A Front Tracking Method for Compressible Flames in One Dimension

A numerical method is presented for the treatment of one-dimensional compressible flames. The method consists of a conservative front tracking algorithm for use near the flame and a high-order finite difference scheme for capturing the hydrodynamics throughout the rest of the domain. The results presented show that the method effectively models the interaction of gas dynamics with both deflagration and detonation waves. This approach has the advantage that it can be generalized to more than one dimension.