ON RIEMANN-PROBLEM-BASED METHODS FOR DETONATIONS IN SOLID ENERGETIC MATERIALS

This paper compares several high-resolution schemes for the computatio n 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 sc hemes are discussed The accuracy of both schemes, full Eulerian and sh ock-tracking variant, is clearly demonstrated. In addition, the validi ty of the results is shown. For one-dimensional applications the shock -tracking scheme is very accurate and relatively simple. For multidime nsional applications it is recommended that the full Eulerian version be used. (C) 1998 John Wiley & Sons, Ltd.