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Numerical solution of maximum-entropy-based hyperbolic moment closures for the prediction of viscous heat-conducting gaseous flows. (English) Zbl 1346.76141

Kuzmin, Alexander (ed.), Computational fluid dynamics 2010. Proceedings of the 6th international conference on computational fluid dynamics, ICCFD6, St. Petersburg, Russia, July 12–16, 2010. Berlin: Springer (ISBN 978-3-642-17883-2/hbk; 978-3-642-17884-9/ebook). 653-659 (2011).
Summary: The use of hyperbolic high-order moment closures for the numerical prediction of gas flows is considered. These closures provide transport equations for an extended set of fluid-mechanic properties that can account for the evolution of gases both in and out of local thermodynamic equilibrium. Also, the first-order nature of moment equations allows for the prediction of viscous or heat-transfer effects without the need for the computation of second derivatives. Numerical solutions to first-order hyperbolic equations are less sensitive to grid irregularities which often result from adaptive-mesh-refinement or embedded-boundary techniques. In addition, the lower requirements on the order of the derivatives also means that numerical schemes for moment equations can in general gain an extra order of spatial accuracy for the same reconstruction stencil when compared to equations requiring the use of second-order derivatives. This work examines the practical use of high-order maximum-entropy moment closures for the prediction of viscous, heat-conducting gas flows. As a test problem, shock-structure calculations are shown for a wide range of shock Mach numbers.
For the entire collection see [Zbl 1216.76010].

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
76N99 Compressible fluids and gas dynamics
80A20 Heat and mass transfer, heat flow (MSC2010)
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