Semi-Implicit DGFE Discretization of the Compressible Navier–Stokes Equations: Efficient Solution Strategy

Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier–Stokes equations

“…In [33], we employed a combination of two multi-step formulae which gives a rigorous strategy and produces satisfactory results. However, we have to solve two linear algebraic systems at each time level which leads to a higher computational cost than the approach described in [30,31].…”

“…In [30,31] we employed a heuristic strategy which exponentially increases the size of the time step. Although this approach leads to an efficient strategy, its drawback is the presence of an user-defined parameter which has no reasonable interpretation.…”