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On the Use of the HLL-Scheme for the Simulation of the Multi-Species Euler Equations

  • Phillip Berndt
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)

Abstract

The HLL approximate Riemann solver is a reliable, fast and easy to implement tool for the under-resolved computation of inviscid flows. When applied to multi-species flows, it generates pressure oscillations at material interfaces. This is a well-known behaviour of conservative solvers and has been addressed as a problem by several authors before. We show that for this particular solver, the generation of pressure oscillations can be desired and is consistent with the underlying physics.

Keywords

Mass Fraction Euler Equation Riemann Problem Pressure Oscillation Contact Discontinuity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work was funded by the German Research Foundation (DFG) as part of the collaborative research center (SFB) 1029 “Turbin—Substantial efficiency increase in gas turbines through direct use of coupled unsteady combustion and flow dynamics”. It is part of doctoral studies supervised by Rupert Klein at the Geophysical Fluid Dynamics group at Freie Universität Berlin.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Freie Universität BerlinDepartment of Mathematics and Computer ScienceBerlinGermany

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