In this paper we present a simple and robust random projection method for underresolved
numerical simulation of stiff detonation waves in chemically reacting flows. This method is …

In this paper we extend the random projection method, proposed for general hyperbolic
systems with stiff reaction terms, for underresolved numerical simulation of stiff, inviscid …

We propose a random projection method for numerical simulations of hyperbolic
conservation laws with stiff source terms arising from chemically reactive flows: U t+ F (U) x+ …

In this paper, a new operator splitting method is proposed for capturing stiff and nonstiff
detonation waves. In stiff cases, an incorrect propagation of discontinuities might be …

Numerical simulations can be the key to the thorough understanding of the multi-
dimensional nature of transient detonation waves. But the accurate approximation of realistic …

A novel, highly accurate numerical scheme based on shock-fitting coupled with fifth order
spatial and temporal discretizations is applied to a classical unsteady detonation problem to …

The approximation of transient detonation waves requires numerical methods that are able
to resolve a wide range of different scales. Especially the accurate consideration of detailed …

Various regimes for unstable detonations are studied numerically using a new high
resolution method. The need for such a method is established in a preliminary review of a …

In the design of explosive systems, the generic problem that one must consider is the
propagation of a well-developed detonation wave sweeping through an explosive charge …

Detonation simulation is one of the computationally most challenging hyperbolic problems of
practical interest. The source terms from detailed non-equilibrium chemistry are usually stiff …