Comparison of algorithms for simulating multi-component reacting flows using high-order discontinuous Galerkin methods

摘要

This work compares two approaches for simulating reacting flows using high-order discontinuous Galerkin methods. On the one hand, the double flux method was developed in order to overcome the well-known issue of pressure oscillations at contact interfaces when variable thermodynamic properties are used. This quasi-conservative scheme was previously applied to high-speed inviscid reacting flows but potential issues with lower-Mach flows and viscous effects were not discussed. On the other hand, the fully conservative formulation, although inconsistent with pressure equilibrium at contact interfaces, allows a conservative scheme consistent with the sub-cell resolution of high-order schemes. These two approaches are compared on several test cases and their strength and weaknesses are analyzed.