Implicit-explicit Runge-Kutta methods for stiff combustion problems [chapter]

E. Lindblad, D.M. Valiev, B. Müller, J. Rantakokko, P. Lütstedt, M.A. Liberman
2009 Shock Waves  
New high order implicit-explicit Runge-Kutta methods have been developed and implemented into a finite volume code to solve the Navier-Stokes equations for reacting gas mixtures. If only the stiff chemistry is treated implicitly, the linear systems in each Newton iteration are simple and solved directly. Numerical simulations of deflagration-to-detonation transition (DDT) show the potential of the new time integration for computational combustion.
doi:10.1007/978-3-540-85168-4_47 fatcat:77gxy4uzjjgifpqucd4htknosy