Commun. Comput. Phys., 13 (2013), pp. 479-501.


Conservative Residual Distribution Method for Viscous Double Cone Flows in Thermochemical Nonequilibrium

Andrea Lani 1*, Marco Panesi 2, Herman Deconinck 1

1 Von Karman Institute for Fluid Dynamics, Waterloosesteenweg 72, 1640, Sint Genesius Rode, Belgium.
2 Institute for Computational Engineering and Sciences, University of Texas, Austin, Texas 78712, USA.

Received 16 August 2011; Accepted (in revised version) 27 February 2012
Available online 28 June 2012
doi:10.4208/cicp.160811.270212a

Abstract

A multi-dimensionally upwind conservative Residual Distribution algorithm for simulating viscous axisymmetric hypersonic flows in thermo-chemical nonequilibrium on unstructured grids is presented and validated in the case of the complex flowfield over a double cone configuration. The resulting numerical discretization combines a state-of-the-art nonlinear quasi-monotone second order blended scheme for distributing the convective residual and a standard Galerkin formulation for the diffusive residual. The physical source terms are upwinded together with the convective fluxes. Numerical results show an excellent agreement with experimental measurements and available literature.


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PACS: 47.40.Ki, 47.70.Nd, 47.11.-j, 47.11.Fg
Key words: Unstructured mesh, hypersonic flows, thermo-chemical nonequilibrium, residual distribution schemes, double cone.

*Corresponding author.
Email: lani@vki.ac.be (A. Lani), mpanesi@ices.utexas.edu (M. Panesi), deco@vki.ac.be (H. Deconinck)
 

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