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Assessment of Heat Flux Prediction Capabilities of Residual Distribution Method: Application to Atmospheric Entry Problems

Published online by Cambridge University Press:  24 March 2015

Jesús Garicano Mena ,
Raffaele Pepe ,
Andrea Lani  and
Herman Deconinck
Jesús Garicano Mena*
Affiliation:
von Karman Institute for Fluid Dynamics, Sint-Genesius-Rhode, Belgium Université Libre de Bruxelles, Bruxelles, Belgium
Raffaele Pepe
Affiliation:
von Karman Institute for Fluid Dynamics, Sint-Genesius-Rhode, Belgium Scuola di Ingegneria, Universitá degli Studi della Basilicata, Potenza, Italy
Andrea Lani
Affiliation:
von Karman Institute for Fluid Dynamics, Sint-Genesius-Rhode, Belgium
Herman Deconinck
Affiliation:
von Karman Institute for Fluid Dynamics, Sint-Genesius-Rhode, Belgium Université Libre de Bruxelles, Bruxelles, Belgium
*
*Corresponding author. Email addresses:jesus.garicano.mena@vki.ac.be (J. Garicano Mena), raffaele.pepe@unibas.it (R. Pepe), lani@vki.ac.be (A. Lani), deconinck@vki.ac.be (H. Deconinck)
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Abstract

In the present contribution we evaluate the heat flux prediction capabilities of second-order accurate Residual Distribution (RD) methods in the context of atmospheric (re-)entry problems around blunt bodies. Our departing point is the computation of subsonic air flows (with air modeled either as an inert ideal gas or as chemically reacting and possibly out of thermal equilibrium gas mixture) around probe-like geometries, as those typically employed into high enthalpy wind tunnels. We confirm the agreement between the solutions obtained with the RD method and the solutions computed with other Finite Volume (FV) based codes.

However, a straightforward application of the same numerical technique to hypersonic cases involving strong shocks exhibits severe deficiencies even on a geometry as simple as a 2D cylinder. In an attempt to mitigate this problem, we derive new variants of RD schemes. A comparison of these alternative strategies against established ones allows us to derive a diagnose for the shortcomings observed in the traditional RD schemes.

Keywords

47.40.Ki47.70.Nd47.11.-j47.11.FgUnstructured meshhypersonic flowsthermo-chemical nonequilibriumresidual distribution schemes

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Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 3 , March 2015 , pp. 682 - 702
Copyright
Copyright © Global-Science Press 2015 

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