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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.
EISSN: 2045-2322
DOI: 10.1038/s41598-018-36431-y
Rights: © The Author(s) 2019
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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
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