Implicit Methods

This chapter describes implicit time integration methods developed by four TILDA partners for the application in scale-resolving simulations. While explicit time integration methods like explicit Runge-Kutta methods are traditionally used in scale-resolving simulations they are slowed down significantly for high Reynolds number flows due to their restrictive CFL conditions. Recent developments in implicit solver techniques increased the efficiency of implicit time integration schemes making them competitive to explicit schemes. In this chapter the effectiveness is investigated of implicit time integration methods in the framework of high-order Discontinuous Galerkin methods.