Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation

摘要: We investigate the adaption of recently developed exponential integrators called EPIRK in so-called domain-based implicit-explicit (IMEX) setting spatially discretized PDE's. The schemes were shown to be efficient for sufficiently stiff problems and offer high precision good stability properties like A- L-stability theory. In practice, however, we can show that these are dependent on parameters interior approximation techniques.Here, introduce IMEX-EPIRK method, which consists coupling an explicit Runge-Kutta scheme with scheme. briefly analyze its linear stability, conservation property set up a CFL condition. Though method is convergent only first order, it demonstrates advantages this novel type very well. (Less)