On the Use of the HLL-Scheme for the Simulation of the Multi-Species Euler Equations
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.
KeywordsMass Fraction Euler Equation Riemann Problem Pressure Oscillation Contact Discontinuity
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.
- 3.Einfeldt, B.: A intuitionistic approach to the fluid continuum. http://discontinuous-flow.blogspot.de/2012/08/a-intuitionistic-approach-to-fluid.html (2012) Accessed 7 Feb 2014