Abstract
In this work we explored the high-order Flux Reconstruction/correction procedure via reconstruction (FR/CPR) in inviscid low Mach number flow calculation. The method presented here is designed to improve the accuracy of the solution at low Mach numbers of the compressible Euler equations. The algorithm is based on modified low dissipation numerical Euler flux functions within FR framework, and the effects of different combinations with low dissipation fluxes are investigated. In the paper we show that low dissipation fluxes is beneficial for low Mach calculation even with high-order reconstruction. The performance of the method is demonstrated by solving an inviscid vortex flow at different low Mach numbers using various degrees of polynomial approximations. Computations with different low dissipation flux functions are performed to analyze the influence of the spatial discretization on the accuracy of the FR solutions at low Mach numbers.
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