The Random Projection Method for Stiff Detonation Capturing

Authors:
Weizhu Bao;Shi Jin
Affiliations:
-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2001

Citing 0
Cited 6

The random projection method for stiff multispecies detonation capturing

Journal of Computational Physics
Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms

Applied Numerical Mathematics
On a practical implementation of particle methods

Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)
Numerical solution of under-resolved detonations

Journal of Computational Physics
High order finite difference methods with subcell resolution for advection equations with stiff source terms

Journal of Computational Physics
The equilibrium state method for hyperbolic conservation laws with stiff reaction terms

Journal of Computational Physics

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Abstract

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 based on the random projection method proposed by the authors for general hyperbolic systems with stiff reaction terms [W. Bao and S. Jin, J. Comput. Phys., 163 (2000), pp. 216--248], where the ignition temperature is randomized in a suitable domain. It is simplified using the equations of instantaneous reaction and then extended to handle the interactions of detonations. Extensive numerical experiments, including interaction of detonation waves, and in two dimensions, demonstrate the reliability and robustness of this novel method.