Nonholonomic Hamiltonian Method For Meso-Macroscale Simulations Of Reacting Shocks

The seamless integration of macroscale, mesoscale, and molecular scale models of reacting shock physics has been hindered by dramatic differences in the model formulation techniques normally used at different scales. In recent research the authors have developed the first unified discrete Hamiltonian approach to multiscale simulation of reacting shock physics. Unlike previous work, the formulation employs reacting themomechanical Hamiltonian formulations at all scales, including the continuum. Unlike previous work, the formulation employs a nonholonomic modeling approach. Example applications of the method include mesoscale simulations of hot spot formation and macroscale simulations of shock to detonation.