Numerical solution of three-dimensional heterogeneous solid propellants

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By this author: Massa L. ;&nbsp; Jackson T.L. ;&nbsp; Short M.

Authors: Massa L.¹; Jackson T.L.¹; Short M.²

Source: Combustion Theory and Modelling, Volume 7, Number 3, September 2003 , pp. 579-602(24)

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Abstract:

We have described, for the first time, a fully coupled low Mach number numerical algorithm which can be used to investigate the combustion of composite propellants. The code uses a body fitted grid along the moving interface by means of a mapping technique. Specifically, the surface is assumed to be single valued, thus allowing the use of a mapping function that effectively maps the propagating corrugated surface into a stationary flat surface. The transformed connection conditions are then applied along the stationary flat surface, allowing second-order one-sided derivatives to be used. This has proven to be a very robust and efficient way to treat the surface and the connection conditions. Numerical tests are performed and the scheme is shown to be second-order accurate in the spatial directions as well as in time. Selected results are presented for heterogeneous propellants.

Document Type: Miscellaneous

Affiliations: 1: University of Illinois at Urbana-Champaign, Center for the Simulation of Advanced Rockets 1101 W. Springfield Ave., Urbana, IL 61801, USA 2: Department of Theoretical and Applied Mechanics 104 South Wright Street, Urbana, IL 61801, USA

Publication date: 2003-09-01