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Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

Published online by Cambridge University Press:  03 June 2015

Andrea Lani ,
Björn Sjögreen ,
H. C. Yee  and
William D. Henshaw
Andrea Lani*
Affiliation:
NASA Ames /Stanford Centre for Turbulence Research, Palo Alto, CA, USA
Björn Sjögreen*
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA, USA
H. C. Yee*
Affiliation:
MS 258-5, NASA Ames Research Center, Moffett Field, CA, USA
William D. Henshaw*
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA, USA
*
Corresponding author.Email:alani0@stanford.edu
Email:Sjögreen2@llnl.gov
Email:helen.m.yee@nasa.gov
Email:henshaw@llnl.gov
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Abstract

The variable high-order multiblock overlapping (overset) grids method of Sjögreen & Yee [CiCP, Vol. 5, 2009] for a perfect gas has been extended to nonequilibrium flows. This work makes use of the recently developed high-order well-balanced shock-capturing schemes and their filter counterparts [Wang et al., J. Comput. Phys., 2009, 2010] that exactly preserve certain non-trivial steady state solutions of the chemical nonequilibrium governing equations. Multiscale turbulence with strong shocks and flows containing both steady and unsteady components is best treated by mixing of numerical methods and switching on the appropriate scheme in the appropriate subdomains of the flow fields, even under the multiblock grid or adaptive grid refinement framework. While low dissipative sixth- or higher-order shock-capturing filter methods are appropriate for unsteady turbulence with shocklets, second- and third- order shock-capturing methods are more effective for strong steady or nearly steady shocks in terms of convergence. It is anticipated that our variable high-order overset grid framework capability with its highly modular design will allow for an optimum synthesis of these new algorithms in such a way that the most appropriate spatial discretizations can be tailored for each particular region of the flow. In this paper some of the latest developments in single block high-order filter schemes for chemical nonequilibrium flows are applied to overset grid geometries. The numerical approach is validated on a number of test cases characterized by hypersonic conditions with strong shocks, including the reentry flow surrounding a 3D Apollo-like NASA Crew Exploration Vehicle that might contain mixed steady and unsteady components, depending on the flow conditions.

Keywords

65Z0565M0665M5065M5565M6065M9965Y99

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Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 2 , February 2013 , pp. 583 - 602
Copyright
Copyright © Global Science Press Limited 2013

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