PUMA
Istituto di Matematica Applicata e Tecnologie Informatiche     
Bertolazzi E., Manzini G. A Triangle-based Unstructured Finite Volume Method for Chemically Reactive Hypersonic Flows. Preprint ercim.cnr.ian//1999-1162, 1999.
 
 
Abstract
(English)
A triangle-based unstructured finite volume method is developed for non-stationary chemically reactive hypersonic calculations. The method is based on a Steger-Warming flux vector-splitting approach generalized to mixtures of thermally perfect gases. Second order-in-space and -time accuracy is provided by limited flux blending and an implicit multi-stage time marching scheme. The final stiff non-linear problem resulting from discretization presents a very peculiar block diagonal structure. This allows a decoupling of the species and gas dynamic equations in smaller sub problems. A linear algebra argument based on M-matrix theory allows also to show that the method guarantees positivity of species mass densities and vibrational energies under a reasonable CFL-like constraint. Finally, a set of 2-D numerical test cases illustrates the performance of the method.
Subject Hypersonic flows, unstructured grids, finite volumes, semi-implicit schemes, M-matrix


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