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On Riemann‐problem‐based methods for detonations in solid energetic materials
Author(s) -
Saurel Richard,
Massoni Jacques
Publication year - 1998
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/(sici)1097-0363(19980115)26:1<101::aid-fld629>3.0.co;2-0
Subject(s) - eulerian path , riemann problem , riemann solver , explosive material , detonation , shock (circulatory) , context (archaeology) , computation , mathematics , solver , shock wave , simple (philosophy) , computer science , algorithm , riemann hypothesis , mathematical optimization , mathematical analysis , mechanics , physics , geology , lagrangian , finite volume method , medicine , philosophy , chemistry , paleontology , epistemology , organic chemistry
This paper compares several high‐resolution schemes for the computation of detonation waves in solid explosives. The essential difficulty in comparison with the usual application domain of these schemes is due to the complexity and variety of the equations of state which are used. The HLLC Riemann solver is used in the context of an Eulerian MUSCL scheme and in conjunction with a shock‐tracking scheme. The motivation and justification for the various choices in the building of these schemes are discussed. The accuracy of both schemes, full Eulerian and shock‐tracking variant, is clearly demonstrated. In addition, the validity of the results is shown. For one‐dimensional applications the shock‐tracking scheme is very accurate and relatively simple. For multidimensional applications it is recommended that the full Eulerian version be used. © 1998 John Wiley & Sons, Ltd.