Geodesic
Evaluation of the 1-D hyperbolic quadrature method of moments for non-equilibrium flows
Frédérique Laurent1 ; Rodney O. Fox2
1 Laboratoire EM2C & Fédération de Mathématiques de CentraleSupélec, CNRS, CentraleSupélec, Université Paris-Saclay, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France
2 Department of Chemical and Biological Engineering, Iowa State University, 618 Bissell Road, Ames, IA 50011-1098, USA
ESAIM. Proceedings, Tome 76 (2024), pp. 52-67.

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When considering moment methods for the resolution of the free-transport term of the 1-D kinetic equation, the hyperbolic quadrature method of moments (HyQMOM) closure introduced in [12] leads to a globally hyperbolic system of conservation equations. Here, the HLL scheme used for its resolution is first proved to be realizable, i.e., allows computed moments to remain moments of a positive measure, exploiting a new property shown for the closure. Then, the accuracy of HyQMOM is evaluated for two test cases from the literature. The first is related to rarefied gas dynamics, where the internal structure of stationary shock waves is simulated for non-equilibrium cases. The second is related to the description of a population of inertial particles, where two populations cross each other without interacting.
DOI : 10.1051/proc/202476052

Frédérique Laurent 1 ; Rodney O. Fox 2

1 Laboratoire EM2C & Fédération de Mathématiques de CentraleSupélec, CNRS, CentraleSupélec, Université Paris-Saclay, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France
2 Department of Chemical and Biological Engineering, Iowa State University, 618 Bissell Road, Ames, IA 50011-1098, USA 
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     title = {Evaluation of the {1-D} hyperbolic quadrature method of moments for non-equilibrium flows},
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Frédérique Laurent; Rodney O. Fox. Evaluation of the 1-D hyperbolic quadrature method of moments for non-equilibrium flows. ESAIM. Proceedings, Tome 76 (2024), pp. 52-67. doi : 10.1051/proc/202476052. http://geodesic.mathdoc.fr/articles/10.1051/proc/202476052/

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