A numerical scheme based on an immersed boundary method for compressible turbulent flows with shocks: Application to two-dimensional flows around cylinders

Shun Takahashi, Taku Nonomura, Kota Fukuda

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

A computational code adopting immersed boundary methods for compressible gas-particle multiphase turbulent flows is developed and validated through two-dimensional numerical experiments. The turbulent flow region is modeled by a second-order pseudo skew-symmetric form with minimum dissipation, while the monotone upstream-centered scheme for conservation laws (MUSCL) scheme is employed in the shock region. The present scheme is applied to the flow around a two-dimensional cylinder under various freestream Mach numbers. Compared with the original MUSCL scheme, the minimum dissipation enabled by the pseudo skew-symmetric form significantly improves the resolution of the vortex generated in the wake while retaining the shock capturing ability. In addition, the resulting aerodynamic force is significantly improved. Also, the present scheme is successfully applied to moving two-cylinder problems.

Original languageEnglish
Article number252478
JournalJournal of Applied Mathematics
Volume2014
DOIs
Publication statusPublished - 2014
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics

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