Study of a high-order flux reconstruction formula with different low-dissipation Euler fluxes at low Mach flow

Boxi Lin, Chao Yan, Shusheng Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish
Title of host publication2017 8th International Conference on Mechanical and Aerospace Engineering, ICMAE 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages472-477
Number of pages6
ISBN (Electronic)9781538633052
DOIs
StatePublished - 14 Sep 2017
Externally publishedYes
Event8th International Conference on Mechanical and Aerospace Engineering, ICMAE 2017 - Prague, Czech Republic
Duration: 22 Jul 201725 Jul 2017

Publication series

Name2017 8th International Conference on Mechanical and Aerospace Engineering, ICMAE 2017

Conference

Conference8th International Conference on Mechanical and Aerospace Engineering, ICMAE 2017
Country/TerritoryCzech Republic
CityPrague
Period22/07/1725/07/17

Keywords

  • computational fluid dynamics
  • Flux reconstruction/correction procedure via reconstruction (FR/CPR)
  • low Mach number
  • numerical dissipation
  • riemann solvers

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