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2014 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
J. Appl. Math. 2014(SI02): 1-21 (2014). DOI: 10.1155/2014/252478

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.

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Shun Takahashi. Taku Nonomura. Kota Fukuda. "A Numerical Scheme Based on an Immersed Boundary Method for Compressible Turbulent Flows with Shocks: Application to Two-Dimensional Flows around Cylinders." J. Appl. Math. 2014 (SI02) 1 - 21, 2014. https://doi.org/10.1155/2014/252478

Information

Published: 2014
First available in Project Euclid: 1 October 2014

MathSciNet: MR3178955
Digital Object Identifier: 10.1155/2014/252478

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI02 • 2014
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