the complete solution of NCCR model through combining
the merits of fixed-point and Newton&#39;s iterations. The new-developed computational
method is validated by high-speed rarefied flows around a cylinder and the Apollo
command module. Computation shows that the undecomposed hybrid algorithm
makes a great improvement in computational robustness and accuracy. Moreover, this
nonlinear constitutive model yields solutions in better agreement with DSMC than
NSF model. The results indicate that NCCR model is capable of capturing the physical
flow properties away from equilibrium and demonstrate its great potential capability
in the further application.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0056},
url = {http://global-sci.org/intro/article_detail/cicp/13151.html}
}