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A High-Order Relaxation Method for Condensed Explosives Detonation

Authors:
Ming Yu
Zhibo Ma

Keywords: relaxation method; detonation wave; condensed explosives; high-order precision scheme; high resolution scheme

Abstract:
The paper gives a high-order precision and high resolution scheme for the governing equations of the detonation in condensed explosives. Based on the relaxation approximation, the nonlinear governing equations of condensed explosives detonation are transformed into linear relaxation systems, in which it can avoid solving Riemann problem and calculating the Jacobian matrix of nonlinear flux, and it is not necessary to split the source term of chemical reaction law. A fifth-order WENOM (Mapped Weighted Essentially Non-Oscillatory) reconstruction in space discretization and a fifth-order IMEX (IMplicit-EXplicit) scheme of linear multistep methods with monotonicity and TVB (Total Variation Boundedness) in time discrtiezation are utilized. The proposed method is applied to numerically simulate the steady structure of a one-dimensional planar detonation wave and the unsteady propagation of a one-dimensional spherically divergent detonation wave in explosives PBX-9502. The test cases demonstrate that the proposed method can obtain very satisfactory numerical results in terms of accuracy and resolution.

Pages: 1 to 6

Copyright: Copyright (c) IARIA, 2015

Publication date: July 19, 2015

Published in: conference

ISSN: 2308-4499

ISBN: 978-1-61208-419-0

Location: Nice,France

Dates: from July 19, 2015 to July 24, 2015