The Riemann problem for the Baer-Nuziato two-phase flow model

Nikolai Andrianov, Gerald Warnecke

Publikation: Bidrag til tidsskriftArtikelForskningpeer review

128 Citationer (Scopus)

Abstrakt

We consider the Riemann problem for the two-phase flow model, proposed by Baer and Nunziato, [Int. J. Multiphase Flows 12 (1986) 861]. It describes the flame spread and the deflagration-to-detonation transition (DDT) in gas-permeable, reactive granular materials. The model is given by a non-strictly hyperbolic, non-conservative system of partial differential equations. We investigate the structure of the Riemann problem and construct the exact solution for it. We establish that the solution across one wave is not unique and propose to use the evolutionarity criterion to single out the admissible solution. Due to special structure of the Riemann problem for the Baer-Nunziato model, we are able to introduce a notion of a weak solution for it. Finally, we propose a number of test cases, based on the exact solution to the Riemann problem for the Baer-Nunziato model.

OriginalsprogEngelsk
Sider (fra-til)434-464
Antal sider31
TidsskriftJournal of Computational Physics
Vol/bind195
Udgave nummer2
DOI
StatusUdgivet - 10 apr. 2004
Udgivet eksterntJa

Programområde

  • Programområde 3: Energiressourcer

Fingeraftryk

Dyk ned i forskningsemnerne om 'The Riemann problem for the Baer-Nuziato two-phase flow model'. Sammen danner de et unikt fingeraftryk.

Citationsformater