Crochet, M. W.; Gonthier, K. A. A Riemann problem solution methodology for a class of evolutionary mixture equations with an arbitrary number of components. (English) Zbl 1302.76195 Appl. Numer. Math. 76, 145-165 (2014). MSC: 76T25 65M25 80A25 PDFBibTeX XMLCite \textit{M. W. Crochet} and \textit{K. A. Gonthier}, Appl. Numer. Math. 76, 145--165 (2014; Zbl 1302.76195) Full Text: DOI
Crochet, M. W.; Gonthier, K. A. Numerical investigation of a modified family of centered schemes applied to multiphase equations with nonconservative sources. (English) Zbl 1349.76319 J. Comput. Phys. 255, 266-292 (2013). MSC: 76M12 65M08 76Txx PDFBibTeX XMLCite \textit{M. W. Crochet} and \textit{K. A. Gonthier}, J. Comput. Phys. 255, 266--292 (2013; Zbl 1349.76319) Full Text: DOI
Gonthier, Keith A.; Powers, Joseph M. A high-resolution numerical method for a two-phase model of deflagration-to-detonation transition. (English) Zbl 0995.76062 J. Comput. Phys. 163, No. 2, 376-433 (2000). MSC: 76M20 76V05 76T15 80A25 74F25 PDFBibTeX XMLCite \textit{K. A. Gonthier} and \textit{J. M. Powers}, J. Comput. Phys. 163, No. 2, 376--433 (2000; Zbl 0995.76062) Full Text: DOI Link
Gonthier, K. A.; Powers, J. M. A numerical investigation of transient detonation in granulated material. (English) Zbl 0867.76057 Shock Waves 6, No. 4, 183-195 (1996). MSC: 76M20 76V05 76T99 76L05 PDFBibTeX XMLCite \textit{K. A. Gonthier} and \textit{J. M. Powers}, Shock Waves 6, No. 4, 183--195 (1996; Zbl 0867.76057) Full Text: DOI