Summary: An adaptive shock-capturing algorithm for solving
unsteady reactive flows
G. Billet a,*, R. Abgrall b
a
ONERA BP 72-29, av. de la Division Leclerc, 92322 Ch^aatillon Cedex, France
b
Institut Universitaire de France et Universitee de Bordeaux, 351 cours de la Libeeration, 33405 Talence, France
Received 26 September 2001; received in revised form 2 July 2002; accepted 18 October 2002
Abstract
A new double flux model is associated with the recent MUSCL-AUSMþ
-triad approach. This coupling
allows to do rapid, accurate and stable numerical computations. 1-D and 2-D inert and reactive flows are
presented.
Ó 2003 Elsevier Science Ltd. All rights reserved.
Keywords: MUSCL approach; TVD schemes; Euler and Navier­Stokes equations; Reactive flows
1. Introduction
The simulation of unsteady flows where very stiff phenomena occur, requires that the algo-
rithms have some qualities. Particularly, when several reactive species are present in the flow, the
strong gradients appearing across the flame have to be captured properly. It is necessary to use a
method that is able to follow the physical and chemical events with good accuracy and stability if

Source: Abgrall, Rémi - Institut de Mathematiques de Bordeaux, Université Bordeaux

Collections: Mathematics