Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/80621
Title: Numerical issues for solving Eu-type generalized hydrodynamic equations to investigate continuum-rarefied gas flows
Authors: Xiao, H
He, Q
Wu, D 
Issue Date: 2019
Publisher: Nature Publishing Group
Source: Scientific reports, 2019, v. 9, no. 1, p. 304 How to cite?
Journal: Scientific reports 
Abstract: Eu-type generalized hydrodynamic equations have been derived from the Boltzmann kinetic theory and applied to investigate continuum and/or rarefied gas flows. This short communication first reports detailed and important issues in the use of the mixed discontinuous Galerkin method to solve Eu-type generalized hydrodynamic equations in multidimensions. Three major issues are reported. These include the treatment of solid boundary conditions for the nonlinear constitutive equations, a slope limiter to maintain high accuracy and avoid unphysical oscillations, and the computational efficiency compared with that of the particle method. In addition, we implement the present model to a rigid problem, which includes gas flows around the NACA0018 airfoil, a sharp wedge, a sphere and a three-dimensional Apollo configuration.
URI: http://hdl.handle.net/10397/80621
EISSN: 2045-2322
DOI: 10.1038/s41598-018-36431-y
Rights: © The Author(s) 2019
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
The following publication Xiao, H., He, Q., & Wu, D. (2019). Numerical Issues for Solving Eu-type Generalized Hydrodynamic Equations to Investigate Continuum-rarefied Gas Flows. Scientific reports, 9(1), 304 is available at https://doi.org/10.1038/s41598-018-36431-y
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