Numerical Simulations

Our primary focus is on developing high-order shock-fitting methods for problems of multi-dimensional detonation propagation. The phenomenon of detonation poses significant challenges for numerical methods due to very complex instabilities that are inherent to detonation shocks. Very careful resolution of shock propagation is necessary to capture these instabilities. In addition, we also work on algorithms and numerical simulations of systems of reaction-diffusion equations and dispersive PDE.