Premium
A generalized Rusanov method for the Baer‐Nunziato equations with application to DDT processes in condensed porous explosives
Author(s) -
Menshov Igor,
Serezhkin Alexey
Publication year - 2017
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4419
Subject(s) - godunov's scheme , explosive material , detonation , finite volume method , riemann problem , mathematics , compressibility , extension (predicate logic) , numerical analysis , scheme (mathematics) , riemann solver , mechanics , mathematical analysis , riemann hypothesis , physics , computer science , chemistry , organic chemistry , programming language
Summary The paper addresses a numerical approach for solving the Baer‐Nunziato equations describing compressible 2‐phase flows. We are developing a finite‐volume method where the numerical flux is approximated with the Godunov scheme based on the Riemann problem solution. The analytical solution to this problem is discussed, and approximate solvers are considered. The obtained theoretical results are applied to develop the discrete model that can be treated as an extension of the Rusanov numerical scheme to the Baer‐Nunziato equations. Numerical results are presented that concern the method verification and also application to the deflagration‐to‐detonation transition (DDT) in porous reactive materials.